Constrained optimization shooting method for finding the resonant peak of nonlinear systems

Hai Tao Liao; Ge Gao

Constrained optimization shooting method for finding the resonant peak of nonlinear systems

Hai Tao Liao^*
, Ge Gao

^*此作品的通讯作者

Chinese Aeronautical Establishment

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

The constrained optimization shooting method is presented to determine the resonant peak of nonlinear systems. The proposed method is obtained by a concatenation of 3 methods: the harmonic balance method (HBM) to turn the dynamical problem into an algebraic one, the Floquet theory to determine the solution stability and a MultiStart Algorithm to maximize the vibration amplitude. Finally, the effectiveness and ability of the proposed approach are illustrated through two numerical examples.

源语言	英语
页（从-至）	166-171
页数	6
期刊	Zhendong Gongcheng Xuebao/Journal of Vibration Engineering
卷	27
期	2
出版状态	已出版 - 4月 2014
已对外发布	是

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引用此

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title = "Constrained optimization shooting method for finding the resonant peak of nonlinear systems",

abstract = "The constrained optimization shooting method is presented to determine the resonant peak of nonlinear systems. The proposed method is obtained by a concatenation of 3 methods: the harmonic balance method (HBM) to turn the dynamical problem into an algebraic one, the Floquet theory to determine the solution stability and a MultiStart Algorithm to maximize the vibration amplitude. Finally, the effectiveness and ability of the proposed approach are illustrated through two numerical examples.",

keywords = "Floquet theory, Nonlinear vibration, Periodic solution, Shooting method, The multistart algorithm",

author = "Liao, \{Hai Tao\} and Ge Gao",

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publisher = "Nanjing University of Aeronautics an Astronautics",

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T1 - Constrained optimization shooting method for finding the resonant peak of nonlinear systems

AU - Liao, Hai Tao

AU - Gao, Ge

PY - 2014/4

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N2 - The constrained optimization shooting method is presented to determine the resonant peak of nonlinear systems. The proposed method is obtained by a concatenation of 3 methods: the harmonic balance method (HBM) to turn the dynamical problem into an algebraic one, the Floquet theory to determine the solution stability and a MultiStart Algorithm to maximize the vibration amplitude. Finally, the effectiveness and ability of the proposed approach are illustrated through two numerical examples.

AB - The constrained optimization shooting method is presented to determine the resonant peak of nonlinear systems. The proposed method is obtained by a concatenation of 3 methods: the harmonic balance method (HBM) to turn the dynamical problem into an algebraic one, the Floquet theory to determine the solution stability and a MultiStart Algorithm to maximize the vibration amplitude. Finally, the effectiveness and ability of the proposed approach are illustrated through two numerical examples.

KW - Floquet theory

KW - Nonlinear vibration

KW - Periodic solution

KW - Shooting method

KW - The multistart algorithm

UR - https://www.scopus.com/pages/publications/84901612628

M3 - Article

AN - SCOPUS:84901612628

SN - 1004-4523

VL - 27

SP - 166

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JO - Zhendong Gongcheng Xuebao/Journal of Vibration Engineering

JF - Zhendong Gongcheng Xuebao/Journal of Vibration Engineering

IS - 2

ER -

Constrained optimization shooting method for finding the resonant peak of nonlinear systems

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