Buckling analysis of orthotropic thin rectangular plates subjected to nonlinear in-plane distributed loads using generalized differential quadrature method

2018 ◽  
Vol 19 (2) ◽  
pp. 102-116 ◽  
Author(s):  
F. Poodeh ◽  
F. Farhatnia ◽  
Mohammad Raeesi
Keyword(s):  
Differential Quadrature Method ◽  
Buckling Analysis ◽  
Differential Quadrature ◽  
Rectangular Plates ◽  
Quadrature Method ◽  
Generalized Differential Quadrature Method ◽  
Generalized Differential

Free transverse vibration analysis of thin rectangular plates locally suspended on elastic beam

2012 ◽  
Vol 227 (7) ◽  
pp. 1515-1524 ◽  
Author(s):  
M Golkaram ◽  
MM Aghdam
Keyword(s):  
Transverse Vibration ◽  
Plate Theory ◽  
Rectangular Cross Section ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Rectangular Plates ◽  
Quadrature Method ◽  
Generalized Differential Quadrature Method ◽  
Free Transverse Vibration ◽  
Generalized Differential

Free transverse vibration of thin rectangular plates locally suspended on deformable beam is presented using generalized differential quadrature method. The plate is completely free at all edges except a local region which is attached to a thin beam with rectangular cross section. The other side of the beam is fixed and the whole system is subjected to free transverse vibrations. According to classical plate theory and Euler–Bernoulli beam assumption, two coupled partial differential equations of the system are obtained. The governing equations and solution domain are discretized based on the generalized differential quadrature method and natural frequencies of the plate attached to the beam are obtained. Accuracy of the predictions is investigated using four simplified cases which show reasonably good agreement. For the general case, however, due to lack of data in the literature, predictions are compared with finite element results, which also demonstrate close agreement.

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