平面高阶非协调动态有限元法

INCOMPATIBLE FINITE DYNAMIC ELEMENT METHOD FOR HIGHER ORDER PLANE ELEMENT

Changsha Railway University, Changsha 410075;2. Southwest Jiao Tong University, Chengdu 610031

摘要: 本文通过引入非协调动态位移模式,从能量泛函出发,在文[5]的基础上进一步导出了平面高阶非协调动态有限元列式,建立了一个新的平面高阶8-节点非协调动态有限单元(NDF8).进行了典型的数值算例验证,并与已有的结果比较,证明本文理论正确,计算精度高,方法简单、易行、有效。
- 有限元法 /
- 动态有限元法 /
- 振动 /
- 频率
Abstract: Based on energy formulation and with the inclusion of high order incompatible dynamic displacement, an incompatible formulation of finite dynamic element for higher order plane element is developed, a new higher order plane 8 node element (NDF8) is derived and numerically tested. It exhibits markable characteristic behavior with enhanced computational accuracy and easy to implement in dynamic structural analysis.
- finite element method /
- dynamic finite element method /
- free vibration /
- frequency