scholarly journals A solution method for free vibration analysis of coupled laminated composite elliptical-cylindrical-elliptical shell with elastic boundary conditions

2021 ◽  
Author(s):  
Kwanghun Kim ◽  
Yongsu Jon ◽  
Kwangil An ◽  
Songhun Kwak ◽  
Yongsu Han
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Vibration Analysis ◽  
Solution Method ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Elastic Boundary ◽  
Elastic Boundary Conditions

Free vibration analysis of rectangular plates with arbitrary elastic boundary conditions

2021 ◽  
Vol 263 (5) ◽  
pp. 1891-1898
Author(s):  
Zhenshuai Wan
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Rectangular Plates ◽  
Different Boundary Conditions ◽  
Elastic Boundary ◽  
Fourier Series Method ◽  
The Matrix ◽  
Elastic Boundary Conditions

boundary conditions are In this paper, an improved Fourier series method is presented for the free vibration analysis of rectangular plates with arbitrary elastic conditions. The stiffness value of the restraining springs is determined as required to simulate the arbitrary elastic boundary conditions. The exact solution of plates with arbitrary elastic boundary conditions is solved by the introduced supplementary func-tions. The matrix eigenvalue equation of plates is derived by using boundary conditions and the governing equations. Compared with exist methods, the presented method can be easily applied to most of plate vibration problems with different boundary conditions. To validate the accuracy of the presented method, numerical simulations with different boundary conditions are presented.presented.

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