Transverse vibrations of simply supported orthotropic rectangular plates with rectangular and circular cut-outs carrying an elastically mounted concentrated mass

1999 ◽  
Vol 7 (5) ◽  
pp. 503-512 ◽  
Author(s):  
D.R. Avalos ◽  
H.A. Larrondo ◽  
P.A.A. Laura
Keyword(s):  
Rectangular Plates ◽  
Concentrated Mass ◽  
Simply Supported ◽  
Transverse Vibrations

Mode shapes and frequencies of thin rectangular plates with arbitrarily varying non-homogeneity along two concurrent edges

2016 ◽  
Vol 23 (17) ◽  
pp. 2841-2865 ◽  
Author(s):  
Roshan Lal ◽  
Renu Saini
Keyword(s):  
Eigenvalue Problems ◽  
Plate Theory ◽  
Differential Quadrature Method ◽  
Three Dimensional ◽  
Mode Shapes ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Transverse Vibrations ◽  
Modes Of Vibration ◽  
Generalized Differential

Analysis and numerical results are presented for free transverse vibrations of isotropic rectangular plates having arbitrarily varying non-homogeneity with the in-plane coordinates along the two concurrent edges on the basis of Kirchhoff plate theory. For the non-homogeneity, a general type of variation for Young’s modulus and density of the plate material has been assumed. Generalized differential quadrature method has been used to obtain the eigenvalue problem for such model of plates for four different combinations of boundary conditions at the edges namely, (i) fully clamped, (ii) two opposite edges are clamped and other two are simply supported, (iii) two opposite edges are clamped and other two are free, and (iv) two opposite edges are simply supported and other two are free. By solving these eigenvalue problems using software MATLAB, the lowest three eigenvalues have been reported as the first three natural frequencies for the first three modes of vibration. The effect of various plate parameters on the vibration characteristics has been analysed. Three dimensional mode shapes have been plotted. A comparison of results with those available in literature has been presented.

Nonlinear transverse vibrations of a slightly curved beam carrying a concentrated mass

2009 ◽  
Vol 25 (6) ◽  
pp. 871-882 ◽  
Author(s):  
E. Özkaya ◽  
M. Sarigül ◽  
H. Boyaci
Keyword(s):  
Curved Beam ◽  
Concentrated Mass ◽  
Transverse Vibrations

Transverse vibrations of continuous rectangular plates: A comparison of results

1989 ◽  
Vol 26 (2) ◽  
pp. 149-154 ◽  
Author(s):  
L. Ercoli ◽  
P.A.A. Laura ◽  
H.C. Sanzi
Keyword(s):  
Rectangular Plates ◽  
Comparison Of Results ◽  
Transverse Vibrations
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