Nonlinear SDOF system subject to Poisson-distributed pulse process
Date of Original Version
This paper investigates the response of a nonlinear oscillator subject to Poisson-distributed pulse process (non-Gaussian delta-correlated process). Methods employed to obtain the response statistics include the fourth-order cumulant-neglect method and Monte-Carlo simulations. Simulation results are used for the purpose of examining the accuracy of the simple and efficient cumulant-neglect technique. Observations are made to determine the critical impulse arrival rate beyond which a non-Gaussian delta-correlated process can be replaced by its Gaussian counterpart yet still yield almost identical estimations on response statistics of various nonlinear systems.
Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference
Hu, Sau Lon J., George Tsiatas, and Shuang Jin. "Nonlinear SDOF system subject to Poisson-distributed pulse process." Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference , (1996): 680-683. https://digitalcommons.uri.edu/cve_facpubs/384