Research Papers

Experiments on Quasiperiodic Wheel Shimmy

[+] Author and Article Information
Dénes Takács1

Research Group on Dynamics of Vehicles and Machines, Hungarian Academy of Sciences, Budapest H-1521, Hungarytakacs@mm.bme.hu

Gábor Stépán

Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest H-1521, Hungarystepan@mm.bme.hu


Corresponding author. Present address: Department of Applied Mechanics, Budapest University of Technology and Economics, H-1521, Budapest, Hungary.

J. Comput. Nonlinear Dynam 4(3), 031007 (May 20, 2009) (7 pages) doi:10.1115/1.3124786 History: Received November 19, 2007; Revised December 09, 2008; Published May 20, 2009

The lateral vibration of towed wheels—so-called shimmy—is one of the most exciting phenomena of vehicle dynamics. We give a brief description of a simple rig of elastic tire that was constructed for laboratory measurements. A full report is given on the experimental investigation of this rig from the identification of system parameters to the validation of stability boundaries and vibration frequencies of shimmy motion. The experimental results confirm the validity of those tire models that include delay effects. A peculiar quasiperiodic oscillation detected during the experiments is explained by numerical simulations of the nonlinear time-delayed mathematical model.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 2

Rolling of the elastic tire

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Figure 1

Mechanical model of towed tire

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Figure 8

Acceleration spectrum for parameter point H

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Figure 9

Global experimental stability chart

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Figure 10

Simulated transient motion: (a) transient time history of caster end-point acceleration, (b) transient shape of contact line, and (c) 2D projected phase portrait of the transient motion

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Figure 11

Simulated stationary motion: (a) stationary time history of caster end-point acceleration, (b) shape of the contact line deformed by several slidings, and (c) 2D projected stationary phase portrait

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Figure 12

Spectrum of the simulated stationary quasiperiodic vibration

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Figure 13

Waterfall diagram of the simulated motion

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Figure 3

Linear stability chart and self-excited vibration frequencies

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Figure 4

Stiffness measurement setup

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Figure 5

Experimental rig

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Figure 6

Experimental stability chart

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Figure 7

Acceleration time history for parameter point H




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