| 黄文,李明瑞,黄文彬.杆系结构的几何非线性分析──Ⅰ．平面问题[J].计算力学学报,1995,12(1): |
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| 杆系结构的几何非线性分析──Ⅰ．平面问题 |
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| DOI：10.7511/jslx19951002 |
| 中文关键词: 杆系结构／几何非线性，虚功增量方程，大位移，大转动，UL法 |
| 英文关键词:framed stuctures/geometric non-linear,virtual work increment equation,large displacements and rotations,Updated Lagrangian formulation, |
| 基金项目:高校博士点基金 |
| 黄文 李明瑞 黄文彬 |
| 北京农业工程大学 |
| 摘要点击次数: 1595 |
| 全文下载次数: 3 |
| 中文摘要: |
| 本文以三维连续体的虚功增量方程为基础，采用平动、转角位移分别插值的方法，导出了梁结构大位移、大转动问题内力分析的ＵＬ法。本文考虑了轴向、剪切和弯曲效应，提出了新的几何刚度矩阵。算例表明，依本文方法编制的程序具有分析结构强几何非线性行为的能力；在满足本文位移假定（即每次加载增量中转角增量是小量）的条件下，可以描述任意大角度的刚体转动。 |
| 英文摘要: |
| Based on thevirtual workincrement equation for thethree-dimensional continuum,in-terpolating the translations and rotations respectively,the Updated Lagrangian forrnulationfor large displacements and rotations analysis of beam structures is developed .Consideredthe effect of axial.shearing and flexural deformations,a new type of geometric stiffness ma-trix is presented.Numerical solution showed that the program developed by the proposedmethod in this paper is available for the analysis of strong non-linear behavior of structures.Under the assumption of rotational increment in every step is small,problem of arbitrarilylarge rotions is able to be solved. |
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