Nonlinear Dynamic Analysis of Partially Supported Beam-Columns on Nonlinear Elastic Foundation Including Shear Deformation Effect

2010 ◽  
pp. 1-32 ◽  
Author(s):  
E.J. Sapountzakis ◽  
A.E. Kampitsis
Keyword(s):  
Dynamic Analysis ◽  
Shear Deformation ◽  
Elastic Foundation ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Analysis ◽  
Deformation Effect ◽  
Beam Columns ◽  
Nonlinear Elastic Foundation ◽  
Nonlinear Elastic

Nonlinear Dynamic Analysis for FGM Circular Plates

2012 ◽  
Vol 29 (2) ◽  
pp. 287-296 ◽  
Author(s):  
H.-L. Dai ◽  
X. Yan ◽  
L. Yang
Keyword(s):  
Dynamic Analysis ◽  
Shear Deformation ◽  
Circular Plate ◽  
Nonlinear Dynamic ◽  
Volume Fraction ◽  
Mechanical Load ◽  
Nonlinear Dynamic Analysis ◽  
Functionally Graded ◽  
Transient Problem ◽  
Nonlinear Transient

AbstractIn the paper, nonlinear dynamic analysis of a circular plate composed of functionally graded material (FGM) is presented. Considering a transverse shear deformation and geometric nonlinearity, the von Karman geometric relation of the FGM circular plate is established. Based on the theory of the first-order shear deformation, a new set of equilibrium equations is developed by the principle of minimum total energy. Applying the finite difference method and Newmark scheme, the nonlinear transient problem is solved by the iterative method. To validate the presented method, the transient problem of the FGM circular plate is compared with those of the existed literature, and good agreement is observed. The effects of the volume fraction index, boundary conditions, mechanical load and the ratio of thickness to radius on the nonlinear transient problem of the FGM circular plate are investigated.

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