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张伟

教授
博士生导师

材料与制造学部

张伟博士，博士生导师，国家杰出青年科学基金获得者。目前担任机械结构非线性振动与强度北京市重点实验室主任，航天器系统与动力学国际联合实验室副主任，动力学与控制研究所所长。1997年在天津大学力学系一般力学专业获博士学位，1997年破格晋升为教授。1999年加拿大西安大略大学博士后，2002−2003年加拿大多伦多大学机械与工业工程系访问教授，2006年起香港城市大学多次访问教授。2007年入选北京市属高等学校人才强教计划“学术创新团队”，2010年入选北京市属高等学校人才强教深化计划“高层次人才资助计划”。 张伟教授在国际和国内学术界有着广泛的影响，先后担任中国力学学会常务理事，动力学与控制专业委员会主任和副主任，中国振动工程学会常务理事，非线性振动专业委员会主任等职务，国家自然科学基金委员会数理科学部国家杰出青年科学基金评委，国家自然科学基金委员会力学学科评审组专家，“应用力学学报”副主编，“Acta Mechanica Sinica”编委，科学出版社“非线性动力学丛书”副主编，“International Journal of Dynamics and Control”副主编。担任多个国家重点实验室和省部级重点实验室学术委员会委员。 张伟教授在大型空间可展开结构非线性动力学与振动，可变体飞行器的非线性振动，高维非线性系统的全局摄动法和多脉冲混沌动力学，石墨烯增强复合材料板壳、压电复合材料板壳和功能梯度材料板壳结构的高维非线性系统振动理论和实验研究方面取得了国际上公认的研究成果。所获得的创新性成果为工程中高维非线性系统复杂动力学与振动的分析、结构动态特性设计与改进提供了强有力的理论依据与技术支撑。 张伟教授分别于2004年获国家杰出青年科学基金项目，2007年和2018年获国家自然科学基金重点项目二项，2012年获国家自然科学基金重大项目课题，2014年获国家自然科学基金重大仪器研制项目，主持并完成9项国家自然科学基金项目。发表学术论文600多篇，在国际学术期刊发表论文260多篇并被SCI 收录，300多篇论文被EI 收录，被SCI论文引用2900多次，SCI他引1700多次，5篇论文被高被引ESI 收录，在科学出版社出版学术专著4本。张伟教授于2010年获得北京市科学技术奖(基础研究)三等奖，第1获奖人；2002和2004年获天津市自然科学二等奖二项，第2获奖人。 张伟教授已有30多名博士研究生毕业，60多名硕士研究生毕业，10多名博士后出站。目前正在指导23名博士生，13名硕士生，在站博士后2人。1名博士生2008年获得北京市首届优秀博士学位论文，1名博士生获得2009年全国优秀博士学位论文提名奖。在已经毕业的硕士研究生中，有多名学生在美国、加拿大和香港的著名大学攻读博士学位，有多名学生在国内著名大学攻读博士学位，已经有10多位博士生去美国和加拿大的著名大学进行联合培养，包括乔治亚理工大学(Georgia Institute of Technology)、莱斯大学(Rice University)、弗吉尼亚理工大学(Virginia Polytechnic Institute and State University)、多伦多大学(University of Toronto)、麦吉尔大学(McGill University)、华盛顿大学(University of Washington)、杜克大学(Duke University)、马里兰大学(University of Maryland)等。

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Theoretical, Numerical and Experimental Researches on Time-Varying Dynamics of Telescopic Wing SCIE
期刊论文 | 2022 , 522 | JOURNAL OF SOUND AND VIBRATION
Zhang, W. | Gao, Y. H. | Lu, S. F.
WoS核心集被引次数： 8
摘要&关键词 引用

摘要 ：

The stability and vibration of the telescopic wing are studied by the theoretical, numerical and experimental methods when the wing is in the deployment and retraction. The telescopic wing is simplified to a telescopic cantilevered laminated composite rectangular plate subjected to the first-order aerodynamic force and in-plane excitation. The time-varying dynamic characteristics of the telescopic cantilevered laminated composite rectangular plate are investigated by using the analytical, numerical and experimental methods. The approximate analytical solution of the nonlinear time-varying system is obtained by using the improved averaging method. Compared with numerical simulations, the approximate analytical results demonstrate a good agreement. The stability of the telescopic cantilever plate during the deploying process is studied by using the eigenvalue method, which demonstrates the effect of the velocity, acceleration and thickness on the stability of the deployment. The experimental results are consistent with the theoretical results and provide the theoretical basis and technical support for the axial moving wing.

关键词 ：

Averaging method Averaging method Experimental research Experimental research Time-varying dynamic characteristic Time-varying dynamic characteristic Telescopic wing Telescopic wing

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GB/T 7714 Zhang, W. , Gao, Y. H. , Lu, S. F. . Theoretical, Numerical and Experimental Researches on Time-Varying Dynamics of Telescopic Wing [J]. | JOURNAL OF SOUND AND VIBRATION , 2022 , 522 .
MLA Zhang, W. 等. "Theoretical, Numerical and Experimental Researches on Time-Varying Dynamics of Telescopic Wing" . | JOURNAL OF SOUND AND VIBRATION 522 (2022) .
APA Zhang, W. , Gao, Y. H. , Lu, S. F. . Theoretical, Numerical and Experimental Researches on Time-Varying Dynamics of Telescopic Wing . | JOURNAL OF SOUND AND VIBRATION , 2022 , 522 .
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Analysis on nonlinear dynamics of two first-order resonances in a three-body system SCIE
期刊论文 | 2022 , 231 (11-12) , 2289-2306 | EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Zhou, Yi | Zhang, Wei
WoS核心集被引次数： 4
摘要&关键词 引用

摘要 ：

This paper focuses on the analysis on the nonlinear dynamics of two first-order 2:3 external and 3:2 internal mean motion resonances (MMRs) for three-body formed by two massive bodies, namely planet and star, and one test particle of the negligible mass. A detailed analysis of the phase space structure is given by computing Poincare map of the planar circular restricted three-body model. It is found that the eccentricity and initial location, namely the semimajor axis and phase, of the massless particle significantly affect the steady state of the resonant orbits. The transition mechanisms are obtained for the number of the stable islands. The width- and height-variation trends of the stable islands are analyzed. The stable and chaotic domains are obtained by the resonance space. Our results may be instructive for understanding the dynamics of the resonant bodies and the evolution of the resonant orbits.

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GB/T 7714 Zhou, Yi , Zhang, Wei . Analysis on nonlinear dynamics of two first-order resonances in a three-body system [J]. | EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS , 2022 , 231 (11-12) : 2289-2306 .
MLA Zhou, Yi 等. "Analysis on nonlinear dynamics of two first-order resonances in a three-body system" . | EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS 231 . 11-12 (2022) : 2289-2306 .
APA Zhou, Yi , Zhang, Wei . Analysis on nonlinear dynamics of two first-order resonances in a three-body system . | EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS , 2022 , 231 (11-12) , 2289-2306 .
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Nonlinear vibrations and dynamic snap-through behaviors of four-corner simply supported bistable asymmetric laminated composite square shell SCIE
期刊论文 | 2022 , 173 | MECHANICAL SYSTEMS AND SIGNAL PROCESSING
Wu, M. Q. | Zhang, W. | Chronopoulos, D.
WoS核心集被引次数： 29
摘要&关键词 引用

摘要 ：

The nonlinear vibrations and dynamic snap-through behaviors are studied for a four-corner simply supported bistable asymmetric laminated composite square shell under the foundation excitation by using the theoretical, Abaqus finite element (FE) and experiment approaches. The first-order shear deformation shell theory and Hamilton principle are adopted to derive the partial differential governing equations of motion. A novel type of nonlinear strain-displacement relations is given by Sander's strain. Galerkin approach is utilized to discretize the partial differential equations of motion into a three-degree-of-freedom system. The natural frequencies and vibration modes of the bistable shell are calculated by using Chebyshev polynomial method. The nonlinear vibrations and dynamic snap-through are investigated by using the maximum Lyapunov exponent, bifurcation diagrams, time histories, phase portraits, 3D phase portraits and Poincare maps. The theoretical results of the vibrations are well compared with those of the FE and experiment. The effects of the excitation and structural parameters on the dynamic snap through and nonlinear vibrations are fully discussed. The influences of the initial radius of the curvature on the critical load of the dynamic snap-through behaviors and rule of the chaotic vibrations are analyzed for the bistable asymmetric laminated composite shell.

关键词 ：

Nonlinear vibrations Nonlinear vibrations Four-corner simply supported bistable Four-corner simply supported bistable Dynamic snap-through Dynamic snap-through asymmetric laminated composite shell asymmetric laminated composite shell Double-well chaotic vibrations Double-well chaotic vibrations

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GB/T 7714 Wu, M. Q. , Zhang, W. , Chronopoulos, D. . Nonlinear vibrations and dynamic snap-through behaviors of four-corner simply supported bistable asymmetric laminated composite square shell [J]. | MECHANICAL SYSTEMS AND SIGNAL PROCESSING , 2022 , 173 .
MLA Wu, M. Q. 等. "Nonlinear vibrations and dynamic snap-through behaviors of four-corner simply supported bistable asymmetric laminated composite square shell" . | MECHANICAL SYSTEMS AND SIGNAL PROCESSING 173 (2022) .
APA Wu, M. Q. , Zhang, W. , Chronopoulos, D. . Nonlinear vibrations and dynamic snap-through behaviors of four-corner simply supported bistable asymmetric laminated composite square shell . | MECHANICAL SYSTEMS AND SIGNAL PROCESSING , 2022 , 173 .
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Modeling and analyze of behaviors of functionally graded graphene reinforced composite beam with geometric imperfection in multiphysics SCIE
期刊论文 | 2022 , 127 | AEROSPACE SCIENCE AND TECHNOLOGY
Guo, Li-Jia | Mao, Jia-Jia | Zhang, Wei | Liu, Ya-Ze | Chen, Jie | Zhao, Wei 展开
WoS核心集被引次数： 40
摘要&关键词 引用

摘要 ：

This paper establishes a mathematical model to analyze the static and dynamic behaviors of functionally graded graphene reinforced composite (FG-GRC) beam with geometric imperfection subjected to thermo-electro-mechanical load. Three different geometric imperfections are considered. Four different distribution patterns of graphene nanoplatelets (GPLs) are taken into consideration. The effective properties of the geometrically imperfect FG-GRC beam are estimated by the modified Halpin-Tsai model and rule of mixture. The nonlinear partial differential governing equations are deduced based on first -order shear deformation theory, von Karman nonlinear displacement-strain relationship and Hamilton principle, and discretized as ordinary differential forms through the differential quadrature (DQ) method. Newmark-beta method and iteration method are employed to numerically solve the governing equations. The effects of geometric imperfection, GPLs and piezoelectric actuators on bending and vibration of the geometrically imperfect FG-GRC beam subjected to thermo-electro-mechanical load are comprehensively investigated. The results clearly demonstrate that the coupling effect of geometric imperfections and thermo-electric-mechanical loads can introduce an additional transverse load acting along the length of the geometrically imperfect FG-GRC beam, and hence makes a significant difference on its static and dynamic behaviors. (C) 2022 Elsevier Masson SAS. All rights reserved.

关键词 ：

Geometric imperfection Geometric imperfection Bending Bending Graphene reinforced composite Graphene reinforced composite Functionally graded materials Functionally graded materials Vibrations Vibrations Thermo-electro-mechanical load Thermo-electro-mechanical load

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GB/T 7714 Guo, Li-Jia , Mao, Jia-Jia , Zhang, Wei et al. Modeling and analyze of behaviors of functionally graded graphene reinforced composite beam with geometric imperfection in multiphysics [J]. | AEROSPACE SCIENCE AND TECHNOLOGY , 2022 , 127 .
MLA Guo, Li-Jia et al. "Modeling and analyze of behaviors of functionally graded graphene reinforced composite beam with geometric imperfection in multiphysics" . | AEROSPACE SCIENCE AND TECHNOLOGY 127 (2022) .
APA Guo, Li-Jia , Mao, Jia-Jia , Zhang, Wei , Liu, Ya-Ze , Chen, Jie , Zhao, Wei . Modeling and analyze of behaviors of functionally graded graphene reinforced composite beam with geometric imperfection in multiphysics . | AEROSPACE SCIENCE AND TECHNOLOGY , 2022 , 127 .
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Vibration Reduction for an Asymmetric Elastically Supported Beam Coupled to an Inertial Nonlinear Energy Sink SCIE
期刊论文 | 2022 , 11 (4) , 1711-1723 | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES
Zhang, Wei | Chang, Zhi-Yong | Chen, Jie
WoS核心集被引次数： 17
摘要&关键词 引用

摘要 ：

Purpose The present paper addresses the vibration reduction for an elastic beam with an asymmetric boundary condition that is clamped at one end and elastically supported at the other end. An inertial nonlinear energy sink (NES) is installed on the elastic support end to suppress the beam's vibration. Methods The nonlinear terms introduced by the NES are transferred as the external excitations acting on the beam. The motion equations of the beam with an NES are derived according to Hamilton's principle and the Galerkin truncation method. The beam's natural frequencies and corresponding mode shapes are analytically obtained and verified with the results of the finite element method. The responses of the beam are numerically and analytically solved by the fourth order Runge-Kutta method and the harmonic balance method (HBM), respectively. Results The good agreement among the results validates the present derivation of the theoretical model and numerical solutions. The steady-state responses of the beam with and without the NES are compared and analyzed in the time domain. Conclusions The results demonstrate that adding the inertial enhanced NES can effectively reduce the resonance amplitude of the beam. Furthermore, a parametric optimization is conducted for NES to improve its performance. The results of this paper contribute to the application of NESs on the boundaries of elastic structures.

关键词 ：

Nonlinear energy sink Nonlinear energy sink Vibration control Vibration control Nonlinear boundary Nonlinear boundary inerter inerter Elastic support Elastic support

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GB/T 7714 Zhang, Wei , Chang, Zhi-Yong , Chen, Jie . Vibration Reduction for an Asymmetric Elastically Supported Beam Coupled to an Inertial Nonlinear Energy Sink [J]. | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES , 2022 , 11 (4) : 1711-1723 .
MLA Zhang, Wei et al. "Vibration Reduction for an Asymmetric Elastically Supported Beam Coupled to an Inertial Nonlinear Energy Sink" . | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES 11 . 4 (2022) : 1711-1723 .
APA Zhang, Wei , Chang, Zhi-Yong , Chen, Jie . Vibration Reduction for an Asymmetric Elastically Supported Beam Coupled to an Inertial Nonlinear Energy Sink . | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES , 2022 , 11 (4) , 1711-1723 .
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Active vibration control of smart porous conical shell with elastic boundary under impact loadings using GDQM and IQM SCIE
期刊论文 | 2022 , 175 | THIN-WALLED STRUCTURES
Hao, Y. X. | Li, H. | Zhang, W. | Ge, X. S. | Yang, S. W. | Cao, Y. T. 展开
WoS核心集被引次数： 29
摘要&关键词 引用

摘要 ：

In this paper, the active damping control of the porous metal foam truncated conical shell with smart material macro fiber composite (MFC) is studied. Suppose the shell has arbitrary elastic supported edges, and is subjected to the impact loadings. The elastic supported edges can be achieved by virtual spring technique. Adopting the elastic constraint boundary condition, various classical boundaries can be easily realized by varying the value of the spring stiffnesses. Along the thickness direction, there are three types of porosity distributions of truncated conical shell being considered, and they are nonuniform symmetric, uniform and nonuniform asymmetric distribution, respectively. The sensor layer MFC-d31 and the actuator layer MFC-d33 are applied in the vibration control system. According to the first order shear deformation theory (FSDT) and energy principle, the dynamic equation of the system under electrostatic-mechanical coupling is derived. Then it is discretized into ordinary differential equation by generalized differential quadrature method (GDQM). The output charge applied to the sensor can be solved by integral quadrature method (IQM). The convergence and validation of the formulation and numerical calculation are studied by the comparisons between the present solutions and those from the literatures, ANSYS and COMSOL for the truncate conical shell with classical boundary conditions, respectively. Suppose the impact loadings acting on the porous truncated conical shell are step loading and decreasing loading, respectively. The velocity negative feedback approach is employed to diminish the amplitude of the transient response and achieve the active damping control. Then the effects of control gain, external excitation, semi-vertex angle and spring stiffness on the transient response control of the conical shell are studied in detail.

关键词 ：

Integral quadrature method Integral quadrature method Active vibration control Active vibration control Smart porous conical shell Smart porous conical shell Generalized differential quadrature method Generalized differential quadrature method Transient response Transient response

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GB/T 7714 Hao, Y. X. , Li, H. , Zhang, W. et al. Active vibration control of smart porous conical shell with elastic boundary under impact loadings using GDQM and IQM [J]. | THIN-WALLED STRUCTURES , 2022 , 175 .
MLA Hao, Y. X. et al. "Active vibration control of smart porous conical shell with elastic boundary under impact loadings using GDQM and IQM" . | THIN-WALLED STRUCTURES 175 (2022) .
APA Hao, Y. X. , Li, H. , Zhang, W. , Ge, X. S. , Yang, S. W. , Cao, Y. T. . Active vibration control of smart porous conical shell with elastic boundary under impact loadings using GDQM and IQM . | THIN-WALLED STRUCTURES , 2022 , 175 .
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Vibration reduction of FG-CNTR piezoelectric laminated composite cantilever plate under aerodynamic load using full-dimensional state observer SCIE
期刊论文 | 2022 , 255 | ENGINEERING STRUCTURES
Lu, S. F. | Li, H. J. | Zhang, W. | Song, X. J. 展开
WoS核心集被引次数： 35
摘要&关键词 引用

摘要 ：

A robust control method is developed to suppress the vibrations of the functionally graded carbon nanotube-reinforced (FG-CNTR) piezoelectric laminated composite cantilever plate subjected to the aerodynamic force and thermal environment. The distributions of the carbon nanotubes (CNTs) in the entire plate thickness are classified as the functionally graded (FG) or uniform distributions (UD). The effective material properties are obtained using the rule of mixtures. The classic laminated composite plate theory and Hamilton principle are used to establish the governing equations of motion for the FG-CNTR laminated composite cantilever plate under combined the aerodynamic force and thermal environment. Galerkin method is used to obtain a two-degree-of-freedom ordinary differential control equation. To actively suppress the vibration, the piezoelectric patches are used as the actuators and sensors which are attached to the upper and lower surfaces of the FG-CNTR laminated composite cantilever plate. A full-dimensional state observer is introduced to design the robust controller. To verify the efficiency of the control strategy, a comparison between the robust controller and velocity feedback controller (VFC) indicates that the robust controller has better control efficiency than the VFC. The effects of the CNT distribution, CNT volume fraction, temperature and aspect ratio on the dynamic behaviors of the laminated composite plates are studied. The effectiveness and accuracy of the proposed robust controller are verified through numerical simulations under different cases.

关键词 ：

Aerodynamics force Aerodynamics force Full-dimensional state observer Full-dimensional state observer Thermal environment Thermal environment FG-CNTR cantilever plate FG-CNTR cantilever plate Vibration reduction Vibration reduction

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GB/T 7714 Lu, S. F. , Li, H. J. , Zhang, W. et al. Vibration reduction of FG-CNTR piezoelectric laminated composite cantilever plate under aerodynamic load using full-dimensional state observer [J]. | ENGINEERING STRUCTURES , 2022 , 255 .
MLA Lu, S. F. et al. "Vibration reduction of FG-CNTR piezoelectric laminated composite cantilever plate under aerodynamic load using full-dimensional state observer" . | ENGINEERING STRUCTURES 255 (2022) .
APA Lu, S. F. , Li, H. J. , Zhang, W. , Song, X. J. . Vibration reduction of FG-CNTR piezoelectric laminated composite cantilever plate under aerodynamic load using full-dimensional state observer . | ENGINEERING STRUCTURES , 2022 , 255 .
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Effect of CNT volume fractions on nonlinear vibrations of PMMA/CNT composite plates: A multiscale simulation SCIE
期刊论文 | 2022 , 170 | THIN-WALLED STRUCTURES
Wang, J. F. | Yang, J. P. | Tam, L-H | Zhang, W. 展开
WoS核心集被引次数： 31
摘要&关键词 引用

摘要 ：

The volume fraction of the carbon nanotube (CNT) plays a key role in ensuring the performance of the CNT reinforced polymer composite, especially under the severe vibration, which leads to the resonance and failure of the composite structure. In this paper, a bottom-up multiscale method is adopted to study the effect of the CNT volume fractions on the nonlinear vibration of the poly (methyl methacrylate) (PMMA)/CNT composite. According to the molecular simulation, the longitudinal, transverse and shear moduli of the PMMA/CNT nanocomposites are found to increase with the increasing CNT volume fractions. Substituting the simulated moduli into the extended rule of mixtures (EROM), the efficiency parameters of the PMMA/CNT composite with various CNT volume fractions are derived based on a homogenization approach. The derived efficiency parameters are used in the functionally graded (FG)-based EROM to obtain the expressions of the longitudinal, transverse and shear moduli of the macroscopic composite plate, so as to obtain the constitutive equation for the nonlinear vibrations of the FG-based PMMA/CNT composite plate. The subsequent meshless simulation results demonstrate that the natural frequencies of the FG-based composite plate increase with the increasing volume fractions, whereas the ratios of the nonlinear to linear frequencies decrease. Using the bottom-up multiscale analysis, the macroscopic vibration responses are analyzed for the PMMA/CNT composites with the CNT volume fractions up to 9.0%, which provides a paradigm of the design of the PMMA/CNT composite by considering the CNT volume fraction effect.

关键词 ：

Meshless simulation Meshless simulation Molecular dynamics Molecular dynamics CNT composite CNT composite Nonlinear vibration Nonlinear vibration CNT volume fraction CNT volume fraction PMMA PMMA

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GB/T 7714 Wang, J. F. , Yang, J. P. , Tam, L-H et al. Effect of CNT volume fractions on nonlinear vibrations of PMMA/CNT composite plates: A multiscale simulation [J]. | THIN-WALLED STRUCTURES , 2022 , 170 .
MLA Wang, J. F. et al. "Effect of CNT volume fractions on nonlinear vibrations of PMMA/CNT composite plates: A multiscale simulation" . | THIN-WALLED STRUCTURES 170 (2022) .
APA Wang, J. F. , Yang, J. P. , Tam, L-H , Zhang, W. . Effect of CNT volume fractions on nonlinear vibrations of PMMA/CNT composite plates: A multiscale simulation . | THIN-WALLED STRUCTURES , 2022 , 170 .
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Metastable nonlinear vibrations: Third chaos of bistable asymmetric composite laminated square shallow shell under foundation excitation EI
期刊论文 | 2021 , 255 | Composite Structures
Liu, T. | Zhang, W. | Wu, M.Q. | Zheng, Y. | Zhang, Y.F. 展开
摘要&关键词 引用

摘要 ：

The occurrence conditions of the metastable chaotic vibrations are firstly studied in the bistable asymmetric composite laminated square shallow shell under the foundation excitation. The metastable chaos is observed in the vibration experiments of the bistable asymmetric composite laminated square shallow shell. Based on the dynamic model of the bistable asymmetric composite laminated square shallow shell, the critical instability condition of the zero equilibrium point is analyzed in the bistable asymmetric composite laminated square shallow shell by using Jacobian matrix and Routh-Hurwitz criterion. We perform numerical simulations based on Runge-Kutta algorithm and the vibration experiments. A sufficient condition is found for the existence of the metastable chaos in the bistable asymmetric composite laminated square shallow shell. It is found that the zero equilibrium point of the bistable asymmetric composite laminated square shallow shell is unstable when the parametric excitation exceeds a specific critical value. The numerical results verify the theoretical analyses of the metastable chaos. It is demonstrated that the increase of the parametric excitation leads to the easier occurrence of the metastable chaos through observing the characteristics of the nonlinear dynamic behaviors of the system. Moreover, the existence of the metastable chaotic vibrations is confirmed in the bistable asymmetric composite laminated square shallow shell under the foundation excitation by using the vibration experiments. The large parametric excitation subjecting to the bistable asymmetric composite laminated square shallow shell is a key factor for the existence of the metastable chaos in the bistable asymmetric composite laminated square shallow shell under the foundation excitation. © 2020 Elsevier Ltd

关键词 ：

Laminated composites Laminated composites Chaos theory Chaos theory Runge Kutta methods Runge Kutta methods Laminating Laminating Foundations Foundations Jacobian matrices Jacobian matrices Shells (structures) Shells (structures)

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GB/T 7714 Liu, T. , Zhang, W. , Wu, M.Q. et al. Metastable nonlinear vibrations: Third chaos of bistable asymmetric composite laminated square shallow shell under foundation excitation [J]. | Composite Structures , 2021 , 255 .
MLA Liu, T. et al. "Metastable nonlinear vibrations: Third chaos of bistable asymmetric composite laminated square shallow shell under foundation excitation" . | Composite Structures 255 (2021) .
APA Liu, T. , Zhang, W. , Wu, M.Q. , Zheng, Y. , Zhang, Y.F. . Metastable nonlinear vibrations: Third chaos of bistable asymmetric composite laminated square shallow shell under foundation excitation . | Composite Structures , 2021 , 255 .
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Analytical and Numerical Results on Global Dynamics of the Generalized Boussinesq Equation with Cubic Nonlinearity and External Excitation SCIE
期刊论文 | 2021 , 2021 | MATHEMATICAL PROBLEMS IN ENGINEERING
Li, Mingyuan | Zhang, Wei | Wu, Qiliang
WoS核心集被引次数： 1
摘要&关键词 引用

摘要 ：

This paper analytically and numerically presents global dynamics of the generalized Boussinesq equation (GBE) with cubic nonlinearity and harmonic excitation. The effect of the damping coefficient on the dynamical responses of the generalized Boussinesq equation is clearly revealed. Using the reductive perturbation method, an equivalent wave equation is then derived from the complex nonlinear equation of the GBE. The persistent homoclinic orbit for the perturbed equation is located through the first and second measurements, and the breaking of the homoclinic structure will generate chaos in a Smale horseshoe sense for the GBE. Numerical examples are used to test the validity of the theoretical prediction. Both theoretical prediction and numerical simulations demonstrate the homoclinic chaos for the GBE.

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GB/T 7714 Li, Mingyuan , Zhang, Wei , Wu, Qiliang . Analytical and Numerical Results on Global Dynamics of the Generalized Boussinesq Equation with Cubic Nonlinearity and External Excitation [J]. | MATHEMATICAL PROBLEMS IN ENGINEERING , 2021 , 2021 .
MLA Li, Mingyuan et al. "Analytical and Numerical Results on Global Dynamics of the Generalized Boussinesq Equation with Cubic Nonlinearity and External Excitation" . | MATHEMATICAL PROBLEMS IN ENGINEERING 2021 (2021) .
APA Li, Mingyuan , Zhang, Wei , Wu, Qiliang . Analytical and Numerical Results on Global Dynamics of the Generalized Boussinesq Equation with Cubic Nonlinearity and External Excitation . | MATHEMATICAL PROBLEMS IN ENGINEERING , 2021 , 2021 .
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