Dynamic analysis of a plate on the generalized foundation with fractional damping subjected to random excitation
type: Item
instance of: scholarly article
title: Dynamic analysis of a plate on the generalized foundation with fractional damping subjected to random excitation
zbMATH Open document ID: 1427.74065
DOI: 10.1155/2018/3908371
author: Ali Hosseinkhani
author: Davood Younesian
author: Saman Farhangdoust
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Stochastic response of a plate on the generalized foundation driven by random excitation is solved in this paper. Governing differential equation is obtained by employing the Galerkin method. The generalized harmonic function technique is applied to the governing equation of motion. Using the stochastic averaging method (SAM), the system is approximated by the time homogeneous diffusive Markov process. Corresponding approximate stationary probability function is achieved by solving associated Fokker-Plank-Kolmogorov (FPK). An analytical solution is presented for the stationary probability of the amplitude and velocity. Validity of the stationary probability is verified by Monte-Carlo simulation. Parametric study is carried out to investigate effects of foundation parameters and excitation intensity on the stationary probability function. It is found that the fractional properties act similar to the foundation stiffness and damping and can be employed as a new control parameter for the support design.
Mathematics Subject Classification ID: 74H50
Mathematics Subject Classification ID: 60G22
zbMATH DE Number: 7018887
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3908371
OpenAlex ID: W2858315575
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description: scientific article; zbMATH DE number 7018887