RESEARCH PAPERS: Transportation Papers

Coupled Vertical-Lateral Dynamics of a Pneumatic Tired Vehicle: Part I—A Mathematical Model

[+] Author and Article Information
N. S. Nathoo

Shell Development Company, Houston, Texas

A. J. Healey

The University of Texas at Austin, Austin, Texas

J. Dyn. Sys., Meas., Control 100(4), 311-318 (Dec 01, 1978) (8 pages) doi:10.1115/1.3426383 History: Received September 18, 1978; Online July 13, 2010


A method is presented which permits the simulation of the coupled vertical and lateral rigid body vibration response of an automobile to roadway roughness inputs. A set of equations in matrix form is obtained for an assumed ten degree-of-freedom mathematical model of the vehicle-tire system using generalized linear and Euler angle coordinates. Kinematic relations for a rolling tire which treat it as an elastically supported string under tension are incorporated into the overall system model. Forces and moments that act in the tire-roadway contact interface are represented mathematically as a function of the parameters and response variables of the vehicle system. The nonlinear system equations are subsequently simplified in order to apply them to a vehicle moving along a straight roadway. The formulated model is shown to be adequate for predicting acceleration response in a frequency range of 0.1–10 Hz for the set of roadway test roadway sections considered in the present study.

Copyright © 1978 by ASME
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