TY - GEN
T1 - STANDING WAVES IN A SIMPLE MODEL OF A ROTATING BALLOON TIRE
AU - Chatterjee, Anindya
AU - Cusumano, Joseph P.
AU - Zolock, John D.
N1 - Publisher Copyright:
© 1997 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1997
Y1 - 1997
N2 - 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.
AB - 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.
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U2 - 10.1115/IMECE1997-0539
DO - 10.1115/IMECE1997-0539
M3 - Conference contribution
AN - SCOPUS:0038275162
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
SP - 235
EP - 243
BT - Recent Advances in Solids/Structures and Application of Metallic Materials
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1997 International Mechanical Engineering Congress and Exposition, IMECE 1997 - Recent Advances in Solids/Structures and Application of Metallic Materials
Y2 - 16 November 1997 through 21 November 1997
ER -