On the Free Vibration of Thin Isotropic and Rectangularly Orthotropic Plates Involving Curved Boundaries

1993 ◽  
Vol 165 (3) ◽  
pp. 511-526 ◽  
Author(s):  
P.G. Young ◽  
S.M. Dickinson
Keyword(s):  
Free Vibration ◽  
Orthotropic Plates ◽  
Curved Boundaries

Free vibration solution for clamped orthotropic plates using Lagrangian multiplier technique

AIAA Journal ◽  
1987 ◽  
Vol 25 (1) ◽  
pp. 146-151 ◽  
Author(s):  
R. L. Ramkumar ◽  
P. C. Chen ◽  
W. J. Sanders
Keyword(s):  
Free Vibration ◽  
Lagrangian Multiplier ◽  
Orthotropic Plates

On the Bending of Rectangular Orthotropic Plates with Small Initial Curvature

1964 ◽  
Vol 68 (640) ◽  
pp. 280-280 ◽  
Author(s):  
N. R. Rajappa
Keyword(s):  
Free Vibration ◽  
Lateral Load ◽  
Initial Deflection ◽  
Plate Vibration ◽  
Lateral Loads ◽  
Deflection Curve ◽  
Orthotropic Plates ◽  
Bending Analysis ◽  
Initial Curvature

Bending analysis of rectangular orthotropic plates due to lateral loads has been considered by many writers. A small initial curvature has no effect on the bending of a plate due to the action of a lateral load, and the final deflection curve may be obtained by superposing the ordinates due to the initial curvature on the deflections calculated as for a straight plate, but when the plate is subjected to compressive forces acting in the plane of the plate, the initial curvature influences considerably the deflections produced by these forces. The analogy between bending of orthotropic plates with small initial curvature and the plate vibration is established here by expressing the ratio of the initial deflection to the additional deflection in terms of the frequencies of free vibration.

The Flexural Vibration of Rectangular Orthotropic Plates

1969 ◽  
Vol 36 (1) ◽  
pp. 101-106 ◽  
Author(s):  
S. M. Dickinson
Keyword(s):  
Free Vibration ◽  
Series Solution ◽  
Flexural Vibration ◽  
Numerical Results ◽  
Sine Series ◽  
Orthotropic Plates ◽  
Isotropic Plates ◽  
Support Conditions

A sine series solution previously used for the study of the flexural vibration of rectangular isotropic plates is extended to apply to the free vibration of orthotropic plates. Application to three particular plates with different support conditions is given and numerical results are presented for two of these examples. Where possible, the numerical results presented are compared with values given by other writers.

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