Numerical study of linearization techniques for Bouc-Wen hysteresis model considering random inputs

Abstract

Our study focuses on the numerical solution of the stochastic vibration of elastic-plastic mechanical systems with Gaussian random excitations. It's realized the short review about linearization techniques in stochastic dynamics mainly with application in area of elastic-plastic finite element modelling using BW (Bouc-Wen) differential mathematical model. The presented methods of statistical linearization, Hurtado-Barbat's modification of statistical linearization, statistical quadratization and Monte Carlo approach are applied to numerical testing.