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Coupling Magneto-Electro-Elastic Multiscale Finite Element Method for Transient Responses of Heterogeneous MEE Structures
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作者 Xiaolin Li Xinyue Li +2 位作者 Liming Zhou Hangran Yang Xiaoqing Yuan 《Computers, Materials & Continua》 2025年第3期3821-3841,共21页
Magneto-electro-elastic(MEE)materials are widely utilized across various fields due to their multi-field coupling effects.Consequently,investigating the coupling behavior of MEE composite materials is of significant i... Magneto-electro-elastic(MEE)materials are widely utilized across various fields due to their multi-field coupling effects.Consequently,investigating the coupling behavior of MEE composite materials is of significant importance.The traditional finite element method(FEM)remains one of the primary approaches for addressing such issues.However,the application of FEM typically necessitates the use of a fine finite element mesh to accurately capture the heterogeneous properties of the materials and meet the required computational precision,which inevitably leads to a reduction in computational efficiency.To enhance the computational accuracy and efficiency of the FEM for heterogeneous multi-field coupling problems,this study presents the coupling magneto-electro-elastic multiscale finite element method(CM-MsFEM)for heterogeneous MEE structures.Unlike the conventional multiscale FEM(MsFEM),the proposed algorithm simultaneously constructs displacement,electric,and magnetic potential multiscale basis functions to address the heterogeneity of the corresponding parameters.The macroscale formulation of CM-MsFEM was derived,and the macroscale/microscale responses of the problems were obtained through up/downscaling calculations.Evaluation using numerical examples analyzing the transient behavior of heterogeneous MEE structures demonstrated that the proposed method outperforms traditional FEM in terms of both accuracy and computational efficiency,making it an appropriate choice for numerically modeling the dynamics of heterogeneous MEE structures. 展开更多
关键词 Multiscale finite element method heterogeneous materials transient responses MAGNETO-ELECTRO-ELASTIC multiscale basis function
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Influence of porosity distribution on nonlinear free vibration and transient responses of porous functionally graded skew plates 被引量:5
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作者 Naveen Kumar H S Subhaschandra Kattimani TNguyen-Thoi 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第6期1918-1935,共18页
This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew(PFGS)plates.The effective material properties of... This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew(PFGS)plates.The effective material properties of the PFGS plates are obtained from the modified power-law equations in which gradation varies through the thickness of the PFGS plate.A nonlinear finite element(FE)formulation for the overall PFGS plate is derived by adopting first-order shear deformation theory(FSDT)in conjunction with von Karman’s nonlinear strain displacement relations.The governing equations of the PFGS plate are derived using the principle of virtual work.The direct iterative method and Newmark’s integration technique are espoused to solve nonlinear mathematical relations.The influences of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the PFGS plate for different skew angles are studied in various parameters.The effects of volume fraction grading index and skew angle on the plate’s nonlinear dynamic responses for various porosity distributions are illustrated in detail. 展开更多
关键词 Porous functionally graded skew plates Porosity distributions Nonlinear transient response Nonlinear frequency ratio Nonlinear frequency parameter
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Transient Responses of Flexible Non-uniform Spinning Shaft with Nonlinear and Asymmetric Supports
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作者 ZHU Huai liang Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200436, China 《Journal of Shanghai University(English Edition)》 CAS 2001年第1期35-39,共5页
In this paper, a hybrid approach was developed to investigate the transient responses of a multi span non uniform flexible spinning shaft with nonlinear and asymmetric supports. The non uniform spinning shaft with ... In this paper, a hybrid approach was developed to investigate the transient responses of a multi span non uniform flexible spinning shaft with nonlinear and asymmetric supports. The non uniform spinning shaft with variable parameters was modeled as a Bernoulli Euler beam column with sectional constant cross section properties by the finite element method. The supporting stiffness behavior of the nonlinear supports was described as a piecewise linear and asymmetric model. The equations of motion in the matrix form of a multi span non uniform spinning shaft with nonlinear and asymmetric supports were formulated using Hamilton's principle and the assumed mode method. As an example, a spinning rocket with many variable stiffness supports was numerically simulated by the direct integration method. The transient response and dynamic behavior of this rotate dynamic system are analyzed. 展开更多
关键词 spinning shaft nonlinear support asymmetric support dynamics transient response
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Nonlinear transient responses of rotating twisted FGM cylindrical panels 被引量:2
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作者 NIU Yan YAO MingHui ZHANG Wei 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2021年第2期317-330,共14页
This paper develops a new structure dynamic model to investigate nonlinear transient responses of the rotating blade made of functionally graded material(FGM). The rotating blade is simplified as a rotating FGM cylind... This paper develops a new structure dynamic model to investigate nonlinear transient responses of the rotating blade made of functionally graded material(FGM). The rotating blade is simplified as a rotating FGM cylindrical panel with a presetting angle and a twist angle. The geometric nonlinearity effects are taken into account in the strain-displacement relationships, which are derived by Green strain tensor. Based on the first-order piston theory and the first-order shear deformation theory, the equations of motion for the rotating twisted FGM cylindrical panel are acquired by means of Hamilton principle and Galerkin method.Backward Differentiation Formula(BDF) and Runge-Kutta Algorithm are used to solve the nonlinear equations of motion for the system. The effects of four pulse load conditions on the system subjected to the internal pulse load or the external pulse load are fully discussed. A detailed parametric analysis is performed by considering the effects of the rotating speed, volume fraction index and temperature. 展开更多
关键词 nonlinear transient responses functionally graded material rotating twisted blade cylindrical panel
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Analysis of transient responses in a laminated piezoelectric cylindrical shell 被引量:1
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作者 HAN Xu GONG Shuang +1 位作者 HE XiaoQiao JIANG Chao 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第1期143-149,共7页
A hybrid numerical method is proposed for analysis of transient responses in a multilayered piezoelectric cylindrical shell.In the present method,the associated equations of the displacement field and the electro-pote... A hybrid numerical method is proposed for analysis of transient responses in a multilayered piezoelectric cylindrical shell.In the present method,the associated equations of the displacement field and the electro-potential field are developed using an analytical-numerical method.The piezoelectric cylindrical shell is discretized into layered annular elements along the wall thickness direction.The governing equations are determined by Hamilton's Principle considering the coupling between the elastic and electric field in each element.The modal analysis and Fourier transformation with respect to the spatial cylindrical polar coordinates in the direction of wave propagation are introduced to formulate the displacement field and electro-potential field in the wave-number domain.The results of transient responses at any location can be obtained by performing an inverse Fourier transformation.The transient responses of an actual piezoelectric cylindrical shell excited by a coupled electro-mechanical circular line load are investigated as a numerical example.The computational results demonstrate the efficiency of the present method. 展开更多
关键词 transient response piezoelectric material cylindrical shell
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Transient impact responses of laminated composite cylindrical shells 被引量:1
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作者 Chunchuan Liu,Fengming Li,~(a)) and Wenhu Huang School of Astronautics,Harbin Institute of Technology,Harbin 150001,China 《Theoretical & Applied Mechanics Letters》 CAS 2011年第3期23-26,共4页
The generalized ray method(GRM) has been successfully used to study the transient elastic wave transmitting in the beams,planar trusses,space frames and infinite layered media.In this letter,the GRM is extended to inv... The generalized ray method(GRM) has been successfully used to study the transient elastic wave transmitting in the beams,planar trusses,space frames and infinite layered media.In this letter,the GRM is extended to investigate the early short time transient responses of laminated composite cylindrical shells under impact load.By using the Laplace transformation and referring to the boundary conditions,the ray groups transmitting in the finite laminated cylindrical shells under the shock load are obtained and the transient response related to each ray group can be derived via FFT algorithm.From the numerical results,it is shown that the early short time transient accelerations of the laminated composite cylindrical shell under impact loads are very large.But the short time transient shear strain and displacement are very small. 展开更多
关键词 laminated composite cylindrical shells impact load early short time transient response generalized ray method
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Numerical investigation of the transient process of a cover-plate pre-swirl system
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作者 Yifu LUO Qiang DU +3 位作者 Zengyan LIAN Guang LIU Lei XIE Qingzong XU 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 2025年第5期407-423,共17页
A pre-swirl system with a multi-chamber structure is crucial to the secondary air system of an aero engine.The airflow within the pre-swirl system(characterized by high-speed rotation and compressible flow)is complica... A pre-swirl system with a multi-chamber structure is crucial to the secondary air system of an aero engine.The airflow within the pre-swirl system(characterized by high-speed rotation and compressible flow)is complicated.During transient processes in aero engine operation,the pre-swirl system is subjected to upstream fluctuations,which is a less studied aspect.This paper delves into the unsteady flow characteristics within the pre-swirl system.We investigate the influence of different pressure-fluctuation boundary conditions,corresponding to step function,ramp function,and sine function,on the transient response characteristics of the pre-swirl system.The results indicate that the response characteristics are strongly affected by the upstream boundary conditions.An obvious overshoot phenomenon is observed in the actual temperature drop under the step and ramp function conditions.The peak time of the step function is 75%shorter compared to the ramp function.Furthermore,the flow parameters exhibit nonlinear growth during the transient process,emphasizing the need for consideration in future quasi-steady simulations.For the sine function condition,the pressure-fluctuation frequency minimally affects stable values of mass flow rate and actual temperature drop but exerts a substantial influence on the maximum deviation of actual temperature drop of the system.As the frequency increases from 100 Hz to 200 Hz,the maximum deviations for actual temperature drop change from around±13 K to±10 K. 展开更多
关键词 Upstream effect Unsteady flow transient response Cover-plate cavity Pre-swirl system
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Experimental study on transient electromagnetic conductivity logging in cased well
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作者 Shen Yong-Jin Su Yuan-Da 《Applied Geophysics》 2025年第2期422-431,558,共11页
A cased well model consists of a coaxial tank and casing,which houses coaxially installed transmitting and receiving coils.The transmitting coil is excited by the current produced by the transmitting circuit,and trans... A cased well model consists of a coaxial tank and casing,which houses coaxially installed transmitting and receiving coils.The transmitting coil is excited by the current produced by the transmitting circuit,and transient electromagnetic responses occur in the casing,including direct coupling and casing responses.As the range between the transmitting and receiving coils increases,direct coupling responses decay rapidly,are less than the casing response at 0.3 m,and disappear at 0.7 m.By contrast,a casing response increases rapidly and then declines slowly after reaching a peak and changes little within a specifi c range.The peak decreases slowly with range.The continuous addition of water to the tank causes slight changes in transient electromagnetic responses,so the diff erence which are subtracted from the response without water is used.Moreover,the diff erences at the time of rapid increase in response and the time of rapid decrease in response are large,forming a peak and a trough.Given that the conductivity of water in a full tank changes after the addition of salt,the diff erence in the peak is linear with the increase in the conductivity of water.This result provides an experimental basis for the design of a transient electromagnetic logging instrument that measures the conductivity of formation in cased well. 展开更多
关键词 transient electromagnetic response cased well conductivity logging COIL model experiment
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Fast-transient techniques for high-frequency DC–DC converters 被引量:2
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作者 Lin Cheng Kui Tang +1 位作者 Wang-Hung Ki Feng Su 《Journal of Semiconductors》 EI CAS CSCD 2020年第11期92-102,共11页
A 30 MHz voltage-mode controlled buck converter with fast transient responses is presented.An improved differential difference amplifier(DDA)-based Type-III compensator is proposed to reduce the settling times of the ... A 30 MHz voltage-mode controlled buck converter with fast transient responses is presented.An improved differential difference amplifier(DDA)-based Type-III compensator is proposed to reduce the settling times of the converter during load transients,and to achieve near-optimal transient responses with simple PWM control only.Moreover,a hybrid scheme using a digital linear regulator with automatic transient detection and seamless loop transition is proposed to further improve the transient responses.By monitoring the output voltage of the compensator instead of the output voltage of the converter,the proposed hybrid scheme can reduce undershoot and overshoot effectively with good noise immunity and without interrupting the PWM loop.The converter was fabricated in a 0.13μm standard CMOS process using 3.3 V devices.With an input voltage of 3.3 V,the measured peak efficiencies at the output voltages of 2.4,1.8,and 1.2 V are 90.7%,88%,and 83.6%,respectively.With a load step of 1.25 A and rise and fall times of 2 ns,the measured 1%settling times were 220 and 230 ns,with undershoot and overshoot with PWM control of 72 and 76 mV,respectively.They were further reduced to 36 and 38 mV by using the proposed hybrid scheme,and 1%settling times were also reduced to 125 ns. 展开更多
关键词 differential difference amplifier(DDA) Type-III compensator fast transient responses hybrid scheme high switching frequency overshoot/undershoot
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Research on Transient Response of Motorcycle with One Tire Colliding on Ground
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作者 顾亮 曲晋立 +2 位作者 张振华 宋玉杰 牛同斌 《Journal of Beijing Institute of Technology》 EI CAS 1998年第4期337-344,共8页
Aim To study the transient response of motorcycle with one tire colliding on ground. Methods Taking the colliding velocity as an independent variable, the changing law of the biggest collision inertia load of motorcy... Aim To study the transient response of motorcycle with one tire colliding on ground. Methods Taking the colliding velocity as an independent variable, the changing law of the biggest collision inertia load of motorcycle′s sprung mass, unsprung mass and driver was studied, while its front and rear tire colliding on ground respectively.Results and Conclusion According to the working conditions of motorcycle shock absorbers and the characteristic of response curve, the transient response of the acceleration, the velocity and the displacement were discussed section by section. And the result of simulating the actual JH125 motorcycle was given. 展开更多
关键词 transient response COLLISION MOTORCYCLE suspension system
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Transient response of a spherical cavity with a partially sealed shell embedded in viscoelastic saturated soil 被引量:14
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作者 刘干斌 谢康和 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2005年第3期194-201,共8页
Based on Biot’s wave equation, this paper discusses the transient response of a spherical cavity with a partially sealed shell embedded in viscoelastic saturated soil. The analytical solution is derived for the trans... Based on Biot’s wave equation, this paper discusses the transient response of a spherical cavity with a partially sealed shell embedded in viscoelastic saturated soil. The analytical solution is derived for the transient response to an axisymmetric surface load and fluid pressure in Laplace transform domain. Numerical results are obtained by inverting the Laplace transform presented by Durbin, and are used to analyze the influences of the partial permeable property of boundary and relative rigidity of shell and soil on the transient response of the spherical cavity. It is shown that the influence of these two parameters is remarkable. The available solutions of permeable and impermeable boundary without shell are only two extreme cases of this paper. 展开更多
关键词 VISCOELASTICITY Partial sealing Spherical shell transient response
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Effect of the Transient Response in Si/Ge Parallelizing PN Junction 被引量:10
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作者 Weiqi HUANGt and Chaogang CHEN(Department of Physics, Guizhou Educational College, Guiyan 550003, China)Ergang CHEN(Department of Physics, Yunnan University, Kunming 650091, China)To whom correspondence should be addressed 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 1999年第4期383-383,共1页
There are some new results about photovoltaic transient response in the new effect. We suggest a theoretical model to explain the effect reasonably. The theoretical calculation results agree with that in experiments.
关键词 PN SI Ge Effect of the transient Response in Si/Ge Parallelizing PN Junction
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TRANSIENT RESPONSE OF A VALVE CONTROL HYDRAULIC SYSTEM WITHLONG PIPES 被引量:9
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作者 WeiJianhua KongXiaowu QiuMinxiu WuGenmao 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2004年第1期31-35,共5页
The simulation model of a valve control hydraulic system with long pipe isestablished in Simulink4.0, and then the step responses of the systems with difference pipeparameters are investigated by simulation. Simulatio... The simulation model of a valve control hydraulic system with long pipe isestablished in Simulink4.0, and then the step responses of the systems with difference pipeparameters are investigated by simulation. Simulation results show that the long pipes will slowdown the step response of system and make it fluctuate periodically. The results of simulationconform to the results of experiment on the whole, which proves the mathematic model is correct. 展开更多
关键词 Long pipe Valve control system transient response
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Transient Hydroelastic Response of VLFS by FEM with Impedance Boundary Conditions in Time Domain 被引量:3
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作者 邱流潮 刘桦 《China Ocean Engineering》 SCIE EI 2005年第1期1-9,共9页
A time-dependent finite element method (FEM) is developed to analyze the transient hydroelastic responses of very large floating structures (VLFS) subjected to dynamic loads. The hydrodynamic problem is formulated bas... A time-dependent finite element method (FEM) is developed to analyze the transient hydroelastic responses of very large floating structures (VLFS) subjected to dynamic loads. The hydrodynamic problem is formulated based on the linear theory of fluid and the structural response is analyzed based on the thin plate theory. The FEM truncates the unbounded fluid domain by introducing an artificial boundary surface, thus defining a finite computational domain. At this boundary surface an impedance boundary conditions are applied so that no wave reflections occur. In the proposed scheme, all of the procedures are processed directly in time domain, which is efficient for nonlinear analyses of structure floating on unbounded fluid. Numerical results indicate acceptable accuracy of the proposed method. 展开更多
关键词 very large floating structure hydroelastic response impedance boundary conditions transient response fluid-structure interactions finite element method
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Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case 被引量:3
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作者 Xing ZHAO Zhenghua QIAN +1 位作者 Jinxi LIU Cunfa GAO 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2020年第1期139-156,共18页
Due to the incompatibility of the interlaminar deformations,the interface debonding or cracking usually happens in a layered magnetoelectric(ME)structure under an applied load.In this paper,the transient responses of ... Due to the incompatibility of the interlaminar deformations,the interface debonding or cracking usually happens in a layered magnetoelectric(ME)structure under an applied load.In this paper,the transient responses of the anti-plane interface cracks in piezoelectric(PE)-piezomagnetic(PM)sandwich structures are studied by the standard methods of the integral transform and singular integral equation.Discussion on the numerical examples indicates that the PE-PM-PE structure under electric impact is more likely to fracture than the PM-PE-PM structure under a magnetic impact.The dynamic stress intensity factors(DSIFs)are more sensitive to the variation of the active layer thickness.The effects of the material constants on the DSIFs are dependent on the roles played by PE and PM media during the deformation process. 展开更多
关键词 piezoelectric(PE)-piezomagnetic(PM) sandwich structure interface crack transient response dynamic stress intensity factor(DSIF)
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Simulation of Hertz Transient Contact/Impact of Flexible Bodies 被引量:3
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作者 卜长根 夏柏如 +1 位作者 连阴俊 曾辉 《Journal of Earth Science》 SCIE CAS CSCD 2012年第2期225-232,共8页
The transient response to longitudinal impact of flexible rods with Hertz contact is closely related to the extent of deformations with different impact parameters. By means of LS-DYNA, for different radius and differ... The transient response to longitudinal impact of flexible rods with Hertz contact is closely related to the extent of deformations with different impact parameters. By means of LS-DYNA, for different radius and different speeds, the longitudinal impact of a hammer with a rounded end on a drill rod is numerically simulated in this article. Simulations demonstrate that there is an obvious dif-ference between analytical solution and numerical solution on condition of short curvature radius. In the circumstance contact pressure increases, the boundary of the yield zone exceeds that of the contact zone, and the significant plastic deformation reduces the intensity of contact pressure pulse. Contact force-time curves in loading and unloading phases shift down. The numerical solution is in good agree-ment with analytical solution on condition of large curvature radius and impact speeds. The deforma-tion of yield region is constrained by the surrounding elastic region and no significant plastic deforma-tion appears. 展开更多
关键词 Hertz contact flexible rod impact transient response.
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Exact solutions to one-dimensional transient response of incompressible fluid-saturated single-layer porous media 被引量:2
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作者 单振东 凌道盛 丁皓江 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第1期75-84,共10页
Based on the Biot theory of porous media, the exact solutions to one- dimensional transient response of incompressible saturated single-layer porous media un- der four types of boundary conditions are developed. In th... Based on the Biot theory of porous media, the exact solutions to one- dimensional transient response of incompressible saturated single-layer porous media un- der four types of boundary conditions are developed. In the procedure, a relation between the solid displacement u and the relative displacement 'w is derived, and the well-posed initial conditions and boundary conditions are proposed. The derivation of the solution for one type of boundary condition is then illustrated in detail. The exact solutions for the other three types of boundary conditions are given directly. The propagation of the compressional wave is investigated through numerical examples. It is verified that only one type of compressional wave exists in the incompressible saturated porous media. 展开更多
关键词 transient response incompressible porous medium exact solution saturated
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Transient Response Model of Standing Wave Piezoelectric Linear Ultrasonic Motor 被引量:2
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作者 时运来 陈超 ZHAO Chunsheng 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2012年第6期1188-1192,共5页
A transient response model for describing the starting and stopping characteristics of the standing wave piezoelectric linear ultrasonic motor was presented. Based on the contact dynamic model, the kinetic equation of... A transient response model for describing the starting and stopping characteristics of the standing wave piezoelectric linear ultrasonic motor was presented. Based on the contact dynamic model, the kinetic equation of the motor was derived. The starting and stopping characteristics of the standing wave piezoelectric linear ultrasonic motor according to different loads, contact stiffness and inertia mass were described and analyzed, respectively. To validate the transient response model, a standing wave piezoelectric linear ultrasonic motor based on in-plane modes was used to carry out the simulation and experimental study. The corresponding results showed that the simulation of the motor performances based on the proposed model agreed well with the experimental results. This model will helpful to improve the stepping characteristics and the control flexibility of the standing wave piezoelectric linear ultrasonic motor. 展开更多
关键词 linear ultrasonic motor piezoelectric material ACTUATOR transient response
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ANALYSIS AND EXPERIMENT ON TRANSIENT DYNAMIC RESPONSE IN FINITE MINDLIN PLATE 被引量:2
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作者 Fengming Li Chunchuan Liu Tingwei Liang 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2013年第2期129-139,共11页
The transient wave propagation in the finite rectangular Mindlin plate is investi- gated by the analytical and experimental methods. The generalized ray method (GRM) which has been successfully applied to study the ... The transient wave propagation in the finite rectangular Mindlin plate is investi- gated by the analytical and experimental methods. The generalized ray method (GRM) which has been successfully applied to study the transient responses of beams, planar trusses, space frames and infinite layered media is extended to investigate the transient wave propagation and early short time transient response in finite Mindlin plate. Combining the wave solution, the shock source and the boundary conditions, the ray groups transmitted in the finite rectangular plate can be determined. Numerical simulations and experiments are performed and compared with each other. The results show that the transient wave propagation and early short time transient responses in the finite plate can be studied using the GRM. The early short time transient acceler- ations are very large for the finite plate subjected to the unit impulse, while the early short time transient displacements are very small. The early short time transient accelerations under the unit impulse are much larger than those under the unit step impulse. The thickness and material characteristics have remarkable effects on the early short time transient responses. 展开更多
关键词 finite Mindlin plate transient wave propagation early short time transient response generalized ray method
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Nonlinear Transient Response of Functionally Graded Material Sandwich Doubly Curved Shallow Shell Using New Displacement Field 被引量:2
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作者 Z.N.Li Y.X.Hao +1 位作者 W.Zhang J.H.Zhang 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2018年第1期108-126,共19页
In this paper, the nonlinear transient dynamic response of functionally graded material (FGM) sandwich doubly curved shell with homogenous isotropic material core and functionally graded face sheet is analyzed using... In this paper, the nonlinear transient dynamic response of functionally graded material (FGM) sandwich doubly curved shell with homogenous isotropic material core and functionally graded face sheet is analyzed using a new displacement field on the basis of Reddy's third-order shear theory for the first time. The equivalent material properties for the FGM face sheet are assumed to obey the rule of simple power law function in the thickness direction. Based on Reddy's theory of higher shear deformation, a new displacement field is developed by introducing the secant function into transverse displacement. Four coupled nonlinear differential equations are obtained by applying Hamilton's principle and Galerkin method. It is assumed that the FGM sandwich doubly curved shell is subjected to step loading, air-blast loading, triangular loading, and sinusoidal loading, respectively. On the basis of double-precision variable- coefficient ordinary differential equation solver, a new program code in FORTRAN software is developed to solve the nonlinear transient dynamics of the system. The influences of core thickness, volume fraction, core-to-face sheet thickness ratio, width-to-thickness ratio and blast type on the transient response of the shell are discussed in detail through numerical simulation. 展开更多
关键词 New displacement fields Functionally graded materials Sandwich doubly curvedshell Blast load Nonlinear transient response
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