Nonlinear stochastic vibrations of vehicles
Jürgen vom Scheidt and Ralf Wunderlich
In: Progress in Industrial Mathematics at ECMI 1994, Wiley & Teubner
(1996), 521 - 528
Abstract :
We consider stochastic vibrations of road vehicles excited by random road
surfaces.
The vehicle is modeled as a multibody system consisting of rigid bodies
coupled by springs and dampers.
Characteristics of springs and dampers are approximated by polynomials.
The resulting mathematical model is a system of nonlinear ordinary
differential equations of second order with random input functions.
Its solution is found by using perturbation method.
Approximations of correlation and spectral density functions of motions,
velocities and accelerations of the rigid bodies are calculated
using limit theorems of weakly correlated random functions.
Numerical results are presented.