A closed form solution for linear and nonlinear free vibrations of composite and fiber metal laminated rectangular plates

2010 ◽  
Vol 92 (11) ◽  
pp. 2663-2675 ◽  
Author(s):  
A. Shooshtari ◽  
S. Razavi
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Free Vibrations ◽  
Form Solution ◽  
Rectangular Plates ◽  
Linear And Nonlinear ◽  
Fiber Metal

On the buckling analysis of isotropic, transversely isotropic, and laminated rectangular plates via Reddy plate theory: an exact closed-form procedure

2011 ◽  
Vol 226 (5) ◽  
pp. 1210-1224 ◽  
Author(s):  
Sh Hosseini-Hashemi ◽  
S R Atashipour ◽  
M Fadaee
Keyword(s):  
Closed Form ◽  
Plate Theory ◽  
Closed Form Solution ◽  
Shear Deformation Theory ◽  
Transversely Isotropic ◽  
Form Solution ◽  
Laminated Plates ◽  
Rectangular Plates ◽  
Third Order ◽  
Solution Methods

Based on Reddy's third-order shear deformation theory, an exact closed-form solution is proposed to describe linear buckling of transversely isotropic laminated rectangular plates under either mono- or bi-axial compressive in-plane loads. To this end, the coupled governing equations are exactly converted to two sets of uncoupled equations for in-plane and transverse deformations of symmetric laminated plates. The new uncoupled equations are analytically solved by applying both Navier and Lévy-type solution methods. The validity and high accuracy of the current exact solution are evaluated by comparing the present results with their counterparts reported in literature.

On a Closed-Form Solution of Prandtl's System of Equations

2013 ◽  
Vol 40 (2) ◽  
pp. 106-114
Author(s):  
J. Venetis ◽  
Aimilios (Preferred name Emilios) Sideridis
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
System Of Equations
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