Equivalent linearization and Monte Carlo simulation in stochastic dynamics

C Proppe, HJ Pradlwarter, GI Schuëller - Probabilistic Engineering …, 2003 - Elsevier
Equivalent linearization (EQL) and Monte Carlo Simulation (MCS) are the most important
techniques in analyzing large nonlinear structural systems under random excitation. This …

Linearization in analysis of nonlinear stochastic systems: recent results—part I: theory

L Socha - Appl. Mech. Rev., 2005 - asmedigitalcollection.asme.org
The purpose of Part 1 of this paper is to provide a review of recent results from 1991 through
2003 in the area of theoretical aspects of statistical and equivalent linearization in the …

[图书][B] Linearization methods for stochastic dynamic systems

L Socha - 2007 - books.google.com
For most cases of interest, exact solutions to nonlinear equations describing stochastic
dynamical systems are not available. The aim of this book is to give a systematic introduction …

[PDF][PDF] 碰撞振动及其典型现象

金栋平, 胡海岩 - 力学进展, 1999 - lxjz.cstam.org.cn
碰撞振动及其典型现象3 Page 1 第29 卷第2 期 1999 年5 月25 日 力学进展 ADVANCES IN
MECHANICS Vol. 29 No. 2 May 25 , 1999 碰撞振动及其典型现象3 金栋平胡海岩 南京航空航天 …

Application of Orthogonal Functions to Equivalent Linearization Method for MDOF Duffing–Van der Pol Systems under Nonstationary Random Excitations

A Younespour, H Ghaffarzadeh, S Cheng - Computation, 2023 - mdpi.com
Many mechanical systems manifest nonlinear behavior under nonstationary random
excitations. Neglecting this nonlinearity in the modeling of a dynamic system would result in …

Probability density statistical and equivalent linearization techniques

L Socha - International Journal of Systems Science, 2002 - Taylor & Francis
The concept of statistical and equivalent linearization with criteria in probability density
functions space for dynamic systems under Gaussian parametric and external excitations is …

Quantitative identification of vehicle rattle sources using CAE and experimental tools

JY Her, SR Hsieh, JA Moore - … and Information in …, 1997 - asmedigitalcollection.asme.org
Vehicle rattle noise, generated when parts impact each other due to road, wind or
powertrain induced vibration excitation, has become one of the major customer concerns in …

Modeling of complex dynamical behaviours using a state representation technique based on a vector ARMA approach

D Daucher, M Fogli, D Clair - Probabilistic engineering mechanics, 2006 - Elsevier
We present an original method for constructing linear stochastic models of state
representation type able to describe the second-order random behaviour of complex …

Design of a system of linear oscillators spectrally equivalent to a non-linear one

MA Ismaili - International journal of non-linear mechanics, 1996 - Elsevier
This paper aims to determine a system of linear oscillators for which the spectrum of its
stationary response is close to the spectrum of a given non-linear oscillator. A set of linear …

Application of poli-criterial linearization for control problem of stochastic dynamic systems

L Socha - Journal of Theoretical and Applied Mechanics, 2005 - ptmts.org.pl
The problem of the determination of response characteristics and quasioptimal control for
nonlinear stochastic dynamic systems by using a multi-criteria linearization technique is …