This research is focused on the singularity analysis for single-gimbal control moment gyros systems （SCMGs） which include two types, with constant speed （CSCMG） or variable speed （VSCMG） rotors. Through angular ...This research is focused on the singularity analysis for single-gimbal control moment gyros systems （SCMGs） which include two types, with constant speed （CSCMG） or variable speed （VSCMG） rotors. Through angular momentum hypersurfaces of singular states, the passable and impassable singular points are discriminated easily, meanwhile the information about how much the angular momentum workspace as well as the steering capability available is provided directly. It is obvious that the null motions of steering laws are more effective for the five pyramid configuration（FPC） than for the pyramid configuration（PC） from the singular plots. The possible degenerate hyperbolic singular points of the preceding configurations are calculated and the distinctness of them is denoted by the Gaussian curvature. Furthermore, failure problems to steer integrated power and attitude control system （IPACS） are also analyzed. A sufficient condition of choosing configurations of VSCMGs to guarantee the IPACS steering is given. The angular momentum envelops of VSCMGs, in a given energy and a limited range of rotor speeds, are plotted. The connection and distinctness between CSCMGs and VSCMGs are obtained from the point of view of envelops.展开更多
The nonlinear biased ship rolling motion and capsizing in randoro waves are studied by utilizing a global geometric method. Thompson＇ s α-parameterized family of restoring functions is adopted in the vessel equation...The nonlinear biased ship rolling motion and capsizing in randoro waves are studied by utilizing a global geometric method. Thompson＇ s α-parameterized family of restoring functions is adopted in the vessel equation of motion for the representation of bias. To take into account the presence of randomness in the excitation and the response, a stochastic Melnikov method is developed and a mean-square criterion is obtained to provide an upper bound on the domain of the potential chaotic rolling motion. This criterion can be used to predict the qualitative nature of the invariant manifolds which represent the boundary botween safe and unsafe initial conditions, and how these depend on system parameters of the specific ship model. Phase space transport theory and lobe dynamics are used to demonstrate how motions starting from initial conditions inside the regions bounded by the intersected manifolds will evolve and how unexpected capsizing can occur.展开更多
Three optimal linear attitude estimators are proposed for single-point real-time estimation of spacecraft attitude using a geometric approach. The final optimal attitude is represented by modified Rodrigues parameters...Three optimal linear attitude estimators are proposed for single-point real-time estimation of spacecraft attitude using a geometric approach. The final optimal attitude is represented by modified Rodrigues parameters （MRPs）. After introducing incidental right-hand orthogonal coordinates for each pair of measured values, three error vectors are obtained by the use of dot or/and cross products. Corresponding optimality criteria are rigorously quadratic and unconstrained, which do not coincide with Wahba＇s constrained criterion. The singularity, which occurs when the principal angle is close to n, can be easily avoided by one proper rotation. Numerical simulations show that the proposed three optimal linear estimators can provide a precision comparable with those complying with the Wahba optimality definition, and have faster computational speed than the famous quatemion estimator （QUEST）.展开更多
Elegans are one of the best model organisms in neural researches, and tropism movement is a typical learning and memorizing activity. Based on one imaging technique called Fast Track-Capturing Microscope (FTCM), we in...Elegans are one of the best model organisms in neural researches, and tropism movement is a typical learning and memorizing activity. Based on one imaging technique called Fast Track-Capturing Microscope (FTCM), we investigated the movement regulation. Two movement patterns are extracted from various trajectories through analysis on turning angle. Then we applied this classification on trajectory regulation on the compound gradient field, and theoretical results corresponded with experiments well, which can initially verify the conclusion. Our breakthrough is performed computational geometric analysis on trajectories. Several independent features were combined to describe movement properties by principal composition analysis (PCA) and support vector machine (SVM). After normalizing all data sets, no-supervising machine learning was processed along with some training under certain supervision. The final classification results performed perfectly, which indicates the further application of such computational analysis in biology researches combining with machine learning.展开更多
Worm grinding has been applied to manufacture gears to pursue high accuracy and fine surface finish.When the worm used to grind face gears is manufactured with multi-axis computer numerical control(CNC)machining,the m...Worm grinding has been applied to manufacture gears to pursue high accuracy and fine surface finish.When the worm used to grind face gears is manufactured with multi-axis computer numerical control(CNC)machining,the machining accuracy is usually improved by increasing the number of tool paths with more time cost.Differently,this work proposes a generated method to improve the efficiency by dressing the worm surface with only one path,and a closed-loop manufacturing process is applied to ensure the machining accuracy.According to an advanced geometric analysis,the worm surface is practically approximated as a swept surface generated by a planar curve.Meanwhile,this curve is applied as the profile of a dressing wheel,which is used to dress the worm surface.The practical machining is carried out in a CNC machine tool,which was originally used to grind helical gears.Finally,a closed-loop manufacturing process including machining,measurement,and modification is proposed to compensate the machining errors.The proposed method is validated with simulations and practical experiments.展开更多
A geometrical analysis based algorithm is proposed to achieve the stereo matching of a single-lens prism based stereovision system. By setting the multi- face prism in frontal position of the static CCD （CM-140MCL） ...A geometrical analysis based algorithm is proposed to achieve the stereo matching of a single-lens prism based stereovision system. By setting the multi- face prism in frontal position of the static CCD （CM-140MCL） camera, equivalent stereo images with different orientations are captured synchronously by virtual cameras which are defined by two boundary lines： the optical axis and CCD camera field of view boundary. Subsequently, the geometrical relationship between the 2D stereo images and corresponding 3D scene is established by employing two fundamentals： ray sketching in which all the pertinent points, lines, and planes are expressed in the 3D camera coordinates and the rule of refraction. Landing on this relationship, the epipolar geometry is thus obtained by fitting a set of corresponding candidate points and thereafter, stereo matching of the prism based stereovision system is obtained. Moreover, the unique geometrical properties of the imaging system allow the proposed method free from the complicated camera calibration procedures and to be easily generalized from binocular and tri-oeular to multi-ocular stereovision systems. The performance of the algorithm is presented through the experiments on the binocular imaging system and the comparison with a conventional projection method demonstrates the efficient assessment of our novel contributions.展开更多
Uniaxial tension tests were conducted on single-edge-notched tensile specimens of pure molybdenum with a mesh grid pattern in front of the notch. A series of images of crack initialization and propagation with a disto...Uniaxial tension tests were conducted on single-edge-notched tensile specimens of pure molybdenum with a mesh grid pattern in front of the notch. A series of images of crack initialization and propagation with a distorted mesh grid pattern were obtained by means of in situ scanning electron microscopy. Strain fields around the crack tip were mapped successively using geometric phase analysis and digital image correlation techniques, and then compared with the predictions obtained through linear elastic fracture mechanics （LEFM）. The comparison shows that the measured strain distribution ahead of the crack tip is consistent with the LEFM predictions of up to 25 μm from the crack tip.展开更多
An analytic massive total cross section of photon proton scattering is derived, which has geometric scaling. A geometric scaling is used to perform a global analysis of the deep inelastic scattering data on inclusive ...An analytic massive total cross section of photon proton scattering is derived, which has geometric scaling. A geometric scaling is used to perform a global analysis of the deep inelastic scattering data on inclusive structure function F2 measured in lepton-hadron scattering experiments at small values of Bjorken x. It is shown that the descriptions of the inclusive structure function F2 and longitudinal structure function FL are improved with the massive analytic structure function, which may imply the gluon saturation effect dominating the parton evolution process at HERA. The inclusion of the heavy quarks prevent the divergence of the lepton-hadron cross section, which plays a significant role in the description of the photoproduction region.展开更多
The co-rotational finite element formulation is an attractive technique extending the capabilities of an existing high performing linear element to geometrically nonlinear analysis.This paper presents a modified co-ro...The co-rotational finite element formulation is an attractive technique extending the capabilities of an existing high performing linear element to geometrically nonlinear analysis.This paper presents a modified co-rotational framework,unified for beam,shell,and brick elements.A unified zero-spin criterion is proposed to specify the local element frame,whose origin is always located at the centroid.Utilizing this criterion,a spin matrix is introduced,and the local frame is invariant to the element nodal ordering.Additionally,the projector matrix is redefined in a more intuitive way,which is the derivative of local co-rotational element frame with respect to the global one.Furthermore,the nodal rotation is obtained with pseudo vector and instantaneous rotation,under a high-order accurate transformation.The resulting formulations are achieved in unified expression and thus a series of linear elements can be embedded into the framework.Several examples are presented to demonstrate the efficiency and accuracy of the proposed framework for large displacement analysis.展开更多
The suitability of six higher order root solvers is examined for solving the nonlinear equilibrium equations in large deformation analysis of structures.The applied methods have a better convergence rate than the quad...The suitability of six higher order root solvers is examined for solving the nonlinear equilibrium equations in large deformation analysis of structures.The applied methods have a better convergence rate than the quadratic Newton-Raphson method.These six methods do not require higher order derivatives to achieve a higher convergence rate.Six algorithms are developed to use the higher order methods in place of the Newton-Raphson method to solve the nonlinear equilibrium equations in geometrically nonlinear analysis of structures.The higher order methods are applied to both continuum and discrete problems(spherical shell and dome truss).The computational cost and the sensitivity of the higher order solution methods and the Newton-Raphson method with respect to the load increment size are comparatively investigated.The numerical results reveal that the higher order methods require a lower number of iterations that the Newton-Raphson method to converge.It is also shown that these methods are less sensitive to the variation of the load increment size.As it is indicated in numerical results,the average residual reduces in a lower number of iterations by the application of the higher order methods in the nonlinear analysis of structures.展开更多
Precisely quantifying the strength of the proximal femur and accurately assessing hip fracture risk would enable those at high risk to be identified so that preventive interventions could be taken.Development of bette...Precisely quantifying the strength of the proximal femur and accurately assessing hip fracture risk would enable those at high risk to be identified so that preventive interventions could be taken.Development of better measures of femoral strength using the clinically展开更多
Three-dimensional(3D)braided composites have significant potential for use in engineering structural materials.However,conventional 3D braiding machines are insufficient for designing composites with complex geometrie...Three-dimensional(3D)braided composites have significant potential for use in engineering structural materials.However,conventional 3D braiding machines are insufficient for designing composites with complex geometries.This paper proposes a programmable design methodology for 3D rotary braiding machines using circle-cutting and combination strategies.By introducing varying numbers of incisions on the circle,a diverse range of horn gears can be designed.Different combinations of these cut-circles allow the horn gears to be assembled into various 3D rotary braiders.The parametric equation for the braider plate is derived,showing that a combination strategy involving two cut-circles is feasible for braider design,whereas integrating three cut-circles simultaneously is impossible for a single machine.The construction of an automatic 6-3 type 3D braiding machine demonstrates the effectiveness of the proposed design strategy.This flexible braider design approach provides a practical solution for producing 3D braided composites with complex geometries.展开更多
A bidirectional deployable parabolic cylindrical reflector for an L-band synthetic aperture radar is presented in this study, in which a self-deployed antenna with low weight was designed. The antenna consists of four...A bidirectional deployable parabolic cylindrical reflector for an L-band synthetic aperture radar is presented in this study, in which a self-deployed antenna with low weight was designed. The antenna consists of four curved surfaces formed from thin sheets of composite materials connected by hinges along the edges, and the reflective surface is provided by the front surface. The edge profiles of connecting lines were obtained through geometric analysis. A scaled model, including design and manufac- ture, was demonstrated to validate the process from the folded state to the fully deployed state. The non-contact synchronous vision measuring method was used to test the basic frequency of the scaled model, and the test results gave the verification of the analyses. Compared with the existing unidirectional deployable antenna, this new type of bidirectional deployable antenna can be applied to larger-size antennas and has better performance because the glass-woven tape connections were substituted with more reliable hinges. Static, modal, harmonic response, and transient response analyses of the full-sized reflector structure were mod- eled with the commercial finite element （FE） package ABAQUS. The modeling techniques were developed to predict the struc- tural dynamic behavior of the reflector and the results showed that the first natural frequency was 0.865 Hz, and the reflector structure had good stiffness in three directions. This proposed structure has very high stiffness-to-mass ratio because of its hollow solid construction. A preliminary simulation of radiation properties of the parabolic cylindrical antenna, fed by an off-set linear feed horn array, was conducted to obtain the radiation pattern of the feed and the reflector.展开更多
This paper proves Riemann conjecture (RH), <em>i.e</em>., that all the zeros in critical region of Riemann <span style="white-space:nowrap;"><em><span style="white-space:nowra...This paper proves Riemann conjecture (RH), <em>i.e</em>., that all the zeros in critical region of Riemann <span style="white-space:nowrap;"><em><span style="white-space:nowrap;"><em>ξ</em><span style="white-space:normal;"> </span></span></em></span>-function lie on symmetric line <span style="white-space:nowrap;"><em>σ</em></span> =1/2 . Its proof is based on two important properties: the symmetry and alternative oscillation for <span style="white-space:nowrap;"><em><em>ξ</em><span style="white-space:normal;"> </span></em>=<em> u </em>+<em> iv</em></span> . Denote <img src="Edit_317839cd-bad0-44d8-b081-c473bcb336f1.png" width="170" height="15" alt="" />. Riemann proved that u is real and <em>v</em> <span style="white-space:nowrap;">≡ </span>0 for <span style="white-space:nowrap;"><em><span style="white-space:nowrap;">β</span></em> =0</span> (the symmetry). We prove that the zeros of u and v for <em>β</em> <span style="white-space:nowrap;">> 0</span> are alternative, so <span style="white-space:nowrap;"><em>u</em> (<em>t</em>,0)</span> is the single peak. A geometric model was proposed. <img src="Edit_27688061-de42-4bce-ad80-6fb3dd1e3d4b.png" width="85" height="27" alt="" /> is called the root-interval of <em>u </em>(<em>t</em>,<em style="white-space:normal;">β</em>) , if |<span style="white-space:nowrap;"><em>u</em>| <em>> </em>0</span> is inside <em>I</em><sub><em>j</em> </sub>and <span style="white-space:nowrap;"><em>u</em> = 0</span> is at its two ends. If |<em>u</em> (<em style="white-space:normal;">t</em><span style="white-space:normal;">,</span><em style="white-space:normal;">β</em>)| has only one peak on each <em style="white-space:normal;">I</em><sub style="white-space:normal;"><em>j</em></sub>, which is called the single peak, else called multiple peaks (it will be proved that the multiple peaks do not exist). The important expressions of u and v for <em style="white-space:normal;">β</em><span style="white-space:normal;"> </span>> 0 were derived. By <img src="Edit_b6369c2e-6a6d-4e1a-8a75-00d743cecaf1.png" width="240" height="28" alt="" />, the peak <em style="white-space:normal;">u </em><span style="white-space:normal;">(</span><em style="white-space:normal;">t</em><span style="white-space:normal;">,</span><em style="white-space:normal;">β</em><span style="white-space:normal;">)</span> will develop toward its convex direction. Besides, <em style="white-space:normal;">u<sub>t</sub> </em><span style="white-space:normal;">(</span><em style="white-space:normal;">t</em><span style="white-space:normal;">,</span><em style="white-space:normal;">β</em><span style="white-space:normal;">)</span> has opposite signs at two ends <em>t</em> = <em>t<sub>j</sub></em><sub> </sub>, <em>t<sub>j+1</sub></em> of <em>I<sub>j </sub></em>, <img src="Edit_be3f0d63-1d24-4165-ac2c-141c9a47d1c8.png" width="145" height="28" alt="" /> also does, then there exists some inner point <span style="white-space:nowrap;"><em>t</em>′</span> such that <span style="white-space:nowrap;"><em>v</em><em></em> (<em>t′</em>,<em>β</em>) = 0</span>. Therefore {|<em>u</em>|,|<em>v</em>|/<em>β</em>} in <em>I<sub>j</sub></em><sub> </sub>form a peak-valley structure such that <img src="Edit_70bb530a-662f-464a-b3c8-4d5625fbf679.png" width="180" height="22" alt="" /> has positive lower bound independent of <em>t</em> <span style="white-space:nowrap;">∈ </span><em>I<sub>j</sub></em><sub> </sub>(<em>i.e</em>. RH holds in <em style="white-space:normal;">I<sub>j</sub></em><sub style="white-space:normal;"> </sub>). As <em style="white-space:normal;">u </em><span style="white-space:normal;">(</span><em style="white-space:normal;">t</em><span style="white-space:normal;">,</span><em style="white-space:normal;">β</em><span style="white-space:normal;">)</span> does not have the finite condensation point (unless <span style="white-space:nowrap;"><em>u</em> = <em>cons</em><em>t</em>.</span>), any finite t surely falls in some <em style="white-space:normal;">I<sub>j</sub></em><sub style="white-space:normal;"> </sub>, then <img src="Edit_166a9981-aac8-476b-a29a-496763297b35.png" width="50" height="23" alt="" /> holds for any t (RH is proved). Our previous paper “Local geometric proof of Riemann conjecture” (APM, V.10:8, 2020) has two defects, this paper has amended these defects and given a complete proof of RH.展开更多
The nonlinear finite element method is used to analyze the geometrical nonlinear stability of cable truss domes with different cable distributions. The results indicate that the critical load increases evidently when...The nonlinear finite element method is used to analyze the geometrical nonlinear stability of cable truss domes with different cable distributions. The results indicate that the critical load increases evidently when cables, especially diagonal cables, are distributed in the structure. The critical loads of the structure at different rise span ratios are also discussed in this paper. It was shown that the effect of the tensional cable is more evident at small rise span ratio. The buckling of the structure is characterized by a global collapse at small rise span ratio; that the torsional buckling of the radial truss occurs at big rise span ratio; and that at proper rise span ratio, the global collapse and the lateral buckling of the truss occur nearly simultaneously.展开更多
By considering the effect of interfacial damage and using the variation principle, three-dimensional nonlinear dynamic governing equations of the laminated plates with interfacial damage are derived based on the gener...By considering the effect of interfacial damage and using the variation principle, three-dimensional nonlinear dynamic governing equations of the laminated plates with interfacial damage are derived based on the general sixdegrees-of-freedom plate theory towards the accurate stress analysis. The solutions of interlaminar stress and nonlinear dynamic response for a simply supported laminated plate with interfacial damage are obtained by using the finite difference method, and the results are validated by comparison with the solution of nonlinear finite element method. In numerical calculations, the effects of interfacial damage on the stress in the interface and the nonlinear dynamic response of laminated plates are discussed.展开更多
The Arlequin framework proposed by Ben Dhia in 1998 is a flexible and robust method for conducting global/local analysis of structures and materials.A penalty version of the Arlequin framework for the study of structu...The Arlequin framework proposed by Ben Dhia in 1998 is a flexible and robust method for conducting global/local analysis of structures and materials.A penalty version of the Arlequin framework for the study of structural problems involving large deformation is considered here.The implementation of the penalty-based Arlequin framework into ABAQUS is then explored and the corresponding Arlequin user element subroutine is developed.Geometric nonlinear simulations of a cantilever beam and a shallow arch are conducted and the choice of the coupling operator with an appropriate penalty parameter is studied.The numerical results justify the feasibility of the proposed method,ensuring its further application to more complicated problems involving geometric or material nonlinearities.展开更多
This research aims a numerical and geometrical investigation about an Overtopping Device Wave Energy Con‑verter(OTD‑WEC).Constructal Design method was employed to perform a geometric evaluation of this OTD‑WEC submitt...This research aims a numerical and geometrical investigation about an Overtopping Device Wave Energy Con‑verter(OTD‑WEC).Constructal Design method was employed to perform a geometric evaluation of this OTD‑WEC submitted to ocean waves with similar characteristics of the coastal region of ParanáState–Pontal do Paranácity in southern Brazil,located 41 km from the coast and 30 m water deep.It was analyzed two different signiϐicant wave heights,H_(S1)=1.25 m and H_(S2)=1.50 m.In each set,it were simulated 10 cases with different ramp angles,totaling 20 numerical simulations.The main goal was to evaluate the inϐluence of the ramp angle on the water massϐlow rate entering the reservoir.Therefore,through the Construtal Design,the degree of freedom(DOF)H_(1)/L_(1)(ratio between the height and length of the ramp)was varied,considering a constant area of the ramp.For the numeri‑cal analysis,a two‑dimensional computational model was employed using the commercial software Ansys Fluent,which is based on the Finite Volume Method(FVM).The multiphase Volume of Fluid(VOF)model was applied to tackle with the water‑air interaction.The results showed that the best geometric conϐigurations happened for those cases with smaller ramp angles.In addition,a reconϐiguration of the ramp angles,keeping the areaϐixed,allowed a signiϐicant improvement in the OTD‑WEC available power.展开更多
Contraposing the need of the robust digital watermark for the copyright protection field, a new digital watermarking algorithm in the non-subsampled contourlet transform （NSCT） domain is proposed. The largest energy...Contraposing the need of the robust digital watermark for the copyright protection field, a new digital watermarking algorithm in the non-subsampled contourlet transform （NSCT） domain is proposed. The largest energy sub-band after NSCT is selected to embed watermark. The watermark is embedded into scaleinvariant feature transform （SIFT） regions. During embedding, the initial region is divided into some cirque sub-regions with the same area, and each watermark bit is embedded into one sub-region. Extensive simulation results and comparisons show that the algorithm gets a good trade-off of invisibility, robustness and capacity, thus obtaining good quality of the image while being able to effectively resist common image processing, and geometric and combo attacks, and normalized similarity is almost all reached.展开更多
Inorganic solid electrolytes have obvious advantages on safety and electrochemical stability compared to organic liquid electrolytes,but the advance on high ionic conductivity of typical electrolytes is still undergoi...Inorganic solid electrolytes have obvious advantages on safety and electrochemical stability compared to organic liquid electrolytes,but the advance on high ionic conductivity of typical electrolytes is still undergoing.Although the first-principles calculation in the ion migration simulation is an important strategy to develop high-performance solid electrolyte,the process is very time-consuming.Here,we propose an effective method by combining the geometrical analysis and bond valance sum calculation to obtain an approximate minimum energy path preliminarily,in parallel to pave the way for the interoperability of low-precision and high-precision ion transport calculation.Taking a promising electrolyte Li_(3)PS_(4) as an example,we revisit its Li-ionic transport behavior.Our calculated Li-ion pathways and the activation energies(the corresponding values:1.09 eV vs.0.88 eV vs.0.86 eV)in γ-,β- and α-Li_(3)PS_(4) are consistent with the ones obtained from the first-principles calculations.The variations of the position of P-ions lead the rearrangement of the host PS_(4) tetrahedron,affecting the diffusion positions of Li-ions and further enabling high Li^(+) conductivity in β-Li_(3)PS_(4).展开更多
文摘This research is focused on the singularity analysis for single-gimbal control moment gyros systems （SCMGs） which include two types, with constant speed （CSCMG） or variable speed （VSCMG） rotors. Through angular momentum hypersurfaces of singular states, the passable and impassable singular points are discriminated easily, meanwhile the information about how much the angular momentum workspace as well as the steering capability available is provided directly. It is obvious that the null motions of steering laws are more effective for the five pyramid configuration（FPC） than for the pyramid configuration（PC） from the singular plots. The possible degenerate hyperbolic singular points of the preceding configurations are calculated and the distinctness of them is denoted by the Gaussian curvature. Furthermore, failure problems to steer integrated power and attitude control system （IPACS） are also analyzed. A sufficient condition of choosing configurations of VSCMGs to guarantee the IPACS steering is given. The angular momentum envelops of VSCMGs, in a given energy and a limited range of rotor speeds, are plotted. The connection and distinctness between CSCMGs and VSCMGs are obtained from the point of view of envelops.
文摘The nonlinear biased ship rolling motion and capsizing in randoro waves are studied by utilizing a global geometric method. Thompson＇ s α-parameterized family of restoring functions is adopted in the vessel equation of motion for the representation of bias. To take into account the presence of randomness in the excitation and the response, a stochastic Melnikov method is developed and a mean-square criterion is obtained to provide an upper bound on the domain of the potential chaotic rolling motion. This criterion can be used to predict the qualitative nature of the invariant manifolds which represent the boundary botween safe and unsafe initial conditions, and how these depend on system parameters of the specific ship model. Phase space transport theory and lobe dynamics are used to demonstrate how motions starting from initial conditions inside the regions bounded by the intersected manifolds will evolve and how unexpected capsizing can occur.
文摘Three optimal linear attitude estimators are proposed for single-point real-time estimation of spacecraft attitude using a geometric approach. The final optimal attitude is represented by modified Rodrigues parameters （MRPs）. After introducing incidental right-hand orthogonal coordinates for each pair of measured values, three error vectors are obtained by the use of dot or/and cross products. Corresponding optimality criteria are rigorously quadratic and unconstrained, which do not coincide with Wahba＇s constrained criterion. The singularity, which occurs when the principal angle is close to n, can be easily avoided by one proper rotation. Numerical simulations show that the proposed three optimal linear estimators can provide a precision comparable with those complying with the Wahba optimality definition, and have faster computational speed than the famous quatemion estimator （QUEST）.
文摘Elegans are one of the best model organisms in neural researches, and tropism movement is a typical learning and memorizing activity. Based on one imaging technique called Fast Track-Capturing Microscope (FTCM), we investigated the movement regulation. Two movement patterns are extracted from various trajectories through analysis on turning angle. Then we applied this classification on trajectory regulation on the compound gradient field, and theoretical results corresponded with experiments well, which can initially verify the conclusion. Our breakthrough is performed computational geometric analysis on trajectories. Several independent features were combined to describe movement properties by principal composition analysis (PCA) and support vector machine (SVM). After normalizing all data sets, no-supervising machine learning was processed along with some training under certain supervision. The final classification results performed perfectly, which indicates the further application of such computational analysis in biology researches combining with machine learning.
基金Project(2019 YFB 2004700)supported by the National Key R&D Project of ChinaProject(HTL-O-19 K 02)supported by National Key Laboratory of Science and Technology on Helicopter Transmission,Nanjing University of Aeronautics and Astronautics,China。
文摘Worm grinding has been applied to manufacture gears to pursue high accuracy and fine surface finish.When the worm used to grind face gears is manufactured with multi-axis computer numerical control(CNC)machining,the machining accuracy is usually improved by increasing the number of tool paths with more time cost.Differently,this work proposes a generated method to improve the efficiency by dressing the worm surface with only one path,and a closed-loop manufacturing process is applied to ensure the machining accuracy.According to an advanced geometric analysis,the worm surface is practically approximated as a swept surface generated by a planar curve.Meanwhile,this curve is applied as the profile of a dressing wheel,which is used to dress the worm surface.The practical machining is carried out in a CNC machine tool,which was originally used to grind helical gears.Finally,a closed-loop manufacturing process including machining,measurement,and modification is proposed to compensate the machining errors.The proposed method is validated with simulations and practical experiments.
基金supported by the Ministry of Education of Singapore under Grant No.R265-000-277-112
文摘A geometrical analysis based algorithm is proposed to achieve the stereo matching of a single-lens prism based stereovision system. By setting the multi- face prism in frontal position of the static CCD （CM-140MCL） camera, equivalent stereo images with different orientations are captured synchronously by virtual cameras which are defined by two boundary lines： the optical axis and CCD camera field of view boundary. Subsequently, the geometrical relationship between the 2D stereo images and corresponding 3D scene is established by employing two fundamentals： ray sketching in which all the pertinent points, lines, and planes are expressed in the 3D camera coordinates and the rule of refraction. Landing on this relationship, the epipolar geometry is thus obtained by fitting a set of corresponding candidate points and thereafter, stereo matching of the prism based stereovision system is obtained. Moreover, the unique geometrical properties of the imaging system allow the proposed method free from the complicated camera calibration procedures and to be easily generalized from binocular and tri-oeular to multi-ocular stereovision systems. The performance of the algorithm is presented through the experiments on the binocular imaging system and the comparison with a conventional projection method demonstrates the efficient assessment of our novel contributions.
基金supported by the National Natural Science Foundation of China (Grant Nos. 11562016 and 11672175)
文摘Uniaxial tension tests were conducted on single-edge-notched tensile specimens of pure molybdenum with a mesh grid pattern in front of the notch. A series of images of crack initialization and propagation with a distorted mesh grid pattern were obtained by means of in situ scanning electron microscopy. Strain fields around the crack tip were mapped successively using geometric phase analysis and digital image correlation techniques, and then compared with the predictions obtained through linear elastic fracture mechanics （LEFM）. The comparison shows that the measured strain distribution ahead of the crack tip is consistent with the LEFM predictions of up to 25 μm from the crack tip.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11305040,11375071 and 11447203the Education Department of Guizhou Province Innovation Talent Fund under Grant No[2015]5508+2 种基金the Education Department of Guizhou Province Innovation Team Fund under Grant No[2014]35the Guizhou Province Science Technology Foundation under Grant No[2015]2114the Guizhou Province Innovation Talent Team Fund under Grant No[2015]4015
文摘An analytic massive total cross section of photon proton scattering is derived, which has geometric scaling. A geometric scaling is used to perform a global analysis of the deep inelastic scattering data on inclusive structure function F2 measured in lepton-hadron scattering experiments at small values of Bjorken x. It is shown that the descriptions of the inclusive structure function F2 and longitudinal structure function FL are improved with the massive analytic structure function, which may imply the gluon saturation effect dominating the parton evolution process at HERA. The inclusion of the heavy quarks prevent the divergence of the lepton-hadron cross section, which plays a significant role in the description of the photoproduction region.
基金the National Natural Science Foundation of China(Grant Nos.11972297 and 11972300)the Fundamental Research Funds for the Central Universities of China(Grant No.G2019KY05203).
文摘The co-rotational finite element formulation is an attractive technique extending the capabilities of an existing high performing linear element to geometrically nonlinear analysis.This paper presents a modified co-rotational framework,unified for beam,shell,and brick elements.A unified zero-spin criterion is proposed to specify the local element frame,whose origin is always located at the centroid.Utilizing this criterion,a spin matrix is introduced,and the local frame is invariant to the element nodal ordering.Additionally,the projector matrix is redefined in a more intuitive way,which is the derivative of local co-rotational element frame with respect to the global one.Furthermore,the nodal rotation is obtained with pseudo vector and instantaneous rotation,under a high-order accurate transformation.The resulting formulations are achieved in unified expression and thus a series of linear elements can be embedded into the framework.Several examples are presented to demonstrate the efficiency and accuracy of the proposed framework for large displacement analysis.
文摘The suitability of six higher order root solvers is examined for solving the nonlinear equilibrium equations in large deformation analysis of structures.The applied methods have a better convergence rate than the quadratic Newton-Raphson method.These six methods do not require higher order derivatives to achieve a higher convergence rate.Six algorithms are developed to use the higher order methods in place of the Newton-Raphson method to solve the nonlinear equilibrium equations in geometrically nonlinear analysis of structures.The higher order methods are applied to both continuum and discrete problems(spherical shell and dome truss).The computational cost and the sensitivity of the higher order solution methods and the Newton-Raphson method with respect to the load increment size are comparatively investigated.The numerical results reveal that the higher order methods require a lower number of iterations that the Newton-Raphson method to converge.It is also shown that these methods are less sensitive to the variation of the load increment size.As it is indicated in numerical results,the average residual reduces in a lower number of iterations by the application of the higher order methods in the nonlinear analysis of structures.
基金supported by The HongKong Polytechnic University Research Grants(No.1-BB81)grants from National Natural Science Foundation of China,Nos.10872078 and 10832012
文摘Precisely quantifying the strength of the proximal femur and accurately assessing hip fracture risk would enable those at high risk to be identified so that preventive interventions could be taken.Development of better measures of femoral strength using the clinically
基金funded by the Shanghai Natural Science Foundation of Shanghai Municipal Science and Technology Commission(20ZR1400600)the Fundamental Research Funds for the Central Universities(2232023G-06)through collaborative research with the Advanced Fibrous Materials Lab(AFML)at the University of British Columbia.
文摘Three-dimensional(3D)braided composites have significant potential for use in engineering structural materials.However,conventional 3D braiding machines are insufficient for designing composites with complex geometries.This paper proposes a programmable design methodology for 3D rotary braiding machines using circle-cutting and combination strategies.By introducing varying numbers of incisions on the circle,a diverse range of horn gears can be designed.Different combinations of these cut-circles allow the horn gears to be assembled into various 3D rotary braiders.The parametric equation for the braider plate is derived,showing that a combination strategy involving two cut-circles is feasible for braider design,whereas integrating three cut-circles simultaneously is impossible for a single machine.The construction of an automatic 6-3 type 3D braiding machine demonstrates the effectiveness of the proposed design strategy.This flexible braider design approach provides a practical solution for producing 3D braided composites with complex geometries.
文摘A bidirectional deployable parabolic cylindrical reflector for an L-band synthetic aperture radar is presented in this study, in which a self-deployed antenna with low weight was designed. The antenna consists of four curved surfaces formed from thin sheets of composite materials connected by hinges along the edges, and the reflective surface is provided by the front surface. The edge profiles of connecting lines were obtained through geometric analysis. A scaled model, including design and manufac- ture, was demonstrated to validate the process from the folded state to the fully deployed state. The non-contact synchronous vision measuring method was used to test the basic frequency of the scaled model, and the test results gave the verification of the analyses. Compared with the existing unidirectional deployable antenna, this new type of bidirectional deployable antenna can be applied to larger-size antennas and has better performance because the glass-woven tape connections were substituted with more reliable hinges. Static, modal, harmonic response, and transient response analyses of the full-sized reflector structure were mod- eled with the commercial finite element （FE） package ABAQUS. The modeling techniques were developed to predict the struc- tural dynamic behavior of the reflector and the results showed that the first natural frequency was 0.865 Hz, and the reflector structure had good stiffness in three directions. This proposed structure has very high stiffness-to-mass ratio because of its hollow solid construction. A preliminary simulation of radiation properties of the parabolic cylindrical antenna, fed by an off-set linear feed horn array, was conducted to obtain the radiation pattern of the feed and the reflector.
文摘This paper proves Riemann conjecture (RH), <em>i.e</em>., that all the zeros in critical region of Riemann <span style="white-space:nowrap;"><em><span style="white-space:nowrap;"><em>ξ</em><span style="white-space:normal;"> </span></span></em></span>-function lie on symmetric line <span style="white-space:nowrap;"><em>σ</em></span> =1/2 . Its proof is based on two important properties: the symmetry and alternative oscillation for <span style="white-space:nowrap;"><em><em>ξ</em><span style="white-space:normal;"> </span></em>=<em> u </em>+<em> iv</em></span> . Denote <img src="Edit_317839cd-bad0-44d8-b081-c473bcb336f1.png" width="170" height="15" alt="" />. Riemann proved that u is real and <em>v</em> <span style="white-space:nowrap;">≡ </span>0 for <span style="white-space:nowrap;"><em><span style="white-space:nowrap;">β</span></em> =0</span> (the symmetry). We prove that the zeros of u and v for <em>β</em> <span style="white-space:nowrap;">> 0</span> are alternative, so <span style="white-space:nowrap;"><em>u</em> (<em>t</em>,0)</span> is the single peak. A geometric model was proposed. <img src="Edit_27688061-de42-4bce-ad80-6fb3dd1e3d4b.png" width="85" height="27" alt="" /> is called the root-interval of <em>u </em>(<em>t</em>,<em style="white-space:normal;">β</em>) , if |<span style="white-space:nowrap;"><em>u</em>| <em>> </em>0</span> is inside <em>I</em><sub><em>j</em> </sub>and <span style="white-space:nowrap;"><em>u</em> = 0</span> is at its two ends. If |<em>u</em> (<em style="white-space:normal;">t</em><span style="white-space:normal;">,</span><em style="white-space:normal;">β</em>)| has only one peak on each <em style="white-space:normal;">I</em><sub style="white-space:normal;"><em>j</em></sub>, which is called the single peak, else called multiple peaks (it will be proved that the multiple peaks do not exist). The important expressions of u and v for <em style="white-space:normal;">β</em><span style="white-space:normal;"> </span>> 0 were derived. By <img src="Edit_b6369c2e-6a6d-4e1a-8a75-00d743cecaf1.png" width="240" height="28" alt="" />, the peak <em style="white-space:normal;">u </em><span style="white-space:normal;">(</span><em style="white-space:normal;">t</em><span style="white-space:normal;">,</span><em style="white-space:normal;">β</em><span style="white-space:normal;">)</span> will develop toward its convex direction. Besides, <em style="white-space:normal;">u<sub>t</sub> </em><span style="white-space:normal;">(</span><em style="white-space:normal;">t</em><span style="white-space:normal;">,</span><em style="white-space:normal;">β</em><span style="white-space:normal;">)</span> has opposite signs at two ends <em>t</em> = <em>t<sub>j</sub></em><sub> </sub>, <em>t<sub>j+1</sub></em> of <em>I<sub>j </sub></em>, <img src="Edit_be3f0d63-1d24-4165-ac2c-141c9a47d1c8.png" width="145" height="28" alt="" /> also does, then there exists some inner point <span style="white-space:nowrap;"><em>t</em>′</span> such that <span style="white-space:nowrap;"><em>v</em><em></em> (<em>t′</em>,<em>β</em>) = 0</span>. Therefore {|<em>u</em>|,|<em>v</em>|/<em>β</em>} in <em>I<sub>j</sub></em><sub> </sub>form a peak-valley structure such that <img src="Edit_70bb530a-662f-464a-b3c8-4d5625fbf679.png" width="180" height="22" alt="" /> has positive lower bound independent of <em>t</em> <span style="white-space:nowrap;">∈ </span><em>I<sub>j</sub></em><sub> </sub>(<em>i.e</em>. RH holds in <em style="white-space:normal;">I<sub>j</sub></em><sub style="white-space:normal;"> </sub>). As <em style="white-space:normal;">u </em><span style="white-space:normal;">(</span><em style="white-space:normal;">t</em><span style="white-space:normal;">,</span><em style="white-space:normal;">β</em><span style="white-space:normal;">)</span> does not have the finite condensation point (unless <span style="white-space:nowrap;"><em>u</em> = <em>cons</em><em>t</em>.</span>), any finite t surely falls in some <em style="white-space:normal;">I<sub>j</sub></em><sub style="white-space:normal;"> </sub>, then <img src="Edit_166a9981-aac8-476b-a29a-496763297b35.png" width="50" height="23" alt="" /> holds for any t (RH is proved). Our previous paper “Local geometric proof of Riemann conjecture” (APM, V.10:8, 2020) has two defects, this paper has amended these defects and given a complete proof of RH.
文摘The nonlinear finite element method is used to analyze the geometrical nonlinear stability of cable truss domes with different cable distributions. The results indicate that the critical load increases evidently when cables, especially diagonal cables, are distributed in the structure. The critical loads of the structure at different rise span ratios are also discussed in this paper. It was shown that the effect of the tensional cable is more evident at small rise span ratio. The buckling of the structure is characterized by a global collapse at small rise span ratio; that the torsional buckling of the radial truss occurs at big rise span ratio; and that at proper rise span ratio, the global collapse and the lateral buckling of the truss occur nearly simultaneously.
基金the National Natural Science Foundation of China (10572049)Hunan Provincial Natural Science Foundation of China (07JJ3009)National 985 Special Foundation of China
文摘By considering the effect of interfacial damage and using the variation principle, three-dimensional nonlinear dynamic governing equations of the laminated plates with interfacial damage are derived based on the general sixdegrees-of-freedom plate theory towards the accurate stress analysis. The solutions of interlaminar stress and nonlinear dynamic response for a simply supported laminated plate with interfacial damage are obtained by using the finite difference method, and the results are validated by comparison with the solution of nonlinear finite element method. In numerical calculations, the effects of interfacial damage on the stress in the interface and the nonlinear dynamic response of laminated plates are discussed.
基金Project supported by the National Natural Science Foundation of China (No. 10725210)the National Basic Research Program (973) of China (No. 2009CB623200)
文摘The Arlequin framework proposed by Ben Dhia in 1998 is a flexible and robust method for conducting global/local analysis of structures and materials.A penalty version of the Arlequin framework for the study of structural problems involving large deformation is considered here.The implementation of the penalty-based Arlequin framework into ABAQUS is then explored and the corresponding Arlequin user element subroutine is developed.Geometric nonlinear simulations of a cantilever beam and a shallow arch are conducted and the choice of the coupling operator with an appropriate penalty parameter is studied.The numerical results justify the feasibility of the proposed method,ensuring its further application to more complicated problems involving geometric or material nonlinearities.
基金funded by Brazilian Coor‑dination for the Improvement of Higher Education Personnel-CAPES(Finance Code 001)Research Sup‑port Foundation of the State of Rio Grande do Sul-FAPERGS(Public Call FAPERGS 07/2021-Programa Pesquisador Gaúcho-PqG)Ministry of Science,Technology,Innovation and Communications(Public Call MCTIC/CNPq Nº28/2018-Universal and Public Call MCTIC/CNPq Nº10/2023-Universal).
文摘This research aims a numerical and geometrical investigation about an Overtopping Device Wave Energy Con‑verter(OTD‑WEC).Constructal Design method was employed to perform a geometric evaluation of this OTD‑WEC submitted to ocean waves with similar characteristics of the coastal region of ParanáState–Pontal do Paranácity in southern Brazil,located 41 km from the coast and 30 m water deep.It was analyzed two different signiϐicant wave heights,H_(S1)=1.25 m and H_(S2)=1.50 m.In each set,it were simulated 10 cases with different ramp angles,totaling 20 numerical simulations.The main goal was to evaluate the inϐluence of the ramp angle on the water massϐlow rate entering the reservoir.Therefore,through the Construtal Design,the degree of freedom(DOF)H_(1)/L_(1)(ratio between the height and length of the ramp)was varied,considering a constant area of the ramp.For the numeri‑cal analysis,a two‑dimensional computational model was employed using the commercial software Ansys Fluent,which is based on the Finite Volume Method(FVM).The multiphase Volume of Fluid(VOF)model was applied to tackle with the water‑air interaction.The results showed that the best geometric conϐigurations happened for those cases with smaller ramp angles.In addition,a reconϐiguration of the ramp angles,keeping the areaϐixed,allowed a signiϐicant improvement in the OTD‑WEC available power.
基金supported by the National Natural Science Foundation of China(61379010)the Natural Science Basic Research Plan in Shaanxi Province of China(2015JM6293)
文摘Contraposing the need of the robust digital watermark for the copyright protection field, a new digital watermarking algorithm in the non-subsampled contourlet transform （NSCT） domain is proposed. The largest energy sub-band after NSCT is selected to embed watermark. The watermark is embedded into scaleinvariant feature transform （SIFT） regions. During embedding, the initial region is divided into some cirque sub-regions with the same area, and each watermark bit is embedded into one sub-region. Extensive simulation results and comparisons show that the algorithm gets a good trade-off of invisibility, robustness and capacity, thus obtaining good quality of the image while being able to effectively resist common image processing, and geometric and combo attacks, and normalized similarity is almost all reached.
基金supported by the National Key Research and Development Program of China(Nos.2017YFB0701600)the National Natural Science Foundation of China(51622207,U1630134).
文摘Inorganic solid electrolytes have obvious advantages on safety and electrochemical stability compared to organic liquid electrolytes,but the advance on high ionic conductivity of typical electrolytes is still undergoing.Although the first-principles calculation in the ion migration simulation is an important strategy to develop high-performance solid electrolyte,the process is very time-consuming.Here,we propose an effective method by combining the geometrical analysis and bond valance sum calculation to obtain an approximate minimum energy path preliminarily,in parallel to pave the way for the interoperability of low-precision and high-precision ion transport calculation.Taking a promising electrolyte Li_(3)PS_(4) as an example,we revisit its Li-ionic transport behavior.Our calculated Li-ion pathways and the activation energies(the corresponding values:1.09 eV vs.0.88 eV vs.0.86 eV)in γ-,β- and α-Li_(3)PS_(4) are consistent with the ones obtained from the first-principles calculations.The variations of the position of P-ions lead the rearrangement of the host PS_(4) tetrahedron,affecting the diffusion positions of Li-ions and further enabling high Li^(+) conductivity in β-Li_(3)PS_(4).
