Summary
A new stochastic linearization technique is described. It is based on the requirement that mean square deviation of the potential energies of the original nonlinear system, and that of the equivalent linear one, be minimal. The accuracy of this version of stochastic linearization is checked by comparing the approximations resulting from the use of stochastic linearization method with some exact solutions available in the literature.
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© 1991 Springer-Verlag Berlin, Heidelberg
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Zhang, X., Elishakoff, I., Zhang, R. (1991). A Stochastic Linearization Technique Based on Minimum Mean Square Deviation of Potential Energies. In: Lin, Y.K., Elishakoff, I. (eds) Stochastic Structural Dynamics 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84531-4_17
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DOI: https://doi.org/10.1007/978-3-642-84531-4_17
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