Title: The vibration of rolling tyres in ground contact

Authors: S.C. Huang

Addresses: Associate Professor, Department of Mechanical Engineering and Technology, National Taiwan Institute of Technology, Taipei, Taiwan 10772, ROC

Abstract: The natural frequencies and modes of rolling tyres in ground contact were investigated. The ring on elastic foundation model was adopted for the tyre. The approach proposed was to calculate the natural frequencies and modes of a rotating ring, then employ the receptance method to impose ground contacting. The natural frequencies of the rolling tyre in ground contact hence could be solved either numerically or graphically. The modes were sketched from the forced response to a harmonic force of driving frequency equal to one of the natural frequencies applied to the contact point. The corresponding mode was hence excited out and the cross receptances provided the mode shapes. The results show that the natural frequencies in ground contact were, as expected, higher than those of non-contacting tyres. However, the ground-contacted frequencies decreased with the increase of rotational speed. This was because that rotation bifurcated the original frequencies into branches and one of them pulled the frequencies to the lower values. It was also found that the rotational effects could be very significant and cannot be disregarded as the rotation exceeds a certain range.

Keywords: receptance method; rotating ring; road contact; rolling tyres; travelling modes; vehicle vibration; ground contact; natural frequencies; rotational speed.

DOI: 10.1504/IJVD.1992.061714

International Journal of Vehicle Design, 1992 Vol.13 No.1, pp.78 - 95

Available online: 27 May 2014 *

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