Forced Vibration Analysis of a Nonlinear Structure Connected in Series: (2nd Report, Treatment for a Piecewise Linear System and Numerical Computational Results)

Takahiro Kondou, Atsuo Sueoka, Hironobu Tanaka, Takumi Inoue, Takahiro Ryu, Takashi Ayabe

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A numerical computational method is suggested for the nonlinear analysis of a piecewise linear system including a system with clearances which is often found in practical mechanical structures. When this method is combined with the analytical method for the nonlinear system based on the concept of harmonic balance, the piecewise linear system is analyzed with high accuracy. The validity of the incremental transfer influence coefficient method formulated in the previous report for the structure connected in series is verified by the numerical computational results for some examples, as compared with those of the incremental harmonic balance method and the incremental transfer matrix method. As a result, it was confirmed that the incremental transfer influence coefficient method was the most effective among the three methods as the degrees of freedom of the structure treated become large and the accuracy of an approximate solution becomes high.

Original languageEnglish
Pages (from-to)1343-1351
Number of pages9
JournalTransactions of the Japan Society of Mechanical Engineers Series C
Volume58
Issue number549
DOIs
Publication statusPublished - Jan 1 1992
Externally publishedYes

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Vibration analysis
Linear systems
Transfer matrix method
Nonlinear analysis
Computational methods
Nonlinear systems

All Science Journal Classification (ASJC) codes

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

Cite this

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AU - Sueoka, Atsuo

AU - Tanaka, Hironobu

AU - Inoue, Takumi

AU - Ryu, Takahiro

AU - Ayabe, Takashi

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