An analytical solution for static analysis of a simply supported moderately thick sandwich piezoelectric plate

2004 ◽  
Vol 17 (5) ◽  
pp. 641-654 ◽  
Author(s):  
Lanhe Wu ◽  
Zhiqing Jiang ◽  
Wenjie Feng
Keyword(s):  
Analytical Solution ◽  
Static Analysis ◽  
Piezoelectric Plate ◽  
Simply Supported

scholarly journals Analytical solution to bending of stiffened and continuous antisymmetric laminates

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
Liecheng Sun ◽  
Issam E. Harik
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Analytical Solution ◽  
Displacement Function ◽  
The Other ◽  
Order Partial Differential Equation ◽  
Eighth Order ◽  
Coupling Problem ◽  
Simply Supported ◽  
General Response

AbstractAnalytical Strip Method is presented for the analysis of the bending-extension coupling problem of stiffened and continuous antisymmetric thin laminates. A system of three equations of equilibrium, governing the general response of antisymmetric laminates, is reduced to a single eighth-order partial differential equation (PDE) in terms of a displacement function. The PDE is then solved in a single series form to determine the displacement response of antisymmetric cross-ply and angle-ply laminates. The solution is applicable to rectangular laminates with two opposite edges simply supported and the other edges being free, clamped, simply supported, isotropic beam supports, or point supports.

scholarly journals Three Dimensional Static Solution of Simply Supported Single Layer Piezoelectric Plate

2016 ◽  
Vol 82 (4) ◽  
Author(s):  
Sandeep S. Pendhari ◽  
Sameer S. Sawarkar ◽  
Yogesh M. Desai ◽  
Nilesh Patil
Keyword(s):  
Piezoelectric Plate ◽  
Three Dimensional ◽  
Single Layer ◽  
Static Solution ◽  
Simply Supported

An Analytical Method for Static Analysis of Double Layer Grids

1989 ◽  
Vol 4 (2) ◽  
pp. 107-116 ◽  
Author(s):  
H.C. Chan ◽  
C.W. Cai ◽  
Y.K. Cheung
Keyword(s):  
Exact Solutions ◽  
Static Analysis ◽  
Double Layer ◽  
Analytical Method ◽  
Transformation Technique ◽  
Simply Supported ◽  
Axial Forces ◽  
Nodal Displacements

An analytical method for the static analysis of double layer grids consisting of diagonals and top and bottom layers which are plane orthogonal grids is presented. It is assumed that the double layer grid is simply supported at all nodes located at the boundary of the top layer. By using the double U-transformation technique, exact solutions for the nodal displacements and axial forces of the bars in the double layer grid can be derived. The validity of the method is demonstrated with a simple example.

The Support Reaction of a Simply Supported and Uniformly Loaded Thin Circular Aeolotropic Plate

2008 ◽  
Vol 75 (2) ◽  
Author(s):  
Kjell Eriksson
Keyword(s):  
Analytical Solution ◽  
Series Solution ◽  
Lateral Load ◽  
Anisotropic Materials ◽  
Higher Order ◽  
Simply Supported ◽  
Support Reaction ◽  
Degree Of Anisotropy

A previous analytical solution of the deflection of a thin circular aeolotropic plate, with simply supported edge and uniform lateral load, has been used to derive approximate series expressions for the plate support reaction, which are directly applicable in practice. The support reaction, which has been calculated for some typical anisotropic materials of varying degree of anisotropy, varies significantly along the plate perimeter and strongly anisotropic materials require in general a higher order series solution. Certain solution constants of previous deflection approximations were not found to harmonize and are therefore recalculated.

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