Probability Densities of the Response of Non-Linear Structures under Stochastic Dynamic Excitation
An approximate method for determining estimates of response statistics for non-linear oscillators driven by wide-band random excitation is presented. The development is based on the theory of Markov processes. The proposed method is based on non-Gaussian closure procedures where a number of moment differential equations are used to evaluate parameters of non-Gaussian response distributions. The developments are described and illustrated by means of numerical examples. Special attention is given to the choice of types of non-Gaussian distributions. it is shown that some serious shortcomings of series approximations, particularly with respect to negative probability densities can be avoided by using generalized exponential distributions.
KeywordsProbability Density Function Joint Probability Density Function Generalize Exponential Distribution High Excitation Level Hysteretic System
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