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具有部分对称性结构固有频率间的可插值规律
引用本文:汪时奇. 具有部分对称性结构固有频率间的可插值规律[J]. 振动工程学报, 1989, 0(1)
作者姓名:汪时奇
作者单位:上海模具技术研究所
摘    要: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。

关 键 词:动力学  固有频率  插值  特征问题

Interpolatable Rule Concerning the Eigenfrequencies of Partially Symmetrical Structures
Wang Shiqi. Interpolatable Rule Concerning the Eigenfrequencies of Partially Symmetrical Structures[J]. Journal of Vibration Engineering, 1989, 0(1)
Authors:Wang Shiqi
Affiliation:Shanghai Institute of Tool and Die Technology
Abstract: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 frequencycan 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 timecan be greatly saved by using interpolation.
Keywords:dynamics  natural frequency  interpolation  eigen problem
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