Comparison of the New Energy-Based Versions of the Stochastic Linearization Technique

  • Isaac Elishakoff
  • Ruichong Zhang
Part of the IUTAM Symposia book series (IUTAM)


In this study a generalization of the stochastic linearization method is proposed; namely the nonlinear system is suggested to be replaced by a linear system equivalent to the original one in the following sense: The two systems should share common mean-square values of potential energies, as well as have coincident mean square values of energy dissipation function. An example of a system with nonlinear damping and nonlinear stiffness is numerically evaluated, to elucidate the proposed method.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Isaac Elishakoff
    • 1
  • Ruichong Zhang
    • 1
  1. 1.Center for Applied Stochastics Research and Department of Mechanical EngineeringFlorida Atlantic UniversityBoca RatonUSA

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