Responses of dynamic systems excited by non-gaussian pulse processes
Date of Original Version
This paper presents an efficient method for calculating the response statistics of dynamic systems subjected to Poisson-distributed (non-Gaussian) pulse processes. The procedure to be followed is based on an extension of the traditional method of the It6 stochastic differential equation, in which the increment of the Wiener process associated with the It0 stochastic differential equation has been substituted by the increment of a compound Poisson process. One major achievement here is the derivation of a general moment equation suitable to Poissondistributed pulse excitations. Two examples of application (for linear and nonlinear systems) are given to illustrate the use of the derived moment equation. Exact response moments for linear systems can be calculated efficiently. In studying a nonlinear oscillator with a use of fourth-order cumulant-neglect method, it is found that the calculation for response moments of second order is reasonably accurate, although this is not so for moments of fourth order. © ASCE.
Journal of Engineering Mechanics
Hu, Sau-Lon J.. "Responses of dynamic systems excited by non-gaussian pulse processes." Journal of Engineering Mechanics 119, 9 (1993): 1818-1827. doi:10.1061/(ASCE)0733-9399(1993)119:9(1818).