基于谱元法的任意边界层合圆柱壳振动特性分析

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (9) : 37-44.

振动理论与交叉研究

基于谱元法的任意边界层合圆柱壳振动特性分析

吴江海*1,2，朱真慧1，胡东森1，段勇1,2，尹志勇1,2

作者信息 +

Vibration characteristics analysis of laminated cylindrical shell with arbitrary boundary using spectral element method

WU Jianghai*1,2, ZHU Zhenhui1, HU Dongsen1, DUAN Yong1,2, YIN Zhiyong1,2

Author information +

文章历史 +

摘要

随着复合材料应用越来越广泛，其振动特性成为相关工程与学术研究热点。本文基于层合理论，采用谱元法建立了层合圆柱壳动力学计算模型，给出了层合圆柱壳动刚度矩阵表达式。与有限元计算固有频率和振动位移曲线对比，验证了本文计算方法的正确性。进一步，本文分析了层合圆柱壳两端弹性边界条件对层合圆柱壳固有频率的影响，给出了层合圆柱壳三个方向的机械阻抗曲线，并研究了弹性边界对机械阻抗的影响。研究发现，两端弹性刚度增加，固有频率升高，机械阻抗共振峰向高频移动。本文的研究结果可为工程中层合圆柱壳的声学设计提供参考。

Abstract

With the increasing application of composite materials, their vibration characteristics have become a hot topic in related engineering and academic research. This article is based on the laminated theory and uses the spectral element method to establish a dynamic calculation model for laminated cylindrical shells, providing the dynamic stiffness matrix of laminated cylindrical shells. The correctness of the calculation method in this paper was verified by comparing it with the natural frequency and vibration displacement curve calculated by finite element method. Furthermore, this article analyzes the effects of elastic boundary stiffness at both ends on the natural frequency of laminated cylindrical shells. Mechanical impedance curves of laminated cylindrical shells in three directions are provided, and the influence of elastic boundaries on mechanical impedance is studied. Research has found that as the elastic stiffness at both ends increases, the natural frequency rises and the mechanical impedance resonance peak shifts towards higher frequencies. The research results of this article can provide reference for the acoustic design of laminated cylindrical shells in engineering.

导出引用

吴江海1, 2, 朱真慧1, 胡东森1, 段勇1, 2, 尹志勇1, 2. 基于谱元法的任意边界层合圆柱壳振动特性分析[J]. 振动与冲击, 2025, 44(9): 37-44

WU Jianghai1, 2, ZHU Zhenhui1, HU Dongsen1, DUAN Yong1, 2, YIN Zhiyong1, 2. Vibration characteristics analysis of laminated cylindrical shell with arbitrary boundary using spectral element method[J]. Journal of Vibration and Shock, 2025, 44(9): 37-44

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