Numerical Study Of Linearization Techniques For Bouc-Wen Hysteresis Model Considering Random Inputs

Milan Sága; Milan Vaško; Zuzana Ságová; Marián Handrik; Peter Kopas; Lenka Jakubovičová; Vitaly Muraviev; Olga Muravieva

MACHINE MODELING AND SIMULATIONS, Machine Modeling and Simulations 2019

Milan Sága, Milan Vaško, Zuzana Ságová, Marián Handrik, Peter Kopas, Lenka Jakubovičová, Vitaly Muraviev, Olga Muravieva

Last modified: 16. 04. 2020

Abstract

Our study focus 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.

Acknowledgements: This work was supported by the Slovak Research and Development Agency under the contract No. APVV-14-0096 and work was supported by KEGA 015ŽU-4/2017.