COMPARISON OF KARHUNEN-LO`EVE EXPANSION AND MONTE CARLO SIMULATION METHODS IN MODELING THE DYNAMICS OF A HALF-CAR SUSPENSION SYSTEM
Abstract
This paper presents a comparative study of two prominent uncertainty quan-tification methods: the Karhunen-Lo`eve Expansion (KLE) and Monte Carlo Simu-lation (MCS). The application of these methods is demonstrated using the half-car suspension system, a widely studied model in vehicle dynamics. The KLE method’s computational efficiency and its ability to provide analytical insights are compared with the brute-force accuracy of the Monte Carlo approach. Results indicate that KLE significantly reduces computation time while maintaining sufficient accuracy, making it a preferred choice in many engineering applications.
References
[1] Ghanem, R., & Spanos, P. D. (1991). Stochastic finite elements: A spectral approach. Springer-Verlag.
[2] Metropolis, N., & Ulam, S. (1949). The Monte Carlo method. Journal of the American Statistical Association, 44(247), 335-341.
[3] Rajamani, R. (2011). Vehicle dynamics and control. Springer.
[4] Sullivan, T. J. (2015). Introduction to uncertainty quantification. Springer.