Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics

Isaac E. Elishakoff · Lova Andriamasy

7 citations0/0 files storedJournal of Applied Mechanics

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Probabilistic and Robust Engineering Design Vibration and Dynamic Analysis stochastic dynamics and bifurcation

Abstract

Abstract In classical stochastic linearization method, the nonlinear force is replaced by an equivalent linear one. Several nonclassical schemes were suggested in recent years, based on potential or complementary energy criteria. Here, these criteria are compared with each other, and the classical stochastic linearization scheme, to determine their efficacy.

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2005Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory 1991Stochastic Structural Dynamics 2 2005Linearization in Analysis of Nonlinear Stochastic Systems, Recent Results—Part II: Applications 1981Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part I: Markov Methods 2000Stochastic Linearization Technique: A New Interpretation and a Selective Review 1992Nonlinear Stochastic Mechanics 1993A new philosophy for stochastic equivalent linearization 1995Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method

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