圆柱壳高频弯曲振动的能量有限元分析

解妙霞; 陈花玲; 吴九汇

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圆柱壳高频弯曲振动的能量有限元分析

专题研究 | 更新时间：2025-07-09

- 圆柱壳高频弯曲振动的能量有限元分析
- Energy Finite Element Analysis to High-Frequency Bending Vibration in Cylindrical Shell
- 西安交通大学学报 2008年42卷第9期页码：1113-1116
- 作者机构：
  
  西安交通大学振动与噪声控制研究所,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  中图分类号： TB123
- 网络首发：2008-09-10，
  
  纸质出版：2008
- 稿件说明：
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解妙霞, 陈花玲, 吴九汇. 圆柱壳高频弯曲振动的能量有限元分析[J]. 西安交通大学学报, 2008,42(9):1113-1116.

Energy Finite Element Analysis to High-Frequency Bending Vibration in Cylindrical Shell[J]. 2008, 42(9): 1113-1116.
解妙霞, 陈花玲, 吴九汇. 圆柱壳高频弯曲振动的能量有限元分析[J]. 西安交通大学学报, 2008,42(9):1113-1116. DOI：

Energy Finite Element Analysis to High-Frequency Bending Vibration in Cylindrical Shell[J]. 2008, 42(9): 1113-1116. DOI：

摘要

为了利用能量有限元方法得到圆柱壳体任意一点的高频振动响应

根据薄壳理论和能量平衡关系

推导了圆柱壳弯曲振动能量密度的控制方程

并运用有限元方法对圆柱壳弯曲振动能量密度的控制方程进行了求解.计算了3种不同激励下圆柱壳的能量密度分布

并对能量有限元方法和统计能量方法的计算结果进行了比较.有限元方法的分析表明

使用能量有限元方法能够获得更详细的结构振动响应信息

而用统计能量法只能得到整个圆柱壳体的平均能量信息

推导得出的能量密度方程与梁的能量密度方程类似

只适用于计算圆柱壳高频轴对称弯曲的振动响应.

Abstract

To obtain detail information of high-frequency vibration in cylindrical shell

the governing equation of energy density about bending vibration in cylindrical shell is developed based on the relationship of an energy balance and thin shell theory. A deduced second order equation models the far field energy distribution. The resulting equation is solved by means of finite element method. A comparison between the results of energy finite element analysis and statistical energy analysis indicates that the energy finite element analysis enables to get more detail information of high-frequency vibration. This governing equation is similar to the beam equation for only high-frequency axisymmetric bending vibration response of cylindrical shell.

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references

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吴成军,陈花玲,黄协清.浸没圆柱薄壳远场辐射声场的理论预估 [J].西安交通大学学报,1999,33(1):107-110.

WU Chengjun, CHEN Hualing, HUANG Xieqing. Theoretical prediction of sound radiation at far field for a submerged cylindrical shell[J]. Journal of Xi'an Jiaotong University,1999,33(1):107-110.

伍先俊,朱石坚,曹建华.结构声振研究的功率流方法[J].力学进展,2006,36(3):363-372.

WU Xianjun, ZHU Shijian, CAO Jianhua. Review on structural vibration power flow prediction methods [J].Advances in Mechanics,2006,36(3):363-372.

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何福保,沈亚鹏.板壳理论 [M].西安:西安交通大学出版社,1993:310-312.

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