Summary
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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© 1992 Springer-Verlag Berlin Heidelberg
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Elishakoff, I., Zhang, R. (1992). Comparison of the New Energy-Based Versions of the Stochastic Linearization Technique. In: Bellomo, N., Casciati, F. (eds) Nonlinear Stochastic Mechanics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84789-9_17
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DOI: https://doi.org/10.1007/978-3-642-84789-9_17
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