摘要
运用含有固有频率的动态形函数矩阵的动态有限单元法进行结构动力分析,可改善其精度,提出了一种隐含形式的公式推导方法,建立和推导了二维动态任意四边形单元和三维动态六面体单元,通过算例分析显示了动态有限单元法结构动力分析的合理性和所做理论工作的正确性。
Studying the vibration analysis of structures by the finite dynamic element method (DEM) which applies the dynamic shape-function involuing the natural frequency can make a significant improvement in accuracy. The theoretical deduction with the impllcit formulation presented in this paper is used to estabilish the 2-dimensional quadranglar dynamic element and the 3-dimensional hexahedral dynamic element. And two examples are given to illustrate the reasonableness of the structural dynamic analysis by the DEM and the correctness of the theoretics herein.
关键词
结构
自振特性
动态
有限元法
finite dynamic element method (DEM)
finite element method (FEM)
dynamic shape-function matrix
2-dimensional quadranglar dynamic element
3-dimensional hexahedral dynamic element
natural uibration characteristic