利用相应规则结构的结果计算近规则结构的频率

IF 1.4 4区工程技术 Q3 ENGINEERING, CIVIL

Periodica Polytechnica-Civil Engineering Pub Date : 2023-03-08 DOI:10.3311/ppci.21505

A. Kaveh, Nabi Khazaee

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引用次数: 1

摘要

本文提出了一种计算摄动矩阵初始状态和非摄动状态对应的特征值的方法。换句话说，不求解大小为(n x n)的摄动矩阵的特征值问题，只求解维数为(m x m)的矩阵的特征值问题就足够了，其中m小于n且它们的差(n - m)相当大。利用该方法计算了考虑相应规则结构的特征值和频率的近规则结构的特征值和频率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Frequencies of Near Regular Structures Using the Results of the Corresponding Regular Structures

In this paper a method is presented for calculating the eigenvalues of perturbed matrices corresponding to their initial and unperturbed state. In other word, instead of solving the eigenvalue problem of perturbed matrix with size (n x n), only it is sufficient to solve eigenvalue problem for a matrix with dimension (m x m) where m is less than n and their difference (n – m) is considerable. By means of this method, eigenvalues and frequencies of near regular structures considering those of the corresponding regular structures are calculated.

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来源期刊

Periodica Polytechnica-Civil Engineering 工程技术-工程：土木

CiteScore

3.40

自引率

16.70%

发文量

审稿时长

12 months

期刊介绍： Periodica Polytechnica Civil Engineering is a peer reviewed scientific journal published by the Faculty of Civil Engineering of the Budapest University of Technology and Economics. It was founded in 1957. Publication frequency: quarterly. Periodica Polytechnica Civil Engineering publishes both research and application oriented papers, in the area of civil engineering. The main scope of the journal is to publish original research articles in the wide field of civil engineering, including geodesy and surveying, construction materials and engineering geology, photogrammetry and geoinformatics, geotechnics, structural engineering, architectural engineering, structural mechanics, highway and railway engineering, hydraulic and water resources engineering, sanitary and environmental engineering, engineering optimisation and history of civil engineering. The journal is abstracted by several international databases, see the main page.