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Nonlinear response analysis and experimental verification for thin-walled plates to thermal-acoustic loads 被引量:3
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作者 Yundong SHA Jian WANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2017年第6期1919-1930,共12页
For large deflection strongly nonlinear response problem of thin-walled structure to thermal-acoustic load, thermal-acoustic excitation test and corresponding simulation analysis for clamped metallic thin-walled plate... For large deflection strongly nonlinear response problem of thin-walled structure to thermal-acoustic load, thermal-acoustic excitation test and corresponding simulation analysis for clamped metallic thin-walled plate have been implemented. Comparing calculated values with experimental values shows the consistency and verifies the effectiveness of calculation method and model for thin-walled plate subjected to thermal-acoustic load. Then this paper further completes dynamic response calculation for the cross reinforcement plate under different thermalacoustic load combinations. Based on the obtained time-domain displacement response, analyses about structure vibration forms are mainly focused on three typical motions of post-buckled plate,indicating that the relative strength between thermal load and acoustic load determines jump forms of plate. The Probability spectrum Density Functions(PDF) of displacement response were drawn and analyzed by employing statistical analysis method, and it clearly shows that the PDF of postbuckled plate exhibits bimodal phenomena. Then the Power Spectral Density(PSD) functions were used to analyze variations of response frequencies and corresponding peaks with the increase of temperatures, as well as how softening and hardening areas of the plate are determined. In the last section, this paper discusses the change laws of tensile stress and compressive stress in pre/post buckling areas, and gives the reasons for N glyph trend of the stress Root Mean Square(RMS). 展开更多
关键词 BUCKLING Experimental verification nonlinear response Power spectral density Probability spectrum densitySnap-through Thermal-acoustic load Thin-walled structure
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Nonlinear response spectrums for cable-supported glass curtain walls
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作者 周华樟 武岳 祝恩淳 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2007年第6期827-832,共6页
Aiming at the seismic-resistant performance of cable-supported glass curtain walls,the methods for formulating nonlinear single degree of freedom system and calculating the nonlinear response spectrums are proposed. T... Aiming at the seismic-resistant performance of cable-supported glass curtain walls,the methods for formulating nonlinear single degree of freedom system and calculating the nonlinear response spectrums are proposed. Taking pretension effect in cables and geometrical nonlinearity into account,the nonlinear acceleration spectrums are calculated under given conditions,such as site and different seismic fortification intensities. The seismic design response spectrums are developed. During vibrating,varying period due to the influence of pretension effect in cables and geometrical nonlinearity drives the maximum period of plateau in nonlinear response spectrums to move towards the long period zone,and the maximum of seismic effect coefficient is larger than that of current seismic code. The theoretical analysis and the example demonstrate that using the nonlinear response spectrums is safe and economical. 展开更多
关键词 cable-supported structure glass curtain wall nonlinear response spectrum seismic design
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NONLINEAR RESPONSES OF GAMMA-RAY DOSIMETERS
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作者 罗达玲 杨健明 张纯祥 《Nuclear Science and Techniques》 SCIE CAS CSCD 1994年第1期58-64,共7页
Either sublinear or supralinear responses of dosimeters to y-ray can be described by a response function derived from statistical Poisson distribution.The characteristic parameters of the function determine linearity,... Either sublinear or supralinear responses of dosimeters to y-ray can be described by a response function derived from statistical Poisson distribution.The characteristic parameters of the function determine linearity, sublinearity and supralinearity in their responses. The experimental data of gamma dose-responses of alanine ESR dosimeters,film dosimeters, LiF(Mg, Cu, P) and LiF(Mg, Ti) thermoluminescence dosimeters are used to test the response function. 展开更多
关键词 DOSIMETERS nonlinear responses y-ray
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Nonlinear response of ultrasound contrast agent microbubbles:From fundamentals to applications
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作者 滕旭东 郭霞生 +1 位作者 屠娟 章东 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第12期49-56,共8页
Modelling and biomedical applications of ultrasound contrast agent (UCA) microbubbles have attracted a great deal of attention. In this review, we summarize a series of researches done in our group, including (i) ... Modelling and biomedical applications of ultrasound contrast agent (UCA) microbubbles have attracted a great deal of attention. In this review, we summarize a series of researches done in our group, including (i) the development of an all-in-one solution of characterizing coated bubble parameters based on the light scattering technique and flow cytometry; (ii) a novel bubble dynamic model that takes into consideration both nonlinear shell elasticity and viscosity to eliminate the dependences of bubble shell parameters on bubble size; (iii) the evaluation of UCA inertial cavitation threshold and its relationship with shell parameters; and (iv) the investigations of transfection efficiency and the reduction of cytotoxicity in gene delivery facilitated by UCAs excited by ultrasound exposures. 展开更多
关键词 ultrasound contrast agents MICROBUBBLES nonlinear response inertial cavitation DNA transfec- tion
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Nonlinear Resonance Response of Suspended Cables Under Multi-Frequency Excitations and Time-Delayed Feedback
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作者 Jian Peng Hui Xia +2 位作者 Lianhua Wang Xiaoyu Zhang Xianzhong Xie 《Acta Mechanica Solida Sinica》 2025年第4期689-700,共12页
This study investigates the nonlinear resonance responses of suspended cables subjected to multi-frequency excitations and time-delayed feedback.Two specific combinations and simultaneous resonances are selected for d... This study investigates the nonlinear resonance responses of suspended cables subjected to multi-frequency excitations and time-delayed feedback.Two specific combinations and simultaneous resonances are selected for detailed examination.Initially,utilizing Hamilton’s variational principle,a nonlinear vibration control model of suspended cables under multi-frequency excitations and longitudinal time-delayed velocity feedback is developed,and the Galerkin method is employed to obtain the discrete model.Subsequently,focusing solely on single-mode discretization,analytical solutions for the two simultaneous resonances are derived using the method of multiple scales.The frequency response equations are derived,and the stability analysis is presented for two simultaneous resonance cases.The results demonstrate that suspended cables exhibit complex nonlinearity under multi-frequency excitations.Multiple solutions under multi-frequency excitation can be distinguished through the frequency–response and the detuning-phase curves.By adjusting the control gain and time delay,the resonance range,response amplitude,and phase of suspended cables can be modified. 展开更多
关键词 Suspended cables Multi-frequency excitation Time-delayed feedback nonlinear resonance response
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Ground conditions and foundation types:Unraveling their impact on seismic response of high-rise buildings within dynamic soil-structure interaction
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作者 Xiaofeng Zhang Harry Far 《Earthquake Engineering and Engineering Vibration》 2025年第4期927-941,共15页
Structures modelled with flexible-base assumptions,incorporating soil effects,generally exhibit longer natural periods and higher damping compared to fixed-base models that exclude soil-structure interaction(SSI).Howe... Structures modelled with flexible-base assumptions,incorporating soil effects,generally exhibit longer natural periods and higher damping compared to fixed-base models that exclude soil-structure interaction(SSI).However,the beneficial or detrimental nature of SSI remains contentious in current earthquake damage analyses and research findings.This study introduces a numerical modelling technique,validated by experimental shaking table tests,to examine the effects of SSI on high-rise buildings.The study considers various substructure parameters,including foundation types,soil types,and bedrock depths.Both advantageous and adverse impacts of SSI are identified and analysed.Numerical simulations reveal that increased subsoil stiffness significantly amplifies the base shear of structures compared to bedrock depth effects.Additionally,increased foundation rocking results in higher inter-storey drifts and reduced base shear.Overall,SSI tends to amplify inter-storey drifts,indicating detrimental effects.Specifically,the study found that the inclusion of SSI increased maximum inter-storey drifts by up to 38%,particularly in softer soils,while reducing base shear by up to 44%in structures with classical compensated foundations on D_(e)and E_(e)soil types.In contrast,piled foundation systems experienced an increase in base shear of up to 27%under the same conditions.Conversely,SSI has beneficial impacts on base shear for structures with classical compensated foundations on soil types of D_(e)and E_(e),as it reduces the base shear.For structures with piled foundations and those with classical compensated foundations on C_(e)soil,SSI effects are detrimental.C_(e),D_(e),and E_(e)soils correspond to geotechnical classifications per AS1170,representing stiff,medium,and soft soils respectively.The study also presents minimum base shear ratios considering SSI reduction effects for various foundation types. 展开更多
关键词 recycled concrete frame-shear wall concealed bracings shaking table test nonlinear time-history response analysis
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Seismic response and vulnerability assessment of the pile-supported bridge pier in seasonally frozen regions
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作者 Yu Shengsheng Zhang Mingyi +1 位作者 Zhang Xiyin Wang Wanping 《Earthquake Engineering and Engineering Vibration》 2025年第2期493-507,共15页
Here,a seismic-response analysis model was proposed for evaluating the nonlinear seismic response of a pile-supported bridge pier under frozen and thawed soil conditions.The effect of a seasonally frozen soil layer on... Here,a seismic-response analysis model was proposed for evaluating the nonlinear seismic response of a pile-supported bridge pier under frozen and thawed soil conditions.The effect of a seasonally frozen soil layer on the seismic vulnerability of a pile-supported bridge pier was evaluated based on reliability theory.Although the frozen soil layer inhibited the seismic response of the ground surface to a certain extent,it exacerbated the acceleration response at the bridge pier top owing to the low radiation damping effect of the frozen soil layer.Furthermore,the frozen soil layer reduced the lateral displacement of the bridge pier top relative to the ground surface by approximately 80%,thereby preventing damage caused by earthquakes,such as falling girders.Compared to the thawed state of the ground surface,the bending moment of the bridge pier in frozen ground increases.However,the bending moment of the pile foundation in frozen ground decreases,thereby lessening the seismic vulnerability of the bridge pile foundation.The results of this can provide a reference for the seismic response analysis and seismic risk assessment of pile-supported bridges in seasonally frozen regions. 展开更多
关键词 pile-supported bridge pier seasonally frozen region infinite element boundary nonlinear seismic response seismic vulnerability
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Effective AC response of a nonlinear spherical coated composite 被引量:1
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作者 郝艳花 陈小刚 +1 位作者 侯睿 王瑞 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第6期471-476,共6页
An effective nonlinear response of a nonlinear composite with spherical coated inclusions randomly embedded in a host medium under the action of an external AC electric field, Ea= E1 sin(wt) + E3 sin(3wt), is inv... An effective nonlinear response of a nonlinear composite with spherical coated inclusions randomly embedded in a host medium under the action of an external AC electric field, Ea= E1 sin(wt) + E3 sin(3wt), is investigated using a perturbation method. The local potentials of the composite at higher harmonics are given both in the region of local inclusion particles and in the local host region under the external AC electric field. All effective nonlinear responses of the composite and the relationship between the effective nonlinear responses at the fundamental frequency and third harmonics are also studied for spherical coated inclusion in a dilute limit. 展开更多
关键词 nonlinear composite effective nonlinear response coated composite AC electric field
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Nonlinear current response and electric quantum oscillations in the Dirac semimetal Cd_(3)As_(2)
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作者 崔浩楠 吴泽南 +7 位作者 王建坤 祝光宇 杨佳洁 郑文壮 廖志敏 王硕 林本川 俞大鹏 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第8期104-108,共5页
Chiral anomaly is a distinct quantum anomaly associated with chiral fermions in Dirac or Weyl semimetals.The use of negative magnetoresistance(negative MR)as a signature for this anomaly remains contentious,as trivial... Chiral anomaly is a distinct quantum anomaly associated with chiral fermions in Dirac or Weyl semimetals.The use of negative magnetoresistance(negative MR)as a signature for this anomaly remains contentious,as trivial mechanisms such as current jetting and weak localization can also induce negative MR.In this study,we report a novel nonlinear behavior of the chiral anomaly in the longitudinal direction,which we observed by applying parallel current and magnetic field to the Dirac semimetal Cd_(3)A_(s_(2)).This nonlinear characteristic peaks at an intermediate magnetic field of approximately5 T,displaying a resistance-increasing property concomitant with strengthening of the current source.Through angledependence experiments,we were able to rule out trivial factors,such as thermal effects,geometric artifacts,and anisotropy.Furthermore,additional electric quantum oscillations were observed when the direct current(DC)was applied as high as300μA.Such an unusual phenomenon is ascribed to the formation of quantized levels due to Bloch oscillation in the high DC regime,suggesting that an oscillatory density distribution may arise as the electric field increases.The non-Ohmic electric quantum oscillations open a new avenue for exploring chiral anomaly and other nontrivial topological properties,which is also one of the salient features of nonequilibrium steady states in condensed matter physics. 展开更多
关键词 nonlinear response electric quantum oscillations chiral anomaly topological semimetals
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Effective response of nonlinear cylindrical coated composites under external AC and DC electric field
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作者 沈玉艳 陈小刚 +2 位作者 崔巍 郝艳华 李倩倩 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第2期757-762,共6页
This paper uses the perturbation method to study effective response of nonlinear cylindrical coated composites. Under the external AC and DC electric field Ea (1 +sin ωt), the local potentials of composites at all... This paper uses the perturbation method to study effective response of nonlinear cylindrical coated composites. Under the external AC and DC electric field Ea (1 +sin ωt), the local potentials of composites at all harmonic frequencies are induced. An effective nonlinear response to composite is given for the cylindrical coated inclusions in the dilute limit. 展开更多
关键词 nonlinear composites effective nonlinear response the external AC and DC electric field
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Effective response in nonlinear spherical coated composites under external AC and DC electric fields
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作者 包曙红 陈小刚 +2 位作者 李倩倩 郭军明 翟丽丽 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第8期428-434,共7页
By using the perturbation method, effective nonlinear direct current (DC) and alternating current (AC) responses of nonlinear composites with spherical coated inclusions randomly embedded in a host medium are stud... By using the perturbation method, effective nonlinear direct current (DC) and alternating current (AC) responses of nonlinear composites with spherical coated inclusions randomly embedded in a host medium are studied under the action of an external electric field Ea = E0 + E1 sinωt + E3 sin 3ωt with different amplitudes and frequencies. The local potentials of composites at all harmonics are given in the inclusion particles and the host regions. All effective nonlinear responses to composites and the relationship between the effective nonlinear responses at all harmonics are also deduced for the spherical coated inclusions in a dilute limit. 展开更多
关键词 nonlinear spherical coated composites effective nonlinear response the external AC andDC electric field
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ANALYSIS OF NONLINEAR DYNAMIC RESPONSE FOR VISCOELASTIC COMPOSITE PLATE WITH TRANSVERSE MATRIX CRACKS 被引量:6
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作者 FuYiming LiPing'en ZhengYufang 《Acta Mechanica Solida Sinica》 SCIE EI 2004年第3期230-238,共9页
Based on the Schapery three-dimensional viscoelastic constitutive relationship with growing damage, a damage model with transverse matrix cracks for the unidirectional ?bre rein- forced viscoelastic composite ... Based on the Schapery three-dimensional viscoelastic constitutive relationship with growing damage, a damage model with transverse matrix cracks for the unidirectional ?bre rein- forced viscoelastic composite plates is developed. By using Karman theory, the nonlinear dynamic governing equations of the viscoelastic composite plates under transverse periodic loading are es- tablished. By applying the ?nite di?erence method in spatial domain and the Newton-Newmark method in time domain, and using the iterative procedure, the integral-partial di?erential gov- erning equations are solved. Some examples are given and the results are compared with available data. 展开更多
关键词 viscoelastic composite plate transverse matrix cracks damage evolution equation nonlinear dynamic response
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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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Nonlinear Seismic Response of Rock Tunnels Crossing Inactive Fault under Obliquely Incident Seismic P Waves 被引量:3
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作者 Hongyun Jiao Xiuli Du +3 位作者 Mi Zhao Jingqi Huang Xu Zhao Wenlong Ouyang 《Journal of Earth Science》 SCIE CAS CSCD 2021年第5期1174-1189,共16页
The failure mechanism of tunnels crossing faults is a critical issue for tunnels located in seismically active regions. This study aims to investigate the nonlinear response of rock tunnels crossing inactive faults un... The failure mechanism of tunnels crossing faults is a critical issue for tunnels located in seismically active regions. This study aims to investigate the nonlinear response of rock tunnels crossing inactive faults under obliquely incident seismic P waves. Based on the equivalent nodal force method together with the viscous-spring boundary, an incident method for the site, which contains fault and is subjected to obliquely incident seismic P waves, is developed first. Then, based on the proposed incident method, the nonlinear response and the failure process of the tunnel crossing inactive fault are numerically studied. The numerical results show that the failure mechanism of the tunnel crossing inactive fault can be attributed to the combined action of the seismic waves and its associated fault slippage. Finally, parameter studies are conducted to investigate the effects of the wave impedance ratio of the fault to the surrounding rock and the incident angle of P waves. By the parameter analysis, it can be concluded that:(1) with decreasing the wave impedance ratio of the fault to the surrounding rock, the seismic response of the tunnel increases significantly;(2) the seismic response of the tunnel increases first and then decreases with the increasing of the incident angle of P waves. This study offers the insight for further research on the seismic stability of tunnels crossing inactive faults. 展开更多
关键词 TUNNEL inactive fault EARTHQUAKE P wave nonlinear seismic response
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Dynamics Analysis of Active Variable Stiffness Vibration Isolator for Whole-Spacecraft Systems Based on Nonlinear Output Frequency Response Functions 被引量:3
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作者 Kefan Xu Yewei Zhang +2 位作者 Yunpeng Zhu Jian Zang Liqun Chen 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2020年第6期731-743,共13页
In order to improve the harsh dynamic environment experienced by heavy rockets during different external excitations,this study presents a novel active variable stiffness vibration isolator(AVS-VI)used as the vibratio... In order to improve the harsh dynamic environment experienced by heavy rockets during different external excitations,this study presents a novel active variable stiffness vibration isolator(AVS-VI)used as the vibration isolation device to reduce excessive vibration of the whole-spacecraft isolation system.The AVS-VI is composed of horizontal stiffness spring,positive stiffness spring,parallelogram linkage mechanism,piezoelectric actuator,acceleration sensor,viscoelastic damping,and PID active controller.Based on the AVS-VI,the generalized vibration transmissibility determined by the nonlinear output frequency response functions and the energy absorption rate is applied to analyze the isolation performance of the whole-spacecraft system with AVS-VI.The AVS-VI can conduct adaptive vibration suppression with variable stiffness to the whole-spacecraft system,and the analysis results indicate that the AVS-VI is efTective in reducing the extravagant vibration of the whole-spacecraft system,where the vibration isolation is decreased up to above 65%under different acceleration excitations.Finally,different parameters of AVS-VI are considered to optimize the whole-spacecraft system based on the generalized vibration transmissibility and the energy absorption rate. 展开更多
关键词 Vibration isolation Active variable stiffness vibration isolator nonlinear output frequency response functions(NOFRFs) TRANSMISSIBILITY
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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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Analysis of interlaminar stress and nonlinear dynamic response for composite laminated plates with interfacial damage 被引量:1
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作者 F.H.Zhu .M.Fu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2008年第6期709-720,共12页
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
关键词 Laminated plates Geometric nonlinearity Accurate stress analysis Interfacial damage Interlaminar stress nonlinear dynamic response
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Study of Nonlinear Seismic Response and TMD Primary Control of the Cable-Stayed Bridge Section of the Third Macao-Taipa Bridge 被引量:1
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作者 LongXiaohong LiLi 《Journal of China University of Geosciences》 SCIE CSCD 2004年第4期409-415,共7页
The practical design of the cable-stayed bridge of the 3rd Macao-Taipa bridge is investigated by the finite element analysis program ANSYS, and 3-D elements BEAM188 and BEAM4 are adopted to create a dynamic calculati... The practical design of the cable-stayed bridge of the 3rd Macao-Taipa bridge is investigated by the finite element analysis program ANSYS, and 3-D elements BEAM188 and BEAM4 are adopted to create a dynamic calculation model. In order to analyze the material nonlinear seismic response of the cable-stayed bridge, the nonlinear behaviors of the ductile plastic hinges of the bridge towers are taken into account by employing the nonlinear rotational spring element COMBIN40. To simulate a major earthquake, three earthquake records were chosen using a wave-choosing program and input into the bridge structure along longitudinal and transversal directions. Comparisons of the linear and nonlinear seismic responses of the cable-stayed bridge are performed. In addition, a study of TMD primary control is carried out using element MASS21 and element COMBIN14, and it is indicated that the effects of mitigation monitoring are evident. 展开更多
关键词 cable-stayed bridge time-history analysis method nonlinear seismic response TMD primary control.
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Electric field distribution and effective nonlinear AC and DC responses of graded cylindrical composites 被引量:1
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作者 丁霞 贾艳霞 魏恩泊 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第5期569-576,共8页
The perturbation method is used to study the localization of electric field distribution and the effective nonlinear response of graded composites under an external alternating-current(AC) and direct-current(DC) e... The perturbation method is used to study the localization of electric field distribution and the effective nonlinear response of graded composites under an external alternating-current(AC) and direct-current(DC) electric field E app = E 0(1 + sin ωt).The dielectric profile of the cylindrical inclusions is modeled by function ε i(r) = C k r k(r ≤ a),where r is the radius of the cylindrical inclusion,and C k,k,a are parameters.In the dilute limit,the local potentials and the effective nonlinear responses at all harmonics are derived.Meanwhile,the general effective nonlinear responses are also derived and compared with the effective nonlinear responses at harmonics under the AC and DC external field.It is found that the effective nonlinear AC and DC responses at harmonics can be calculated by those of the general effective nonlinear of the graded composites under the external DC electric field.Moreover,the obtained local electrical fields show that the electrical field distribution in the cylindrical inclusions is controllable,and the maximum of the electric field inside the cylinder is at its center. 展开更多
关键词 graded composite effective nonlinear alternating-current and direct-current response local electric field distribution
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Nonlinear dynamic response of beam and its application in nanomechanical resonator 被引量:3
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作者 Yin Zhang Yun Liu Kevin D.Murphy 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第1期190-200,共11页
Nonlinear dynamic response of nanomechanical resonator is of very important characteristics in its application. Two categories of the tension-dominant and curvaturedominant nonlinearities are analyzed. The dynamic non... Nonlinear dynamic response of nanomechanical resonator is of very important characteristics in its application. Two categories of the tension-dominant and curvaturedominant nonlinearities are analyzed. The dynamic nonlinearity of four beam structures of nanomechanical resonator is quantitatively studied via a dimensional analysis approach. The dimensional analysis shows that for the nanomechanical resonator of tension-dominant nonlinearity, its dynamic nonlinearity decreases monotonically with increasing axial loading and increases monotonically with the increasing aspect ratio of length to thickness; the dynamic nonlinearity can only result in the hardening effects. However, for the nanomechanical resonator of the curvature-dominant nonlinearity, its dynamic nonlinearity is only dependent on axial loading. Compared with the tension-dominant nonlinearity, the curvature-dominant nonlinearity increases monotonically with increasing axial loading; its dynamic nonlinearity 展开更多
关键词 Resonator. Dynamic response. Dynamic nonlinearity - Dimensional analysis
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