具有部分对称性结构固有频率间的可插值规律

Interpolatable Rule Concerning the Eigenfrequencies of Partially Symmetrical Structures

本文以文[1]为基础,通过群的同构关系,证明多种常用结构(如某些形状的环、杆、梁、板、壳等)满足可插直规律。插直结果既可作为计算终值,也可作为迭代初值。大量算例证实了本文所述规律的可靠性。运用插值将大幅度减少运算量。

By means of the group isomorphic correlation,based on the theory of refcrence [1],this paper has proved many elementary structures,such as trusses,beams, rings,plates and shells,to satisfy the interpolatable rule.Any interpolated frequency can be used as either the resultant one or the initial one in certain iteration.Ac- cording to many examples,the rules shown in this paper are reliable.CPU time can be greatly saved by using interpolation.