A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions
Joint Authors
Li, Wan-You
Lv, Binglin
Ouyang, Huajiang
Du, Jingtao
Zhou, Haijun
Wang, Donghua
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A novel hybrid method, which simultaneously possesses the efficiency of Fourier spectral method (FSM) and the applicability of the finite element method (FEM), is presented for the vibration analysis of structures with elastic boundary conditions.
The FSM, as one type of analytical approaches with excellent convergence and accuracy, is mainly limited to problems with relatively regular geometry.
The purpose of the current study is to extend the FSM to problems with irregular geometry via the FEM and attempt to take full advantage of the FSM and the conventional FEM for structural vibration problems.
The computational domain of general shape is divided into several subdomains firstly, some of which are represented by the FSM while the rest by the FEM.
Then, fictitious springs are introduced for connecting these subdomains.
Sufficient details are given to describe the development of such a hybrid method.
Numerical examples of a one-dimensional Euler-Bernoulli beam and a two-dimensional rectangular plate show that the present method has good accuracy and efficiency.
Further, one irregular-shaped plate which consists of one rectangular plate and one semi-circular plate also demonstrates the capability of the present method applied to irregular structures.
American Psychological Association (APA)
Li, Wan-You& Lv, Binglin& Ouyang, Huajiang& Du, Jingtao& Zhou, Haijun& Wang, Donghua. 2014. A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1046500
Modern Language Association (MLA)
Li, Wan-You…[et al.]. A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1046500
American Medical Association (AMA)
Li, Wan-You& Lv, Binglin& Ouyang, Huajiang& Du, Jingtao& Zhou, Haijun& Wang, Donghua. A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1046500
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046500