An enhanced argument principle algorithm for exact complex transcendental eigenvalue analysis of damped structures

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成果类型：

期刊论文

作者：

Liu, Xiang;Tang, Dalun;Liu, Xiao

通讯作者：

Liu, X

作者机构：

[Liu, Xiang; Tang, Dalun] Cent South Univ, Sch Traff & Transportat Engn, Key Lab Traff Safety Track, Minist Educ, Changsha, Peoples R China.

[Liu, Xiang; Tang, Dalun] Cent South Univ, Joint Int Res Lab Key Technol Rail Traff Safety, Changsha, Peoples R China.

[Liu, Xiang; Tang, Dalun] Cent South Univ, Natl & Local Joint Engn Res Ctr Safety Technol Rai, Changsha, Peoples R China.

[Liu, Xiao] Changsha Univ Sci & Technol, Sch Automot & Mech Engn, Changsha, Peoples R China.

通讯机构：

[Liu, X ] C

Cent South Univ, Sch Traff & Transportat Engn, Key Lab Traff Safety Track, Minist Educ, Changsha, Peoples R China.

Cent South Univ, Joint Int Res Lab Key Technol Rail Traff Safety, Changsha, Peoples R China.

Cent South Univ, Natl & Local Joint Engn Res Ctr Safety Technol Rai, Changsha, Peoples R China.

Changsha Univ Sci & Technol, Sch Automot & Mech Engn, Changsha, Peoples R China.

语种：

英文

关键词：

Complex eigenvalue;Enhanced argument principle algorithm;Dynamic stiffness method;Generalized damping model

期刊：

Journal of Sound and Vibration

ISSN：

0022-460X

年：

2025

卷：

595

页码：

118751

DOI：

10.1016/j.jsv.2024.118751

基金类别：

National Key R&D Program of China [2022YFB4301201, 2022YFB4301202]; Natural Science Foundation of Hunan Province, China [2022JJ30729]

机构署名：

本校为通讯机构

院系归属：

汽车与机械工程学院

摘要：

An efficient and reliable complex transcendental eigenvalue algorithm is proposed for exact modal analysis of built-up structures with a generalized damping model. First, the exact damped dynamic stiffness (DDS) formulations for structural elements with frequency-dependent generalized damping models are developed, which can be assembled directly to model complex built-up structures exactly in the frequency domain. An enhanced argument principle algorithm (EAPA) is then proposed to calculate all complex eigenvalues (either distinct or repeated, up to the arbitrarily required precision) within a...

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An enhanced argument principle algorithm for exact complex transcendental eigenvalue analysis of damped structures

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