Analysis of the First Modal Shape Using Two Case Studies

被引：9

作者：

Wahrhaftig, Alexandre de Macedo ^{[1
]}

机构：

[1] Univ Fed Bahia, Polytech Sch, Dept Construct & Struct, Rua Aristides Novis,02,5 Andar Federacao, BR-4021091 Salvador, BA, Brazil

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2019年 / 16卷 / 06期

关键词：

Modal shape; computational simulation; mathematic functions; case studies;

D O I：

10.1142/S0219876218400194

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Eigenvector analysis can be performed to determine the shapes of the undamped free vibration modes of a system. Eigenvector analysis involves solving the generalized eigenvalue problem, which considers the stiffness and mass matrix of a structure. For a geometric nonlinear study, both parts of the total stiffness matrix are required. As modal analysis depends on the stiffness, the effect of its reduction on the modal shape of vibration of the structure must be determined. Case studies were evaluated using the finite element method, considering and neglecting the geometric portion of the stiffness matrix. Mathematic functions were applied for comparison.

引用

页数：14

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