LARGE AMPLITUDE CIRCULAR PLATE VIBRATION WITH TRANSVERSE SHEAR AND ROTATORY INERTIA EFFECTS

1996 ◽  
Vol 194 (3) ◽  
pp. 463-469 ◽  
Author(s):  
M. Sathyamoorthy
Keyword(s):  
Circular Plate ◽  
Transverse Shear ◽  
Large Amplitude ◽  
Plate Vibration ◽  
Rotatory Inertia ◽  
Inertia Effects

Effect of Transverse Shear and Rotatory Inertia on Large Amplitude Vibration of Anisotropic Skew Plates: Part 1—Theory

1980 ◽  
Vol 47 (1) ◽  
pp. 128-132 ◽  
Author(s):  
M. Sathyamoorthy ◽  
C. Y. Chia
Keyword(s):  
Boundary Conditions ◽  
Transverse Shear ◽  
Large Amplitude ◽  
Transverse Shear Deformation ◽  
Rotatory Inertia ◽  
Inertia Effects ◽  
Various Boundary Conditions ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration ◽  
Anisotropic Elastic

A nonlinear vibration theory for anisotropic elastic skew plates is developed with the aid of Hamilton’s principle. The effects of transverse shear deformation and rotatory inertia are included in the analysis. The differential equations formulated here readily reduce to the dynamic von Karman-type equations of skew plates when the shear and rotatory inertia effects are neglected. Solutions to these equations are presented for various boundary conditions in the second part of the paper.

Shear and Rotatory Inertia Effects on the Large Amplitude Vibration of the Initially Imperfect Plates

1980 ◽  
Vol 47 (3) ◽  
pp. 662-666 ◽  
Author(s):  
Z. Celep
Keyword(s):  
Transverse Shear ◽  
Vibration Mode ◽  
Initial Imperfection ◽  
Flexural Vibration ◽  
Rotatory Inertia ◽  
Inertia Effects ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration ◽  
Elastic Rectangular Plate ◽  
Modal Equation

In this paper, the free flexural vibration of an elastic rectangular plate having initial imperfection is investigated including the effects of transverse shear and rotatory inertia. It is assumed that the vibration occurs with large amplitudes which leads to nonlinear differantial equations. On the basis of an assumed vibration mode, the modal equation of the plate is obtained and solved numerically.

Large Amplitude Elliptical Plate Vibration With Transverse Shear and Rotatory Inertia Effects

1982 ◽  
Vol 104 (2) ◽  
pp. 426-431 ◽  
Author(s):  
M. Sathyamoorthy
Keyword(s):  
Shear Deformation ◽  
Transverse Shear ◽  
Large Amplitude ◽  
Mode Analysis ◽  
Transverse Shear Deformation ◽  
Rotatory Inertia ◽  
Semi Major Axis ◽  
Nonlinear Bending ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration

An improved nonlinear vibration theory is used in the present analysis to study the effects of transverse shear deformation and rotatory inertia on the large amplitude vibration behavior of isotropic elliptical plates. When these effects are negligible the differential equations given here readily reduce to the well-known dynamic von Ka´rma´n equations. Based on a single-mode analysis, solutions to the governing equations are presented for immovably clamped elliptical plates by use of Galerkin’s method and the numerical Runge-Kutta procedure. An excellent agreement is found between the present results and those available for nonlinear bending and large amplitude vibration of elliptical plates. The present results for moderately thick elliptical plates indicate significant influences of the transverse shear deformation, axes ratio, and semi-major axis-to-thickness ratio on the large amplitude vibration of elliptical plates.

Sign in / Sign up

Export Citation Format

Share Document