Efficient Series Solutions for Shear Forces of Vibrating Thin Rectangular Plates on Elastic Foundation with Thermal Loads

PAMM ◽  
2011 ◽  
Vol 11 (1) ◽  
pp. 223-224 ◽  
Author(s):  
Helmut J. Holl ◽  
Wenqi Liu
Keyword(s):  
Elastic Foundation ◽  
Thermal Loads ◽  
Rectangular Plates ◽  
Series Solutions ◽  
Shear Forces ◽  
Plates On Elastic Foundation

A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation

2017 ◽  
Vol 12 (1) ◽  
pp. 9-34 ◽  
Author(s):  
Abdelkarim Benahmed ◽  
Mohammed Sid Ahmed Houari ◽  
Samir Benyoucef ◽  
Khalil Belakhdar ◽  
Abdelouahed Tounsi
Keyword(s):  
Shear Deformation ◽  
Elastic Foundation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Plates On Elastic Foundation

Thin Rectangular Plates on Elastic Foundation

1952 ◽  
Vol 19 (3) ◽  
pp. 361-368
Author(s):  
H. J. Fletcher ◽  
C. J. Thorne
Keyword(s):  
Boundary Conditions ◽  
Rectangular Plate ◽  
Elastic Foundation ◽  
Numerical Solutions ◽  
The Other ◽  
Rectangular Plates ◽  
Transverse Loads ◽  
Sine Transform ◽  
Special Cases ◽  
Plates On Elastic Foundation

Abstract The deflection of a thin rectangular plate on an elastic foundation is given for the case in which two opposite edges have arbitrary but given deflections and moments. Six important cases of boundary conditions on the remaining two edges are treated. The solution is given for general transverse loads which are continuous in one direction and sectionally continuous in the other. By use of the sine transform the solution is obtained as a single trigonometric series. Numerical solutions are obtained for six special cases.

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