Simulation of the suspension of a vehicle using Chebyshev series

Abstract

This article presents approximate analytical solutions of the differential equation system governing the vertical dynamics of a vehicle, using an approximation through expansions in Chebyshev series. These solutions allow faster solution processing than do the traditional numerical methods. The Lanczos τ method is used in order to obtain lower-degree polynomials with much reduced errors for the simulation times proposed. Finally, an analysis of the computational efficiency of the outcomes is carried out, comparing the time spent in processing exact and numerical solutions of the system with the time taken by this expansion method using Chebyshev series. It can be checked that the calculations of these polynomials are far more efficient with low-degree excitations.