A Dynamic Coefficient Matrix Method for the Free Vibration of Thin Rectangular Isotropic Plates
Joint Authors
Jayasinghe, Supun
Hashemi, S. M.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-11
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The free flexural vibration of thin rectangular plates is revisited.
A new, quasi-exact solution to the governing differential equation is formed by following a unique method of decomposing the governing equation into two beam-like expressions.
Using the proposed quasi-exact solution, a Dynamic Coefficient Matrix (DCM) method is formed and used to investigate the free lateral vibration of a rectangular thin plate, subjected to various boundary conditions.
Exploiting a special code written on MATLAB®, the flexural natural frequencies of the plate are found by sweeping the frequency domain in search of specific frequencies that yield a zero determinant.
Results are validated extensively both by the limited exact results available in the open literature and by numerical studies using ANSYS® and in-house conventional FEM programs using both 12- and 16-DOF plate elements.
The accuracy of all methods for lateral free vibration analysis is assessed and critically examined through benchmark solutions.
It is envisioned that the proposed quasi-exact solution and the DCM method will allow engineers to more conveniently investigate the vibration behaviour of two-dimensional structural components during the preliminary design stages, before a detailed design begins.
American Psychological Association (APA)
Jayasinghe, Supun& Hashemi, S. M.. 2018. A Dynamic Coefficient Matrix Method for the Free Vibration of Thin Rectangular Isotropic Plates. Shock and Vibration،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1215017
Modern Language Association (MLA)
Jayasinghe, Supun& Hashemi, S. M.. A Dynamic Coefficient Matrix Method for the Free Vibration of Thin Rectangular Isotropic Plates. Shock and Vibration No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1215017
American Medical Association (AMA)
Jayasinghe, Supun& Hashemi, S. M.. A Dynamic Coefficient Matrix Method for the Free Vibration of Thin Rectangular Isotropic Plates. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1215017
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215017