基于Donnell-Mushtari理论的弹性基础薄壁圆柱壳的稳态响应研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (6) : 21-27.

论文

杨永宝，危银涛1，李雪冰1，张新月2

作者信息 +

Forced vibration steady-state response of thin-walled cylindrical shell on elastic foundation based on Donnell-Mushtari theory

YANG Yongbao1,WEI Yintao1,LI Xuebing1,ZHANG Xinyue2

Author information +

文章历史 +

摘要

基于经典的Donnell-Mushtari柱壳理论，针对弹性基础上有径向预压力作用的薄壁圆柱壳的自由振动频率给出了相应的精确解，采用本文方法计算得到的结果与有关文献中的数据一致，误差较小。基于本文方法得到薄壁圆柱壳的自由振动频率及其对应模态振型后，进一步推导得到了弹性基础上薄壁圆柱壳的强迫振动稳态响应的计算公式。并在此基础上考察了所取基础模态数量及阻尼系数大小对于薄壁圆柱壳稳态响应的影响。文中算例所得计算结果及结论可为工程应用提供一定参考。

Abstract

Based on the DonnellMushtari shell theory, exact solutions to the free vibration frequency of a thinwalled cylindrical shell subjected to radial prepressure with elastic foundations at both ends were presented, and there is little difference between the results by this method and those available in the literature. With the free vibration frequency and modal shapes of the thinwalled cylindrical shell obtained by using this method, the formulas for forced vibration steadystate responses were developed. The influence of modal numbers and damping factor on steadystate responses of the thinwalled cylindrical shell has also been investigated. The results and conclusions of numerical examples can provide references for engineering applications.

导出引用

杨永宝,危银涛1，李雪冰1，张新月2. 基于Donnell-Mushtari理论的弹性基础薄壁圆柱壳的稳态响应研究[J]. 振动与冲击, 2018, 37(6): 21-27

YANG Yongbao1,WEI Yintao1,LI Xuebing1,ZHANG Xinyue2. Forced vibration steady-state response of thin-walled cylindrical shell on elastic foundation based on Donnell-Mushtari theory[J]. Journal of Vibration and Shock, 2018, 37(6): 21-27

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