东南大学学报（自然科学版）Issue(5)：1062-1067,6.DOI:10.3969/j.issn.1001-0505.2013.05.027
基于广义梁理论的薄壁圆柱壳稳定性分析
Stability analysis of thin-walled cylindrical shells based on generalised beam theory
摘要
Abstract
The generalised beam theory, which is widely applied to thin-walled prismatic shaped shells, is extended to conduct the stability analysis of a thin-walled cylindrical shell.Based on the orthogonal symmetric displacement function and considering the influence of the cross sectional dis-tortion warp, the formulation of the critical stress is obtained by the energy method.Therefore, a new method for the stability analysis of cylindrical shells is proposed and relationships among the critical buckling stresses of the shells with different slenderness ratios, length and thickness are fur-ther studied.The results show that the critical stress decreases with the increase in the length of the shell with local minimum values corresponding to the critical stress of different buckling modes.The critical stress increases when the thickness of the shells increases.The results from the proposed method has good agreement with those from the finite element simulations and results from other re-searchers, which demonstrates that the application of the generalised beam theory to the stability analysis of thin-walled cylindrical shells is effective.关键词
薄壁圆柱壳/广义梁理论/临界应力/稳定性分析Key words
thin-walled cylindrical shell/generalised beam theory/critical stress/stability analysis分类
航空航天引用本文复制引用
谭福颖,乔玲,韩晓林..基于广义梁理论的薄壁圆柱壳稳定性分析[J].东南大学学报（自然科学版）,2013,(5):1062-1067,6.基金项目
国家自然科学基金资助项目（10902024）、教育部新世纪优秀人才支持计划资助项目（NCET-11-0086）、江苏省自然科学基金资助项目（BK2010397）、航空科学基金资助项目（20090869009）． （）
