力学与实践 ›› 2015, Vol. 37 ›› Issue (1): 86-90,78.DOI: 10.6052/1000-0879-14-089

• 应用研究 • 上一篇    下一篇

纯弯曲下薄壁圆柱壳屈曲的非线性分析

欧晓林1,2, 顾建祖1, 李龙元3, 骆英1, 李康1, 虞波1   

  1. 1. 广东技术师范学院天河学院, 广州 510540;
    2. 江苏大学土木工程与力学学院, 江苏镇江 212013;
    3. 普利茅斯大学海洋科学与工程学院, 英国普利茅斯 PL4 8AA
  • 收稿日期:2014-04-03 修回日期:2014-05-16 出版日期:2015-02-15 发布日期:2015-02-14
  • 通讯作者: 欧晓林,E-mail:876309002@qq.com

NONLINEAR BENDING RESPONSE OF THIN-WALLED CYLINDRICAL SHELLS UNDER PURE BENDING

OU Xiaolin1,2, GU Jianzu1, LI Longyuan3, LUO Ying1, LI Kang1, YU Bo1   

  1. 1. Tianhe College of Guangdong Polytechnic Normal University, Guangdong 510540, China;
    2. Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, Jiangsu, China;
    3. Ocean Science and Engineering, University of Plymouth, Plymouth PL4 8AA, UK
  • Received:2014-04-03 Revised:2014-05-16 Online:2015-02-15 Published:2015-02-14

摘要:

为解决薄壁圆柱壳在纯弯曲下由于横截面的椭圆化而引起的屈曲几何非线性问题. 基本假设是改良的Brazier 简单理论,把圆柱壳的纯弯曲变形简化成一个两阶段的过程,分别求得纵向弯曲变形应变能和横截面变形应变能,然后利用最小势能原理求出作用力矩与杆端旋转角度的关系,最后分析可知:壳体长度参数越小,对应的圆柱壳壁越薄,非线性的影响越大;剪力大小参数越小,边界条件对椭圆化变形影响越小,非线性的影响越大.

关键词:

薄壁圆柱壳|纯弯曲|非线性|最小势能原理

Abstract:

This paper focuses on solving the problem of geometrically nonlinear buckling of thin-walled cylin- drical shells under pure bending with the cross-section tending to be oval-shaped. The basic hypothesis is based on the modified Brazier simple theory that the deformation of a shell under pure bending can be simplified as a two-stage process. By the two-stage process, the longitudinal bending strain energy and the cross-sectional deformation strain energy are obtained. The relationship between the end-rotation and the applied moment is obtained through the principle of the minimum potential energy. It is shown that: the smaller the shell length parameters and the thinner the corresponding cylindrical shell wall, the greater the impact of nonlinearity will be; the smaller the shear length parameters and the smaller the effect of the boundary conditions on the deformation leading to oval section shape, the greater the impact of nonlinearity will be.

Key words:

thin-walled cylindrical shells|pure bending|nonlinearity|the principle of minimum potential energy

中图分类号: