Bending analysis of thick laminated plates using extended Kantorovich method

Bending analysis of thin annular sector plates using extended Kantorovich method

“…Since then, EKM has been extensively used for various 2-D elasticity problems in Cartesian coordinate system. Among these applications, one can refer to eigenvalue problem [3], buckling [4] and free vibration [5] of thin rectangular plates, bending of thick rectangular isotropic [6,7] and orthotropic [8] plates and free-edge strength analysis [9]. Most recent EKM articles include vibration of variable thickness [10] and buckling of symmetrically laminated [11] rectangular plates.…”

Analytical solutions for bending analysis of rectangular laminated plates with arbitrary lamination and boundary conditions

“…They showed that the convergence of the method is very rapid, in that the final form of their single-term solution is reached after only four iterations, and that the final results are independent of the initial choice. Aghdam and Falahatgar [28] presented a single-term solution for bending analysis of moderately thick rectangular symmetric cross-ply laminates with clamped edges subjected to a uniform distributed load. Recently, Abouhamze et al [29] presented a similar work for thin symmetric cross-ply cylindrical panels with clamped edges subjected to three different loading conditions (uniform, linear and sinusoidal).…”

A semi-analytical study on static behavior of thin skew plates on Winkler and Pasternak foundations

“…Since then, the Extended Kantorovich Method (EKM) extensively has been applied for various 2D elasticity problems in Cartesian coordinates system. Among these applications, one can refer to eigenvalue problems [3], buckling [4] and free vibrations [5] of thin rectangular plates, bending of thick rectangular isotropic [6,7] and orthotropic [8] plates and free-edge strength analysis [9]. Most recent EKM based articles include vibration of variable thickness [10] and buckling of symmetrically laminated [11] rectangular plates.…”