Nonlinear Forced Vibration Analysis of a Three Dimensional Tree Structure by the Incremental Transfer Stiffness Coefficient Method

Takumi Sasaki, Takahiro Kondou, Takashi Ayabe

Research output: Contribution to journalArticle

Abstract

The incremental transfer stiffness coefficient method was developed, in the previous report, in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. By the incremental transfer stiffness coefficient method, the computation cost can be reduced remarkably from the iterative computation process of approximate solution. In this report, an algorithm based on the present method is formulated to analyze the longitudinal, flexural and torsional coupled vibration of the three dimensional tree structure supported by the nonlinear base support elements. In addition, the method of stability analysis using reduction model is applied to the periodic solution obtained for the three dimensional tree structure. The validity of the incremental transfer stiffness coefficient method and the method of stability analysis using reduction model for three dimensional tree structures is confirmed by the numerical computational results.

Original languageEnglish
Pages (from-to)2442-2449
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume67
Issue number660
DOIs
Publication statusPublished - Jan 1 2001
Externally publishedYes

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Vibration analysis
Stiffness
Costs

All Science Journal Classification (ASJC) codes

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

Cite this

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abstract = "The incremental transfer stiffness coefficient method was developed, in the previous report, in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. By the incremental transfer stiffness coefficient method, the computation cost can be reduced remarkably from the iterative computation process of approximate solution. In this report, an algorithm based on the present method is formulated to analyze the longitudinal, flexural and torsional coupled vibration of the three dimensional tree structure supported by the nonlinear base support elements. In addition, the method of stability analysis using reduction model is applied to the periodic solution obtained for the three dimensional tree structure. The validity of the incremental transfer stiffness coefficient method and the method of stability analysis using reduction model for three dimensional tree structures is confirmed by the numerical computational results.",
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AU - Sasaki, Takumi

AU - Kondou, Takahiro

AU - Ayabe, Takashi

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N2 - The incremental transfer stiffness coefficient method was developed, in the previous report, in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. By the incremental transfer stiffness coefficient method, the computation cost can be reduced remarkably from the iterative computation process of approximate solution. In this report, an algorithm based on the present method is formulated to analyze the longitudinal, flexural and torsional coupled vibration of the three dimensional tree structure supported by the nonlinear base support elements. In addition, the method of stability analysis using reduction model is applied to the periodic solution obtained for the three dimensional tree structure. The validity of the incremental transfer stiffness coefficient method and the method of stability analysis using reduction model for three dimensional tree structures is confirmed by the numerical computational results.

AB - The incremental transfer stiffness coefficient method was developed, in the previous report, in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. By the incremental transfer stiffness coefficient method, the computation cost can be reduced remarkably from the iterative computation process of approximate solution. In this report, an algorithm based on the present method is formulated to analyze the longitudinal, flexural and torsional coupled vibration of the three dimensional tree structure supported by the nonlinear base support elements. In addition, the method of stability analysis using reduction model is applied to the periodic solution obtained for the three dimensional tree structure. The validity of the incremental transfer stiffness coefficient method and the method of stability analysis using reduction model for three dimensional tree structures is confirmed by the numerical computational results.

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