STANDING WAVES IN A SIMPLE MODEL OF A ROTATING BALLOON TIRE

Anindya Chatterjee, Joseph P. Cusumano, John D. Zolock

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

We consider a simple one-dimensional model of a rotating balloon tire, with radial displacements, and with only one degree-of-freedom at each circumferential location. This model is motivated by our study of a small balloon tire in the laboratory, Cim model has linear material behavior, but the problem is rendered nonlinear due to contact between tire and ground. Analytical results are obtained by explicitly examining steady state solutions to the nonlinear boundary value problem. The results from the model predict standing waves that are qualitatively similar to those observed experimentally. The effects of adding a small beam term and small damping to the dominant membrane terms are discussed. Standing wave wavelengths and spatial attenuation rates are related to tire rotation speed. We discuss the way in which our treatment differs from other studies in the literature which use natural frequencies and mode shapes, or wave propagation ideas.

Original languageEnglish (US)
Title of host publicationRecent Advances in Solids/Structures and Application of Metallic Materials
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages235-243
Number of pages9
ISBN (Electronic)9780791818282
DOIs
StatePublished - 1997
EventASME 1997 International Mechanical Engineering Congress and Exposition, IMECE 1997 - Recent Advances in Solids/Structures and Application of Metallic Materials - Dallas, United States
Duration: Nov 16 1997Nov 21 1997

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume1997-AC

Conference

ConferenceASME 1997 International Mechanical Engineering Congress and Exposition, IMECE 1997 - Recent Advances in Solids/Structures and Application of Metallic Materials
Country/TerritoryUnited States
CityDallas
Period11/16/9711/21/97

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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