Vibration Analysis of Rectangular Plates with Mixed Boundary Conditions and Sprung Masses using the Differential Quadrature Method

2006 ◽  
Vol 6 (7) ◽  
pp. 1463-1471
Author(s):  
Ming-Hung Hsu
Keyword(s):  
Boundary Conditions ◽  
Vibration Analysis ◽  
Mixed Boundary ◽  
Differential Quadrature Method ◽  
Mixed Boundary Conditions ◽  
Differential Quadrature ◽  
Rectangular Plates ◽  
Quadrature Method

A modified state space differential quadrature method for free vibration analysis of soft-core sandwich panels

2017 ◽  
Vol 21 (6) ◽  
pp. 1843-1879 ◽  
Author(s):  
Balavishnu Udayakumar ◽  
KV Nagendra Gopal
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
State Space ◽  
Vibration Analysis ◽  
Differential Quadrature Method ◽  
Sandwich Panels ◽  
Free Vibration Analysis ◽  
Differential Quadrature ◽  
Soft Core ◽  
Quadrature Method

Modifications and improvements to conventional state space differential quadrature method are proposed for free vibration analysis of thick, soft-core sandwich panels with arbitrary edge boundary conditions, using an exact two-dimensional elasticity model. The modifications are based on a systematic procedure to implement all possible combinations of edge boundary conditions including simply supported, clamped, free and guided edges. Natural frequencies and mode shapes are obtained and compared with exact elasticity solutions from state space method and approximate solution from finite element simulations; demonstrating the high numerical accuracy and rapid convergence of the modified method. Further, the proposed framework is compared to the conventional implementation of the state space differential quadrature method for thick cantilever sandwich panels and is shown to give results with better accuracy and faster convergence.

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