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Responses of Nonlinear Oscillators Excited by Non-Gaussian Pulse Processes

by Sau-Lon James Hu, Univ of Rhode Island, Kingston, United States,



Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability

Abstract:

The estimation of the response statistics of nonlinear systems subjected to Poisson-distributed pulse processes is addressed. The procedure to be followed is based on an extension of the traditional method of Ito stochastic differential equations where the increment of the Wiener process is substituted by the increment of a compound Poisson process. A general moment equation is derived which can be used for the calculation of the response statistics.

Subject Headings: Stochastic processes | Oscillations | Statistics | Nonlinear response | Differential equations | Moment (mechanics) | Gaussian process

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