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RISThe Probabilistic Solutions to Nonlinear Random Vibrations of Multi-Degree-of-Freedom Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The probability density function of the responses of nonlinear random vibration of a multi-degree-of-freedom system is formulated in the defined domain as an exponential function of polynomials ...
Probability Density Function Solution of Nonlinear Oscillators Subjected to Multiplicative Poisson Pulse Excitation on Velocity
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stationary probability density function (PDF) solution of the stochastic responses is derived for nonlinear oscillators subjected to both additive and multiplicative Poisson white noises. The ...
Responses of Nonlinear Oscillators Excited by Nonzero-Mean Parametric Poisson Impulses on Displacement
Publisher: American Society of Civil Engineers
Abstract: The nonzero-mean probability density function (PDF) solutions of nonlinear stochastic oscillators under the excitation of Poisson impulse process are obtained with exponential-polynomial closure (EPC) method. The excitations ...