| 薄膜横向振动的有限元分析 |
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| 引用本文： | 林文静,陈树辉.薄膜横向振动的有限元分析[J].应用力学学报,2011,28(1):44-49. |
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| 作者姓名： | 林文静 陈树辉 |
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| 作者单位： | 中山大学工学院应用力学与工程系,510275,广州 |
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| 摘 要： | 构造了一种3节点三角形膜单元,以适用于平面薄膜横向振动的有限元分析.在给出单元形函数的基础上,根据最小势能原理建立了薄膜自由振动方程,并推导了单元刚度矩阵和单元质量矩阵.研究结果表明,单元刚度矩阵和单元质量矩阵形式简单,且自由度少;通过两个典型算例,证明3节点三角形膜单元的计算结果非常接近理论解,同时可以达到很高的精度...
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| 关 键 词： | 薄膜横向振动 有限元分析 3节点三角形膜单元 固有频率 固有振型 |
A triangle element for finite element analysis of membranes |
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| Lin Wenjing,Chen Shuhui.A triangle element for finite element analysis of membranes[J].Chinese Journal of Applied Mechanics,2011,28(1):44-49. |
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| Authors: | Lin Wenjing Chen Shuhui |
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| Institution: | Lin Wenjing Chen Shuhui(Department of Applied Mechanics and Engineering,Sun Yat-sen University,510275,Guangzhou,China) |
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| Abstract: | A pre-tensioned 3-node triangular element is constructed for the free vibration analysis of membranes by finite element.The shape functions are given to derive the element stiffness and mass matrices in accordance with the minimum potential energy principle.The element stiffness and mass matrices are very simple in form with few degree-of-freedoms.Two typical examples show that the calculation results by the 3-node triangular element is very close to those of theoretical solution.It has high accuracy. |
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| Keywords: | transversal vibration of membrane finite element analysis 3-node triangular membrane element natural frequencies mode shapes |
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