摘要
构造6节点三角形单元,适合于平面薄膜自由振动的有限元分析.文中采用面积坐标,给出单元的形函数,根据哈密顿原理建立薄膜自由振动方程,推导其单元刚度矩阵和单元质量矩阵.3个典型算例表明,6节点三角形单元的计算结果比ANSYS三角形单元更接近理论解,具有更高的精度.
A pre-tensioned 6-node triangular membrane element was constructed for the free vibration analysis of membranes by finite element. The shape functions, which were expressed by the area coordinate, were given to derive the element stiffness and mass matrices in accordance with the Hamilton principle. Three typical examples show that the results calculated by the 6-node triangular element are more close to the theoretical solution and are more accurate than the results of ANSYS.
出处
《动力学与控制学报》
2010年第3期202-206,共5页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(10972240)~~
关键词
平面薄膜振动
有限元分析
6节点三角形单元
free vibration of plane membrane
finite element analysis
6-node triangular element
