A Hybrid Approach for the Random Dynamics of Uncertain Systems under Stochastic Loading
Joint Authors
Facchini, Luca
Betti, Michele
Biagini, Paolo
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-05
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
This paper presents a hybrid Galerkin/perturbation approach based on Radial Basis Functions for the dynamic analysis of mechanical systems affected by randomness both in their parameters and loads.
In specialized literature various procedures are nowadays available to evaluate the response statistics of such systems, but sometimes a choice has to be made between simpler methods (that could provide unreliable solutions) and more complex methods (where accurate solutions are provided by means of a heavy computational effort).
The proposed method combines a Radial Basis Functions (RBF) based Galerkin method with a perturbation approach for the approximation of the system response.
In order to keep the number of differential equations to be solved as low as possible, a Karhunen-Loève (KL) expansion for the excitation is used.
As case study a non-linear single degree of freedom (SDOF) system with random parameters subjected to a stochastic windtype load is analyzed and discussed in detail; obtained numerical solutions are compared with the results given by Monte Carlo Simulation (MCS) to provide a validation of the proposed approach.
The proposed method could be a valid alternative to the classical procedures as it is able to provide satisfactory approximations of the system response.
American Psychological Association (APA)
Betti, Michele& Biagini, Paolo& Facchini, Luca. 2011. A Hybrid Approach for the Random Dynamics of Uncertain Systems under Stochastic Loading. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-30.
https://search.emarefa.net/detail/BIM-454982
Modern Language Association (MLA)
Betti, Michele…[et al.]. A Hybrid Approach for the Random Dynamics of Uncertain Systems under Stochastic Loading. Mathematical Problems in Engineering No. 2011 (2011), pp.1-30.
https://search.emarefa.net/detail/BIM-454982
American Medical Association (AMA)
Betti, Michele& Biagini, Paolo& Facchini, Luca. A Hybrid Approach for the Random Dynamics of Uncertain Systems under Stochastic Loading. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-30.
https://search.emarefa.net/detail/BIM-454982
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454982