Forced Vibration Analysis of a Nonlinear Structure Connected in Series (Stability Analysis Based on the Argument Principle)

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Abstract

It is a very difficult problem to determine the stability of the periodic steady-state vibrations generated in a large-sized nonlinear system with multiple degrees of freedom. In order to overcome such difficulty, a new practical method to accurately analyze the stability of the periodic solutions obtained from the method of harmonic balance is developed for a nonlinear structure connected in series. The present method is mainly based on the argument principle, and is applicable to the stability analysis of any multi-degree-of-freedom system excited parametrically. By introducing the same treatment as that of the incremental transfer influence coefficient method into the computation process of the present method, the computation speed is improved and the memory size required in the computation is considerably reduced.

Original languageEnglish
Pages (from-to)735-742
Number of pages8
JournalTransactions of the Japan Society of Mechanical Engineers Series C
Volume60
Issue number571
DOIs
Publication statusPublished - Jan 1 1994
Externally publishedYes

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Vibration analysis
Nonlinear systems
Data storage equipment

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

Cite this

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title = "Forced Vibration Analysis of a Nonlinear Structure Connected in Series (Stability Analysis Based on the Argument Principle)",
abstract = "It is a very difficult problem to determine the stability of the periodic steady-state vibrations generated in a large-sized nonlinear system with multiple degrees of freedom. In order to overcome such difficulty, a new practical method to accurately analyze the stability of the periodic solutions obtained from the method of harmonic balance is developed for a nonlinear structure connected in series. The present method is mainly based on the argument principle, and is applicable to the stability analysis of any multi-degree-of-freedom system excited parametrically. By introducing the same treatment as that of the incremental transfer influence coefficient method into the computation process of the present method, the computation speed is improved and the memory size required in the computation is considerably reduced.",
author = "Takahiro Kondou and Atsuo Sueoka and Takumi Inoue",
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AU - Kondou, Takahiro

AU - Sueoka, Atsuo

AU - Inoue, Takumi

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N2 - It is a very difficult problem to determine the stability of the periodic steady-state vibrations generated in a large-sized nonlinear system with multiple degrees of freedom. In order to overcome such difficulty, a new practical method to accurately analyze the stability of the periodic solutions obtained from the method of harmonic balance is developed for a nonlinear structure connected in series. The present method is mainly based on the argument principle, and is applicable to the stability analysis of any multi-degree-of-freedom system excited parametrically. By introducing the same treatment as that of the incremental transfer influence coefficient method into the computation process of the present method, the computation speed is improved and the memory size required in the computation is considerably reduced.

AB - It is a very difficult problem to determine the stability of the periodic steady-state vibrations generated in a large-sized nonlinear system with multiple degrees of freedom. In order to overcome such difficulty, a new practical method to accurately analyze the stability of the periodic solutions obtained from the method of harmonic balance is developed for a nonlinear structure connected in series. The present method is mainly based on the argument principle, and is applicable to the stability analysis of any multi-degree-of-freedom system excited parametrically. By introducing the same treatment as that of the incremental transfer influence coefficient method into the computation process of the present method, the computation speed is improved and the memory size required in the computation is considerably reduced.

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