Large deformation analysis of orthotropic skew plates with nonlinear rotationally restrained edges using DQM

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

“…In these works, the finite difference technique with a triangular mesh and the differential quadrature method (DQ) were used for the study of isotropic and laminated skew plates, respectively. The later study was further extended for the nonlinear analysis of skew plates with more general boundary conditions in Malekzadeh and Fiouz [8]. Two DQ formulations were presented for thin and thick skew plates with nonlinear rotationally restrained edges providing the solution for various cases ranging from simply supported to fully clamped boundary conditions.…”

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

“…The authors of the present paper, for the first time applied EKM in oblique coordinate system for bending of skew plates under clamp boundary conditions without considering foundations and stress analysis [14]. Based on the other solution methods, several research have studied bending, buckling, vibration and other analysis for skew plates in term of oblique coordinate system [15][16][17][18][19][20]. Importance increase of the structures interaction with the elastic medium, the Winkler-Pasternak foundation is studied in structural designs [21,22].…”

Nonlinear free vibration of tapered Mindlin plates with edges elastically restrained against rotation using DQM

“…DQM is a relatively new numerical technique in structural analyses [3,[12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. It was employed for some nonlinear free vibration of isotropic beams and orthotropic rectangular plates.…”