Abstract
The stochastic response of hysteretic MDOF systems is most conveniently determined by statistical equivalent linearization (EQL). Traditionally, EQL assumes the nonlinear hysteretic stochastic response to be normally distributed, although it is well known that this assumption is not justified and may lead to considerable errors in the prediction of the second moment properties. In the present paper, the consideration of non-Gaussian response properties is shown. The suggested method utilizes nonlinear transformations between the nonlinear and linearized state vector and Nataf’s representation of the n-dimensional joint distribution by its marginal distributions. A method to evaluate the required nonlinear transformation is proposed. The applicability of the introduced concept is shown in a numerical example.
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