Transverse Vibration and Waves in a Membrane: Frequency Domain Spectral Element Modeling and Analysis
Joint Authors
Park, Jungho
Park, Ilwook
Lee, Usik
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-08
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Although the spectral element method (SEM) has been well recognized as an exact continuum element method, its application has been limited mostly to one-dimensional (1D) structures, or plates that can be transformed into 1D-like problems by assuming the displacements in one direction of the plate in terms of known functions.
We propose a spectral element model for the transverse vibration of a finite membrane subjected to arbitrary boundary conditions.
The proposed model is developed by using the boundary splitting method and the waveguide FEM-based spectral super element method in combination.
The performance of the proposed spectral element model is numerically validated by comparison with exact solutions and solutions using the standard finite element method (FEM).
American Psychological Association (APA)
Park, Jungho& Park, Ilwook& Lee, Usik. 2014. Transverse Vibration and Waves in a Membrane: Frequency Domain Spectral Element Modeling and Analysis. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1044409
Modern Language Association (MLA)
Park, Jungho…[et al.]. Transverse Vibration and Waves in a Membrane: Frequency Domain Spectral Element Modeling and Analysis. Mathematical Problems in Engineering No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1044409
American Medical Association (AMA)
Park, Jungho& Park, Ilwook& Lee, Usik. Transverse Vibration and Waves in a Membrane: Frequency Domain Spectral Element Modeling and Analysis. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1044409
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044409