The Response of an Oscillator With Bilinear Hysteresis to Stationary Random Excitation

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Abstract
By applying the technique of stochastic averaging, a simple analytical result is obtained for the joint distribution of the displacement and velocity of a bilinear oscillator excited by a stationary random process. A comparison of theoretical results deduced from this distribution with corresponding digital simulation results shows that the theory is accurate in circumstances where the response is narrow-band in nature.

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