Vibration Analysis of Multistage Gear System Including Drive Mechanism Elements: 1 st Report, Proposal of Three Dimentional Vibration Model and Eigenvalue Analysis of Helical Gear System

Eiichiro Tanaka, Naoyuki Tanaka, Kousaku Ohno

Research output: Contribution to journalArticle


The increasing demand for quiet gears has created an increasing demand for precise analysis of gear drive vibration. There has been a lot of research on gear vibration analysis; most of which was dealt with a single gear pair. This report shows a new method for building a vibration model for an actual gear drive system. Each gear has six degrees of freedom; three translational motions and three swing motions. Stiffness matrixes for each gear shaft and for tooth meshing were made and overlapped into a stiffness matrix for the total system. This enabled easy modelling of the complex gear drive systems; such as multistage gears and branched gears. The results are in good agreement with experimental results with respect to the major resonance frequencies and vibration modes.

Original languageEnglish
Pages (from-to)2006-2013
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Issue number633
Publication statusPublished - 1999 Jan 1
Externally publishedYes



  • Coupled Vibration
  • Eigenvalue Analysis
  • Gear
  • Modelling
  • Multistage Gear
  • Vibration of Mechanism

ASJC Scopus subject areas

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

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