Open AccessNumerical study of linearization techniques for Bouc-Wen hysteresis model considering random inputs
Author(s) -
Milan Sága,
Milan Vaško,
Zuzana Ságová,
Marián Handrik,
Peter Kopas,
Lenka Jakubovičová,
В. В. Муравьев,
О. В. Муравьева
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/776/1/012059
Subject(s) - linearization , monte carlo method , finite element method , gaussian , random vibration , vibration , hysteresis , computer simulation , mathematics , statistical physics , computer science , nonlinear system , structural engineering , engineering , physics , statistics , quantum mechanics
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.