Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems

P-T. D. Spanos

63 citations0/0 files storedJournal of Applied Mechanics

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Probabilistic and Robust Engineering Design Seismic Performance and Analysis Vibration and Dynamic Analysis

Abstract

A formulation of the method of stochastic linearization so that it is applicable for symmetric or asymmetric nonlinear systems is presented. Formulas for the generation of the equivalent linear system are given. The solution procedure for determining nonstationary or stationary system response statistics is outlined.

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1991Equivalent Statistical Quadratization for Nonlinear Systems 1986Methods of stochastic structural dynamics 2012The Duffing oscillator under combined periodic and random excitations 2019Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations 2004An extension of the Kazakov relationship for non-Gaussian random variables and its use in the non-linear stochastic dynamics 1992Non-linear multi-degree-of-freedom system random vibration by equivalent statistical quadratization 1987Comparison of Gaussian closure technique and equivalent linearization method 1981Monte Carlo simulations of responses of non-symmetric dynamic system to random excitations

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