| 薄壁杆弹塑性弯扭失稳的有限单元解法 |
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| 引用本文： | 丁宽,沈祖炎.薄壁杆弹塑性弯扭失稳的有限单元解法[J].同济大学学报(自然科学版),1986(4). |
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| 作者姓名： | 丁宽 沈祖炎 |
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| 作者单位： | 同济大学结构工程系
(丁宽)，同济大学结构工程系(沈祖炎) |
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| 摘 要： | 本文运用开口薄壁构件弯扭理论及虚功原理,导出了非弹性梁-柱单元的有限元全量平衡方程,并考虑了应变非单调变化、初弯曲、残余应力以及端部约束的影响,避免了目前仅用增量平衡方程所带来的一些不便。经试验结果验证,本方法用来计算等截面构件及阶形柱在任意加载次序下的弹塑性弯扭稳定问题具有良好的精度。
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| 关 键 词： | 钢结构 薄壁梁柱 非弹性稳定 有限元方法 |
Finite Element Solution of Inelastic Flexural-Torsional Instability of Thin-Walled Beam-Columns |
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| Ding Kuan,Shen Zuyan.Finite Element Solution of Inelastic Flexural-Torsional Instability of Thin-Walled Beam-Columns[J].Journal of Tongji University(Natural Science),1986(4). |
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| Authors: | Ding Kuan Shen Zuyan |
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| Institution: | Ding Kuan;Shen Zuyan Department of Structural Engineering |
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| Abstract: | In this paper finite element total equilibrium equations for an Inelastic beamcolumn element are derived by using the principle of virtual work and the flexuraltorsional theory of thin-walled open cross-section members. The effect of fiber strain reversal is involved. The influences of residual stresses, initial crookednessand end restraint are also taken into account. Some disadvantages caused by usingincremental equilibrium equations are avoided. A corresponding computer programis developed. Experimental results verify that the method presented in this papercan be applied to the analysis of inelastic flexural-torsional instability of biaxillyloaded thin-walled prismatic or stepped beam-columns under arbitrary loading pathwith satisfactory accuracy. |
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| Keywords: | Steel structure Thin-walled beam column Inelastic stability Finite element metood |
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