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• W2893780079 abstract "A cantilever with an open surface crack excited by the pedestal movement with the form of the Gaussian white noise was modeled in this paper. The open crack was simplified as an elastic hinge and the modal functions of the cracked cantilever were obtained. The dynamical equation governing the transverse motion was gained with the Kane’s method after sufficient consideration of the geometrical nonlinearity and the axial inertia. Both quasi-conservative stochastic averaging method and the improved energy envelop stochastic averaging method which is effective on strong nonlinearity were applied to analyze the responses of the cantilever model theoretically. The stationary probability density function (PDF) of the amplitude, as well as the joint stationary PDF of the displacement and velocity, was investigated. For the purpose of exploring the reliability of the cantilever, the reliability function was established to avoid the potential fatigue or damage. Numerical simulations were carried out to vindicate the theoretical analysis. The advantage of the improved energy envelop stochastic averaging method was explicated by the digital results of both the stationary PDF of the amplitude and the joint PDF of displacement and velocity. Furthermore, the accuracy of the prediction on the reliability given by the theoretical analysis was also vindicated by the numerical simulation (Monte Carlo method) of the reliability." @default.
• W2893780079 created "2018-10-05" @default.
• W2893780079 creator A5071040283 @default.
• W2893780079 creator A5085748542 @default.
• W2893780079 date "2018-12-01" @default.
• W2893780079 modified "2023-09-27" @default.
• W2893780079 title "Response of a cantilever model with a surface crack under basal white noise excitation" @default.
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• W2893780079 doi "https://doi.org/10.1016/j.camwa.2018.09.001" @default.
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