薄壁钢构件非线性稳定问题的曲壳有限单元法  

CURVED SHELL FINITE ELEMENT METHOD FOR NONLINEAR STABILITY PROBLEMS OF THIN-WALLED STEEL MEMBERS

作　　者：沈祖炎[1] 张其林[1] 

机构地区：[1]同济大学

出　　处：《土木工程学报》1991年第1期32-43,共12页China Civil Engineering Journal

基　　金：国家自然科学基金

摘　　要：笔者将薄壁钢构件作为柱形薄壳组合结构,导出了分析薄壁钢构件各类非线性稳定问题的曲壳有限单元法。对于过去种种板壳有限单元法分析梁柱构件时很难解决的一些问题,本文分别导出了一些特殊方法给予了有效的处理。本文方法适用于具有任意截面形式和任意边界条件的薄壁钢构件弹塑性整体稳定问题的分析,以及薄壁构件的整体稳定-局部稳定相互作用问题的分析。分析时,可计入任意形式的初始缺陷的影响,可以考虑任意形式的加载方式以及弹塑性区域内的加卸载现象。经比较,证明本文方法具有极高的精度。A curved shell finite element method is presented in this paper to analyse the nonlinear stability problems of thin-walled steel members which are treated as thin shell structures. Special techniques are deduced to overcome some serious obstacles in the plate or shell finite element methods formerly used in dealing with steel beam-columns.The theoretical method of this paper can solve the elastoplastic overall stability problems and the overall and local interactive instability problems of thin-walled steel members with arbitrary sections and arbitrary boundary conditions.The effects of all initial imperfections,the influence of different loading procedures as well as the effects of loading, unloading and reloading in elastoplastic regions can be taken into account in analysis. In comparison with the results of other calculation methods and experiments, high accuracy of the present method has been verified.

关 键 词：薄壁型 型钢 构件 非线性 曲壳 

分 类 号：TU392.101[建筑科学—结构工程]