噪声与振动控制Issue(6)：29-32,4.DOI:10.3969/j.issn.1006-1335.2014.06.007
薄壁圆柱壳在纯弯曲下的非线性自由振动
Nonlinear Free Vibration of Thin-walled Cylindrical Shells under Pure Bending
顾建祖 1欧晓林 1李龙元 2虞波 1李康1
作者信息
- 1. 江苏大学 土木工程与力学学院，江苏 镇江 212013
- 2. 普利茅斯大学 海洋科学与工程学院，普利茅斯 英国 PL48AA
- 折叠
摘要
Abstract
The non-linear free vibration of thin-walled cylindrical shells under pure bending is analyzed. Based on the modified Brazier simple theory, deformation of the shell subjected to pure bending can be simplified to two stages. One is that the sections of the shell become elliptic but its axis remains straight; the other is the transverse bending deformation with the shell regarded as a beam with variable elliptic sections. The strain energy of the shell can be obtained based on the Brazier simple theory, and the non-linear free vibration equation of the thin-walled cylindrical shells will be derived by the Lagrange equation. As a result, the free vibration frequency is obtained, and the linear and nonlinear solutions are compared mutually.关键词
振动与波/自由振动/非线性/拉格朗日方程Key words
vibration and wave/free vibration/nonlinearity/Lagrange equation分类
数理科学引用本文复制引用
顾建祖,欧晓林,李龙元,虞波,李康..薄壁圆柱壳在纯弯曲下的非线性自由振动[J].噪声与振动控制,2014,(6):29-32,4.
