Bending analysis of thin annular sector plates using extended Kantorovich method

Static and transient analysis of laminated cylindrical shell panels with various boundary conditions and general lay‐ups

“…Thus, numerical techniques, as alternatives to analytical approaches, have been developed to obtain solutions for different structural components subjected to various types of loadings and boundary conditions. Among these numerical studies, one can refer to the finite difference [1], finite element [2,3], boundary element [4], dynamic relaxation [5], extended Kantorovich [6,7], meshless [8], differential quadrature (DQ) [9], differential cubature (DC) [10], and generalized differential quadrature [11][12][13] methods.…”

A semi-analytical approach for the geometrically nonlinear analysis of trapezoidal plates

“…(18a-d) include nonlinear terms and do not have a general closed-form solution. Although, the classical single term EKM [13,17] makes use of analytical methods for a solution of the resulting linear ODE, it has also been shown that taking advantage of the robust and reliable numerical ODE solvers, the multi-term nonlinear formulation of the method can be adopted opening a new and broad field of applications [19,20,22,23]. In the present study, the obtained nonlinear system along with the boundary conditions is solved using the boundary value problem solver incorporated in MATLAB.…”

“…[15,16]), it was shown that the single term formulation can provide a reasonable approximation of the transverse performance of rectangular plates. Later, Aghdam and co-workers extended the application of the EKM to the analysis of annular and sector plates, using a single-term approximation [17,18]. At the same time, it was found that this simplest assumption fails to assess the response of plates in more complicated cases of analyses.…”

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

“…Finally, a few research consider polar coordinates e.g. using EKM for sector plates [13]. All these applications of EKM, are devoted and restricted to the problems in the Cartesian and Polar coordinate systems.…”