An exact solution for the free vibration analysis of laminated composite cylindrical shells with general elastic boundary conditions

2013 ◽  
Vol 106 ◽  
pp. 114-127 ◽  
Author(s):  
Guoyong Jin ◽  
Tiangui Ye ◽  
Yuehua Chen ◽  
Zhu Su ◽  
Yuquan Yan
Keyword(s):  
Exact Solution ◽  
Free Vibration ◽  
Boundary Conditions ◽  
Vibration Analysis ◽  
Cylindrical Shells ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Elastic Boundary ◽  
Elastic Boundary Conditions ◽  
Composite Cylindrical Shells

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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