Stochastic responses of vibro-impact duffing oscillator excited by additive Gaussian noise

The stationary responses of vibro-impact Duffing oscillator excited by additive Gaussian white noise are studied by using the quasi-conservative averaging method. With the help of a non-smooth variable transformation and the Dirac delta function, the response probability density functions (PDFs) are formulated analytically. Meanwhile, the results are validated numerically using Monte Carlo simulations.

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