Vibration Analysis of Rotors with a Fluid Balancer (1st Report, Shallow-Water Sloshing Analysis of Liquid in a Whirling Ring)

Masayuki Kasahara, Shigehiko Kaneko, Hiroshi Ishii

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This research deals with the vibration of rotors containing liquid, such as rotors of washing machines with a fluid balancer, and is intended to predict the occurrence of self-excited vibration and to evaluate some other characteristics of these rotors by analysis. We developed an analytical method using the assumption of shallow-water sloshing to predict the motion of liquid contained in a whirling ring, and made some calculations for various whirling rates. These calculations confirmed the validity of the method, and yielded following results. (a) Not only major resonances, but also secondary resonances peculiar to nonlinear systems occur when multiples of the exciting frequency correspond to natural frequencies of sloshing. (b) There are some isolated waves (or solitons) near resonance points, and the number of solitons changes when whirling rates changes slightly.

Original languageEnglish
Pages (from-to)1762-1768
Number of pages7
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume66
Issue number646
DOIs
Publication statusPublished - 2000 Jan 1
Externally publishedYes

Fingerprint

Liquid sloshing
Vibration analysis
Rotors
Solitons
Fluids
Liquids
Washing machines
Water
Nonlinear systems
Natural frequencies

Keywords

  • Fluid Balancer
  • Rotor Vibration
  • Shallow-Water Sloshing

ASJC Scopus subject areas

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

Cite this

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T1 - Vibration Analysis of Rotors with a Fluid Balancer (1st Report, Shallow-Water Sloshing Analysis of Liquid in a Whirling Ring)

AU - Kasahara, Masayuki

AU - Kaneko, Shigehiko

AU - Ishii, Hiroshi

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N2 - This research deals with the vibration of rotors containing liquid, such as rotors of washing machines with a fluid balancer, and is intended to predict the occurrence of self-excited vibration and to evaluate some other characteristics of these rotors by analysis. We developed an analytical method using the assumption of shallow-water sloshing to predict the motion of liquid contained in a whirling ring, and made some calculations for various whirling rates. These calculations confirmed the validity of the method, and yielded following results. (a) Not only major resonances, but also secondary resonances peculiar to nonlinear systems occur when multiples of the exciting frequency correspond to natural frequencies of sloshing. (b) There are some isolated waves (or solitons) near resonance points, and the number of solitons changes when whirling rates changes slightly.

AB - This research deals with the vibration of rotors containing liquid, such as rotors of washing machines with a fluid balancer, and is intended to predict the occurrence of self-excited vibration and to evaluate some other characteristics of these rotors by analysis. We developed an analytical method using the assumption of shallow-water sloshing to predict the motion of liquid contained in a whirling ring, and made some calculations for various whirling rates. These calculations confirmed the validity of the method, and yielded following results. (a) Not only major resonances, but also secondary resonances peculiar to nonlinear systems occur when multiples of the exciting frequency correspond to natural frequencies of sloshing. (b) There are some isolated waves (or solitons) near resonance points, and the number of solitons changes when whirling rates changes slightly.

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