The large deflection on problem of circular plate on elastic foundation and in conjunction with linear elastic structure

1986 ◽  
Vol 7 (4) ◽  
pp. 345-354
Author(s):  
Chen Shan-lin ◽  
Zhang Li-ying
Keyword(s):  
Circular Plate ◽  
Elastic Foundation ◽  
Large Deflection ◽  
Elastic Structure ◽  
Linear Elastic ◽  
Plate On Elastic Foundation

TECHNICAL NOTE. CIRCULAR PLATE ON A NON-LINEAR ELASTIC FOUNDATION.

1985 ◽  
Vol 79 (4) ◽  
pp. 729-735
Author(s):  
A HASSAN ◽  
M NASSAR ◽  
C LANCZOS ◽  
Keyword(s):  
Circular Plate ◽  
Elastic Foundation ◽  
Technical Note ◽  
Linear Elastic ◽  
Non Linear

Dynamic Analysis of Circular Plate on Elastic Foundation by EFHT Method

2003 ◽  
Vol 19 (3) ◽  
pp. 337-347
Author(s):  
Lai-Yun Wu ◽  
Wen-Haur Lee
Keyword(s):  
Differential Equation ◽  
Dynamic Response ◽  
Circular Plate ◽  
Elastic Foundation ◽  
Bending Moment ◽  
Hankel Transform ◽  
Elastic Circular Plate ◽  
Internal Forces ◽  
Plate On Elastic Foundation ◽  
Element Method

AbstractThe dynamic response of a homogeneous, isotropic and elastic circular plate on an elastic foundation subjected to axisymmetric time dependent loads is investigated both analytically and numerically in thisv paper. First, the Extended Finite Hankel Transform (EFHT) is derived. After applying the technique of the EFHT to the governing equation of the vibrating circular plate, the governing partial differential equation (PDE) is transformed into the governing ordinary differential equation (ODE). Therefore, the analytical solution of the plate problem can be found completely. Once the dynamic response of the plate is solved, the internal forces of the plate, including shear force, bending moment and torsion, can be obtained subsequently. Under the particular case that elastic springs do not exist under the foundation, the dynamic response of the circular plate by the method of EFHT matches exactly with that by the method of modal analysis. By comparing the methods of EFHT, Boundary Element Method (BEM) and Finite Element Method (FEM), the results indicate that the proposed method of EFHT is accurate, systematic and convenient.

Bending of Circular Plate on Elastic Foundation

1983 ◽  
Vol 109 (5) ◽  
pp. 1293-1298 ◽  
Author(s):  
K. Kamal ◽  
S. Durvasula
Keyword(s):  
Circular Plate ◽  
Elastic Foundation ◽  
Plate On Elastic Foundation
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