Thickness‐Shear and Flexural Vibrations of a Circular Disk

1954 ◽  
Vol 25 (10) ◽  
pp. 1329-1332 ◽  
Author(s):  
R. D. Mindlin ◽  
H. Deresiewicz
Keyword(s):  
Circular Disk ◽  
Flexural Vibrations ◽  
Thickness Shear

Axially Symmetric Flexural Vibrations of a Circular Disk

1955 ◽  
Vol 22 (1) ◽  
pp. 86-88
Author(s):  
H. Deresiewicz ◽  
R. D. Mindlin
Keyword(s):  
Shear Deformation ◽  
Frequency Spectrum ◽  
Classical Theory ◽  
Circular Disk ◽  
Axially Symmetric ◽  
Rotatory Inertia ◽  
High Frequencies ◽  
Flexural Vibrations ◽  
Thickness Shear ◽  
Free Edges

Abstract At high frequencies, the flexural vibrations of a plate are described very poorly by the classical (Lagrange) theory because of neglect of the influence of coupling with thickness-shear vibrations. The latter may be taken into account by inclusion of rotatory inertia and shear-deformation terms in the equations. The resulting frequency spectrum is given, in this paper, for the case of axially symmetric vibrations of a circular disk with free edges and is compared with the spectrum predicted by the classical theory.

Dependence of the Frequency Spectrum of a Circular Disk on Poisson’s Ratio

1957 ◽  
Vol 24 (1) ◽  
pp. 53-54
Author(s):  
R. L. Sharma
Keyword(s):  
Frequency Spectrum ◽  
Poisson’S Ratio ◽  
Circular Disk ◽  
Intermediate Frequency ◽  
Poisson's Ratio ◽  
Axially Symmetric ◽  
Frequency Range ◽  
Flexural Vibrations ◽  
Circular Disks

Abstract The results of computations of frequencies of axially symmetric flexural vibrations of circular disks are given for an intermediate frequency range and for several values of Poisson’s ratio.

Symmetric Flexural Vibrations of a Clamped Circular Disk

1956 ◽  
Vol 23 (2) ◽  
pp. 319
Author(s):  
H. Deresiewicz
Keyword(s):  
Shear Deformation ◽  
Frequency Spectrum ◽  
Transverse Shear ◽  
Circular Disk ◽  
Transverse Shear Deformation ◽  
Axially Symmetric ◽  
Rotatory Inertia ◽  
Flexural Vibrations ◽  
Clamped Edges

Abstract The frequency spectrum is computed for the case of free, axially symmetric vibrations of a circular disk with clamped edges, using a theory which includes the effects of rotatory inertia and transverse shear deformation.

Thickness‐Shear and Flexural Vibrations of Contoured Crystal Plates

1954 ◽  
Vol 25 (1) ◽  
pp. 12-20 ◽  
Author(s):  
R. D. Mindlin ◽  
M. Forray
Keyword(s):  
Flexural Vibrations ◽  
Thickness Shear
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