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Dynamic Analysis of a Plate on the Generalized Foundation with Fractional Damping Subjected to Random Excitation
Joint Authors
Younesian, Davood
Hosseinkhani, Ali
Farhangdoust, Saman
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hosseinkhani, Ali& Younesian, Davood& Farhangdoust, Saman. 2018. Dynamic Analysis of a Plate on the Generalized Foundation with Fractional Damping Subjected to Random Excitation. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1207211
Modern Language Association (MLA)
Hosseinkhani, Ali…[et al.]. Dynamic Analysis of a Plate on the Generalized Foundation with Fractional Damping Subjected to Random Excitation. Mathematical Problems in Engineering No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1207211
American Medical Association (AMA)
Hosseinkhani, Ali& Younesian, Davood& Farhangdoust, Saman. Dynamic Analysis of a Plate on the Generalized Foundation with Fractional Damping Subjected to Random Excitation. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1207211
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207211