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空间几何构造分析的有限单元法
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下一篇 2008-07-06 15:36:41
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| 叶康生1;袁驷1 |
清华大学土木 工程系 袁驷 100084 Tel:62786185,62773547 1 |
收稿日期2001-8-6 修回日期 网络版发布日期 2008-1-10 接受日期 |
摘要 提出空间杆系几何构造分析的有限单元法，构造了两种单元(链杆单元和准梁单元)的几何约束矩阵，集成为整体矩阵并引入支承条件后，通过对其阶数与秩的比较分析确定体系的几何可变性及静定性.本法原理简单，便于计算机实施，结果完备：对于几何不变体系，可指出多余约束的数目；对于几何可变体系，可给出体系的自由度数及相应的运动模态，并确定自由度的常变瞬变性质.
关键词 有限元法, 空间杆系, 几何构造, 单元分析, 几何约束矩阵
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| 分类号 |
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THE FINITE ELEMENT METHOD FOR SPACE GEOMETRIC STABILITY ANALYSIS |
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Abstract
In this paper, the finite element method was applied to geometric stability analysis of three-dimensional skeletal structures. Two types of element geometric constraint matrices were derived. After assembling element matrices to form. the corresponding global matrix and emposing the required displacement constraints, the geometric stability of a system can be analyzed by comparing the order and rank of the global geometric matrix. The method is found to be simple in concept, easy in implementation on a computer and complete in its computed results. For example, for geometrically stable systems, the number of redundant constraints is easily available, and for geometrically unstable system, the number of degrees of freedom (DOF) of the system and the corresponding displacement modes can also easily be calculated. | |
| Key words FEM 3D skeletal structures geometric stability element analysis geometric constraint matrix |
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