Zk. Hou et al., A NONSTATIONARY STOCHASTIC-MODEL FOR PERIODIC EXCITATION WITH RANDOM-PHASE MODULATION, Probalistic engineering mechanics, 10(2), 1995, pp. 73-81
The paper presents a non-stationary stochastic model for periodic exci
tation with random phase modulation, where the phase modulation is mod
eled as a modulated stationary. Gaussian process. Applications of the
model are demonstrated by analysis of response of a single-degree-of-f
reedom (SDOF) system under such an excitation. The response is, in gen
eral, non-Gaussian. Cases of step, rectangular, and exponential envelo
pes are considered in the present study. The nonstationary second and
fourth order moments are calculated by numerically solving the transie
nt moment equations. Non-Gaussianity of the response is studied in ter
ms of the non-stationary excess factor. Some numerical results are pre
sented. The influences of system parameters, build-up and decay rates
as well as duration of random phase modulation on the moment response
of the SDOF system are discussed.