Abstract: The probability density function (PDF) of the responses of random oscillators with both external and parametric excitations is formulated as an exponential function of polynomials in state variables. The PDF is assumed to ...

Abstract: The probability density function (PDF) and the mean up-crossing rate of the responses for nonlinear ship roll oscillations excited by random sea waves are examined. The excitation of random sea waves is approximated as ...

Abstract: The probabilistic solutions of the nonlinear stochastic oscillators with even nonlinearity in displacement are investigated with the exponential-polynomial closure method. Numerical results show that ...