| 黄文,李明瑞,黄文彬.杆系结构的几何非线性分析──Ⅱ．三维问题[J].计算力学学报,1995,12(2): |
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| 杆系结构的几何非线性分析──Ⅱ．三维问题 |
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| DOI：10.7511/jslx19952019 |
| 中文关键词: 杆系结构 有限元法／几何非线性 虚功增量方程 大位移，大转动 UL法 |
| 英文关键词:frame structures,finite element method/geometric non-linear,virtual work in-crement equation,large displacements and rotations,Updated Lagrangian for-mulation, |
| 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: 1636 |
| 全文下载次数: 3 |
| 中文摘要: |
| 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，导出了空间Ｔｉｍｏｓｈｅｎｋｏ梁大位移、大转动问题内力分析的ＵＬ法（ＵｐｄａｔｅｄＬａｇｒａｎｇｉａｉ１Ｆｏｒｍｕｌａｔｉｏｎ）。本文考虑了轴向、剪切、弯曲和扭转效应，提出了新的几何刚度矩阵，并建立了描述大转动规律的坐标转换矩阵。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 the virtual work increment equation for the three-dimensional continuum,in-terpolating the translations and rotations respectively,the Updated Lagrangian formulation for large displacements and rotations internal force analysis of space Timoshenko beam struc-tures is developed.Considering the effect of axial,shearing,flecxural and torsional deforma-tions,a new type of geometric stiffness matrix is presented.The transformation rnatrix of co-ordinate was given for commutative law of large rotations.Numerical solution showed that the program devoloped by the proposed method 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 arbitrarily large rotations is able to be solved. |
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