Title: Ride, eigenvalue and stability analysis of three-wheel vehicle using Lagrangian dynamics

Authors: Rakesh Chandmal Sharma

Addresses: Mechanical Engineering Department, Maharishi Markandeshwar University, Mullana, Ambala, 133207, India

Abstract: This research paper studies the ride behaviour of coupled vertical-lateral 9 degree of freedom model of a three wheel vehicle formulated using Lagrangian dynamics. The mathematical model is validated by simulating PSD vertical and lateral acceleration of three-wheel vehicle sprung mass and comparing the same obtained from actual testing results. The natural frequencies, i.e., eigenvalues of main rigid bodies, i.e., sprung mass, front wheel steering arm and rear unsprung mass of the system are determined through MATLAB simulations. Critical speed of the vehicle is also determined in order to investigate the dynamic stability, and parameters which influence the critical speed are analysed.

Keywords: three-wheel vehicle; eigenvalue; stability; critical speed; Lagrangian dynamics.

DOI: 10.1504/IJVNV.2017.086021

International Journal of Vehicle Noise and Vibration, 2017 Vol.13 No.1, pp.13 - 25

Received: 16 Mar 2016
Accepted: 14 Dec 2016

Published online: 08 Aug 2017 *

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