贺国京, 陈大鹏. 平面高阶非协调动态有限元法[J]. 工程力学, 1998, 15(1): 23-29.
引用本文: 贺国京, 陈大鹏. 平面高阶非协调动态有限元法[J]. 工程力学, 1998, 15(1): 23-29.
He Guojing, Chen Dapeng. INCOMPATIBLE FINITE DYNAMIC ELEMENT METHOD FOR HIGHER ORDER PLANE ELEMENT[J]. Engineering Mechanics, 1998, 15(1): 23-29.
Citation: He Guojing, Chen Dapeng. INCOMPATIBLE FINITE DYNAMIC ELEMENT METHOD FOR HIGHER ORDER PLANE ELEMENT[J]. Engineering Mechanics, 1998, 15(1): 23-29.

平面高阶非协调动态有限元法

INCOMPATIBLE FINITE DYNAMIC ELEMENT METHOD FOR HIGHER ORDER PLANE ELEMENT

  • 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。

     

    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.

     

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