Inter-well internal resonance analysis of rectangular asymmetric cross-ply bistable composite laminated cantilever shell under transverse foundation excitation

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外文摘要：The chaotic dynamic snap-through and complex nonlinear vibrations are in-vestigated in a rectangular asymmetric cross-ply bistable composite laminated cantilever shell,in cases of 1:2 inter-well internal resonance and primary resonance.The transverse foundation excitation is applied to the fixed end of the structure,and the other end is in a free state.The first-order approximate multiple scales method is employed to perform the perturbation analysis on the dimensionless two-degree-of-freedom ordinary differential motion control equation.The four-dimensional averaged equations are derived in both polar and rectangular coordinate forms.Deriving from the obtained frequency-amplitude and force-amp litude response curves,a detailed analysis is conducted to examine the im-pacts of excitation amplitude,damping coefficient,and tuning parameter on the nonlinear internal resonance characteristics of the system.The nonlinear softening characteristic is exhibited in the upper stable-state,while the lower stable-state demonstrates the softening and linearity characteristics.Numerical simulation is carried out using the fourth-order Runge-Kutta method,and a series of nonlinear response curves are plotted.Increasing the excitation amplitude further elucidates the global bifurcation and chaotic dynamic snap-through characteristics of the bistable cantilever shell.

外文关键词：

bistable composite laminated cantilever shellinter-well internal resonanceprimary resonancechaotic dynamic snap-throughcomplex nonlinear vibration

作者：

Lele REN、Wei ZHANG、Yufei ZHANG

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作者单位：

State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China

Department of Mechanics,Guangxi University,Nanning 530004,China

Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures,College of Mechanical Engineering,Beijing University of Technology,Beijing 100124,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of China

项目编号：

Nos.1183200212072201

出版年：

2024

DOI：

10.1007/s10483-024-3136-7

应用数学和力学(英文版)

上海大学

应用数学和力学(英文版)

影响因子：0.294

ISSN：0253-4827

年,卷(期)：2024.45(8)