Numerical Treatment of Nonlinear Random Vibrations
of Vehicles
Jörg Gruner, Jürgen vom Scheidt and Ralf Wunderlich
Abstract :
The paper considers random vibrations of road vehicles excited by two
random tracks. 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.