Nonzero mean random vibration of hysteretic frames

Abstract The response of hysteretic plane framed structures to random excitation, accompanied by a nonzero mean gravity load, is considered. The structure is idealized as an assemblage of elastic beam subelements. joined through discrete hysteretic flexural subelements. with lumped masses at the nodes. The excitation, intended to represent a seismic base disturbance, is modeled as a Gaussian white noise stochastic process. Filtered excitation models are also possible and add no complication. The model is analyzed by Monte Carlo simulation and by stochastic equivalent linearization. It is shown that the response interaction between steady-state mean and random excitations is dependent upon the model of the system. Moreover, it is demonstrated that stationary solutions do not always exist. When a stationary solution exists, it is not unique, but dependent upon the transient excitation sequence preceding stationarity. The linearization models tended to be Stiffer than the simulation models, but predicted similar response trends at the excitation level considered.

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