The random response of a Duffing oscillator excited by a quadratic polynomial of a filtered Gaussian process is addressed. The equations for the response moments are written by means of Ito's stochastic differential calculus. Because of the non-linearity of the system these equations constitute an infinite hierarchy that must be closed in order to compute the moments. An iterative procedure is used to do that. It operates in two phases, in the former of which the system is linearized. Numerical investigations complete the paper.
Random response of Duffing oscillator excited by quadratic polynomial of filtered Gaussian noise
FLORIS, CLAUDIO;
1997-01-01
Abstract
The random response of a Duffing oscillator excited by a quadratic polynomial of a filtered Gaussian process is addressed. The equations for the response moments are written by means of Ito's stochastic differential calculus. Because of the non-linearity of the system these equations constitute an infinite hierarchy that must be closed in order to compute the moments. An iterative procedure is used to do that. It operates in two phases, in the former of which the system is linearized. Numerical investigations complete the paper.File in questo prodotto:
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