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This paper is concerned with the connection between the Volterra series and the regular perturbation method in nonlinear systems analyses. It is revealed for the first time that, for a forced polynomial nonlinear system, if its derived linear system is a damped dissipative system, the steady response obtained through the regular perturbation method is exactly identical to the response given by the...
Volterra series is a powerful mathematical tool for nonlinear system analysis, and there is a wide range of nonlinear engineering systems and structures that can be represented by a Volterra series model. In the present study, the random vibration of nonlinear systems is investigated using Volterra series. Analytical expressions were derived for the calculation of the output power spectral density...
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