| 无单元法分析薄板自由振动问题 |
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| 引用本文： | 秦雅菲,张伟星. 无单元法分析薄板自由振动问题[J]. 力学与实践, 2003, 25(5): 37-40 |
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| 作者姓名： | 秦雅菲 张伟星 |
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| 作者单位： | 青岛建筑工程学院,青岛,266033 |
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| 摘 要： | 提出了分析四边简支和四边固定薄板自由振动问题的无单元法，推导了无单元法的插值函数，从变分原理出发导出薄板自由振动的质量矩阵和刚度矩阵，编制了相应的计算程序，通过计算实例与其它方法的结果进行比较．数值结果表明无单元法具有一系列优点。
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| 关 键 词： | 无单元法 薄板 自由振动 插值函数 质量矩阵 刚度矩阵 变分原理 |
| 修稿时间： | 2002-05-17 |
ANALYSIS OF FREE VIBRATION OF THIN PLATES BY THE ELEMENT-FREE METHOD |
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| QIN Yafei ZHANG Weixirig. ANALYSIS OF FREE VIBRATION OF THIN PLATES BY THE ELEMENT-FREE METHOD[J]. Mechanics and Engineering, 2003, 25(5): 37-40 |
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| Authors: | QIN Yafei ZHANG Weixirig |
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| Abstract: | The element-free method for the vibration of simply supported and fixed end thin plates is presented in this paper. The shape function of the element-free method is introduced. The mass and stiff matrices for the free vi- bration of plates are derived by using the variational prin-ciple. Numerical examples are given and compared with other inethods. It shows that this method has a number of advaiitages. |
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| Keywords: | element-free rnethod thin plates free vibration shape function variational principle |
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