圆柱壳结构受迫振动特性分析

庞福振,彭德炜,李海超,田宏业,单衍贺

振动与冲击 ›› 2019, Vol. 38 ›› Issue (16) : 7-13.

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (16) : 7-13.
论文

圆柱壳结构受迫振动特性分析

  • 庞福振,彭德炜,李海超,田宏业,单衍贺
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Forced vibration characteristics analysis of a cylindrical shell structure

  • PANG Fuzhen,PENG Dewei,LI Haichao,TIAN Hongye,SHAN Yanhe
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文章历史 +

摘要

利用半解析法研究了圆柱壳的振动特性。首先基于区域能量分解法和Reissner-Naghdi’s线性薄壳理论,将柱壳在沿壳体的母线方向将其分解为若干子壳段,并推导出适合一般边界条件下圆柱壳的求解模型。其中,柱壳结构的位移函数采用Chebyshev行列式和傅里叶级数进行展开,并引入最小二乘残差来消除计算的不稳定性。最后,对柱壳结构进行受迫振动特性分析,并通过与有限元仿真计算结果对比验证了本文方法的正确性,研究了边界条件和结构参数的改变对圆柱壳受迫振动特性的影响。

Abstract

The vibration characteristics of cylindrical shells are studied by a semi analytical method.Firstly, based on the theory of regional energy decomposition and the Reissner-Naghdi’s linear thin shell theory, a cylindrical shell structure was divided into several shell segments along the radial direction, and the solution model of the cylindrical shell structure under general boundary conditions was derived.The displacement function of the cylindrical shell structure was expanded by Chebyshev determinant and Fourier series, and the Least-square residuals were introduced to eliminate computational instability.Finally, the forced vibration characteristics of the cylindrical shell structure were analyzed, and the correctness of the method was verified by finite element simulation calculations.The influence of boundary conditions and characteristics of cylindrical shell structures on the forced vibration characteristics of cylindrical shells was studied.

关键词

圆柱壳 / 区域能量分解 / 受迫振动 / 边界条件

Key words

cylindrical shell / regional energy decomposition / forced vibration / boundary condition

引用本文

导出引用
庞福振,彭德炜,李海超,田宏业,单衍贺. 圆柱壳结构受迫振动特性分析[J]. 振动与冲击, 2019, 38(16): 7-13
PANG Fuzhen,PENG Dewei,LI Haichao,TIAN Hongye,SHAN Yanhe. Forced vibration characteristics analysis of a cylindrical shell structure[J]. Journal of Vibration and Shock, 2019, 38(16): 7-13

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