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Forced Response of Nonlinear Systems Under Combined Harmonic and Random Excitation

Förster, Alwin ; Scheidt, Lars Panning-von ; Wallaschek, Jörg

Nonlinear Structures and Systems, Volume 1, 2019, p.65-80

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Título:
Forced Response of Nonlinear Systems Under Combined Harmonic and Random Excitation
Autor: Förster, Alwin ; Scheidt, Lars Panning-von ; Wallaschek, Jörg
Assuntos: Combined excitation ; In-stationary Fokker–Planck equation ; Periodic ; Probability density function ; Random excitation
É parte de: Nonlinear Structures and Systems, Volume 1, 2019, p.65-80
Descrição: Mechanical systems are often subjected to different types of excitation. In addition to the commonly considered case of deterministic excitation, random excitation or a combination of both types can occur. The authors present a method to calculate periodic probability density functions of nonlinear mechanical systems under combined harmonic and random excitation. During the calculation, the non-stationary Fokker–Planck equation is solved with a Galerkin-type method. The method uses combined orthogonal, time dependent polynomial as well as harmonic correction terms to reshape an initial guess of the probability density function. It can be used to calculate the stochastic behavior of smaller multi-degree of freedom systems. The applicability is demonstrated using different nonlinear mechanical systems, whereby the results of Monte-Carlo simulations validate the method.
Títulos relacionados: Conference Proceedings of the Society for Experimental Mechanics Series
Editor: Cham: Springer International Publishing
Idioma: Inglês

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