Consideration on lateral vibration of automobiles in quasi-planar model with wheel separation and road deformation taken into account

• Published in: Journal of Vibroengineering Vol. 23; no. 1; pp. 256 - 272
• Main Authors: Cong, Ham Vu, Mann, Cuong Phung, Quang, Dung Tran
• Format: Journal Article
• Language: English
• Published: JVE International Ltd 01.02.2021
• Subjects: Automobiles; Differential equations; Vietnam
• ISSN: 1392-8716; 2538-8460
• DOI: 10.21595/jve.2020.21670

This article considers lateral vibration of an automobile in a so-called quasi-planar model where both the loss of contact and road deformation are taken into account. The automobile with dependent suspension is modeled as a vibration system which has two masses and four degrees of freedom. The deformed road is modeled as an elastic beam which has uniform rectangular cross-section, is simply supported at the two ends and lies on the Kelvin's visco-elastic ground. The loss of contact and the change in dimensions of contact areas are considered. The differential equations of motion of the vehicle-road coupled system which contains a partial differential equation are transformed into a set of all ordinary differential equations by applying the Bubnov-Galerkin’s method. A procedure for numerically solving the transformed differential equations of motion is proposed. Some illustrating results coming from numerical consideration are also presented in the paper.