Multimodal Resonance Response of Incompressible Hyperelastic Moderately Thick Cylindrical Shells

IF 3 3区工程技术 Q2 ENGINEERING, CIVIL

International Journal of Structural Stability and Dynamics Pub Date : 2024-03-11 DOI:10.1142/s0219455425500282

Zhentao Zhao, Jiayan Lin, Jie Xu, Xuegang Yuan

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引用次数: 0

Abstract

Based on the modified third-order shear deformation theory, the harmonic balance method, and the pseudo-arclength continuation method with two-point prediction, the nonlinear forced vibration response of incompressible hyperelastic moderately thick cylindrical shells subjected to a concentrated harmonic load at mid-span and simply supported boundary conditions at both ends is investigated. The algorithmic procedure for solving steady-state periodic solutions of strongly nonlinear systems of differential equations is presented. The structural response characteristics of shells under different excitation amplitudes and structural parameters are analyzed. The numerical results indicate that the aspect ratio of moderately thick hyperelastic cylindrical shells has a significant effect on the natural frequency ratio. Different frequency ratios lead to varying nonlinear mode coupling effects. The coupling effects among modes result in complex nonlinear behavior in the vibration response of each mode, leading to abundant multi-valued phenomena in the response curve.

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不可压缩超弹性中厚圆柱壳的多模态共振响应

基于修正的三阶剪切变形理论、谐波平衡法和两点预测的伪arclength延续法，研究了不可压缩超弹性中等厚度圆柱壳的非线性受迫振动响应，该圆柱壳在跨中承受集中谐波载荷，在两端承受简单支撑边界条件。介绍了求解强非线性微分方程系统稳态周期解的算法程序。分析了不同激励振幅和结构参数下壳的结构响应特性。数值结果表明，中等厚度超弹性圆柱壳的长宽比对固有频率有显著影响。不同的频率比会导致不同的非线性模态耦合效应。模态间的耦合效应导致每个模态的振动响应具有复杂的非线性行为，从而在响应曲线中产生丰富的多值现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Structural Stability and Dynamics 工程技术-工程：机械

CiteScore

5.30

自引率

38.90%

发文量

291

审稿时长

4 months

期刊介绍： The aim of this journal is to provide a unique forum for the publication and rapid dissemination of original research on stability and dynamics of structures. Papers that deal with conventional land-based structures, aerospace structures, marine structures, as well as biostructures and micro- and nano-structures are considered. Papers devoted to all aspects of structural stability and dynamics (both transient and vibration response), ranging from mathematical formulations, novel methods of solutions, to experimental investigations and practical applications in civil, mechanical, aerospace, marine, bio- and nano-engineering will be published. The important subjects of structural stability and structural dynamics are placed together in this journal because they share somewhat fundamental elements. In recognition of the considerable research interests and recent proliferation of papers in these subjects, it is hoped that the journal may help bring together papers focused on related subjects, including the state-of-the-art surveys, so as to provide a more effective medium for disseminating the latest developments to researchers and engineers. This journal features a section for technical notes that allows researchers to publish their initial findings or new ideas more speedily. Discussions of papers and concepts will also be published so that researchers can have a vibrant and timely communication with others.