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Transverse Vibration of the Thin Plates: Frequency-Domain Spectral Element Modeling and Analysis
Joint Authors
Park, Ilwook
Park, Donghyun
Lee, Usik
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-14
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
It has been well known that exact closed-form solutions are not available for non-Levy-type plates.
Thus, more accurate and efficient computational methods have been required for the plates subjected to arbitrary boundary conditions.
This paper presents a frequency-domain spectral element model for the rectangular finite plate element.
The spectral element model is developed by using two methods in combination: ( 1 ) the boundary splitting and ( 2 ) the super spectral element method in which the Kantorovich method-based finite strip element method and the frequency-domain waveguide method are utilized.
The present spectral element model has nodes on four edges of the finite plate element, but no nodes inside.
This can reduce the total number of degrees of freedom a lot to improve the computational efficiency significantly, when compared with the standard finite element method (FEM).
The high solution accuracy and computational efficiency of the present spectral element model are evaluated by the comparison with exact solutions and the solutions by the standard FEM.
American Psychological Association (APA)
Park, Ilwook& Lee, Usik& Park, Donghyun. 2015. Transverse Vibration of the Thin Plates: Frequency-Domain Spectral Element Modeling and Analysis. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1074087
Modern Language Association (MLA)
Park, Ilwook…[et al.]. Transverse Vibration of the Thin Plates: Frequency-Domain Spectral Element Modeling and Analysis. Mathematical Problems in Engineering No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1074087
American Medical Association (AMA)
Park, Ilwook& Lee, Usik& Park, Donghyun. Transverse Vibration of the Thin Plates: Frequency-Domain Spectral Element Modeling and Analysis. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1074087
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074087