摘要
为了改进三维动态有限元的应用,在文献的基础上,本文建立了一种类等参三维动态有限元。这种单元的动态位移形函数是在局部坐标系下形成的,使得其单元刚度矩阵和质量矩阵的形成与一般等参单元的方法相一致,便于应用,与文献[1]相比具有简单、明了的优点。通过算例分析,验证了本文理论结果的正确性和合理性。
In order to improve the application of the 3-D finite dynamic element, a isoparametric-anatogous finite dynamic element is establishand its theoretical deduction is carried out in this paper, basing on the study of the reference [1]. The dynamic shape functions of the clement are formed in local coordinate system; so that the procedure to construct the stiffness and mass matrices of the dynamic element is similar to that of the isoparametric element and convenient to application. Compared with the finitedynamic element established in the reference [1], the dynamic element hereinhas simple and clear advantages. A numerical example is given to verify the correctness of the results of the theoretical deduction.
关键词
动态有限元
动态形函数
类等参
等参单元
振动分析
finite dynamic element, dynamic shape function, isoparametric-analogous, isoparametric element
