Nonlinear Elastic Nonuniform Torsion
Nonlinear Elastic Nonuniform Torsion
复制标题
非线性弹性非均匀扭转
DOI：
10.1061/(asce)0733-9445(2005)131:7(1135
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
N. Trahair
中科院分区：
文献类型：
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作者：
N. Trahair
本文研究了弹性薄壁开口梁的大扭转问题，该扭转引起附加纵向应力，从而产生非线性“瓦格纳”刚化力矩。首先分析了矩形窄梁的非线性行为，然后将其推广到一般截面的弹性梁。推导了窄矩形截面、双对称工字形截面和单对称等角截面的非线性瓦格纳截面常数的表达式。本文介绍了分析非线性扭转问题的通用有限元法，并编制了计算程序FENLT。该程序能分析一般截面梁在集中力矩、分布力矩和集中双力矩的任意组合作用下，沿其长度方向沿着各点可防止扭转或翘曲的情况。通过与一些简单算例的封闭形式或数值解的比较，验证了该程序的有效性。
This paper is concerned with large twist rotations of elastic thin-walled open section beams that induce additional longitudinal stresses, which exert nonlinear “Wagner” stiffening torques. The nonlinear behavior of a narrow rectangular beam is first analyzed and then extended to elastic beams of general cross section. Expressions are derived for the nonlinear Wagner section constants for narrow rectangular sections, doubly symmetric I sections, and monosymmetric equal angle sections. A general finite element method of analyzing nonlinear torsion is described, and used to develop a computer program FENLT. This program can analyze a beam of general cross section under any combination of concentrated and distributed torques and concentrated bimoments, and which may be prevented from twisting or warping at points along its length. The program is validated by comparison with closed form or numerical solutions for a number of simple examples.