Magneto-elastic dynamics and bifurcation of rotating annular plate *

2017 ◽  
Vol 26 (9) ◽  
pp. 094302 ◽  
Author(s):  
Yu-Da Hu ◽  
Jiang-Min Piao ◽  
Wen-Qiang Li
Keyword(s):  
Annular Plate ◽  
Rotating Annular Plate ◽  
Elastic Dynamics

Axisymmetric Vibration of Rotating Annular Plate with Variable Thickness Subjected to Tensile Centrifugal Body Force

2017 ◽  
Vol 17 (09) ◽  
pp. 1750101 ◽  
Author(s):  
Jae-Hoon Kang
Keyword(s):  
Variable Thickness ◽  
Body Force ◽  
Annular Plate ◽  
Ritz Method ◽  
Free Vibration Analysis ◽  
Angular Speed ◽  
Plane Elasticity ◽  
Outer Radius ◽  
Axisymmetric Vibration ◽  
Rotating Annular Plate

This paper is concerned with the axisymmetric free vibration analysis of a rotating annular plate with variable thickness by using the Ritz method. The rotating plate has a constant angular speed and subjected to a tensile centrifugal body force. The annular plate is fixed at the inner edge and free at the outer edge. Exact stresses, strains, and radial displacement of the rotating annular plate are obtained via plane elasticity. Presented herein are the natural frequencies and modes shapes for the rotating, nonuniform annular plate with various angular speeds and different ratios of the inner radius to the outer radius.

Asymmetric vibrations and stability of a rotating annular plate loaded by a torque

Meccanica ◽  
2007 ◽  
Vol 42 (6) ◽  
pp. 537-546 ◽  
Author(s):  
Ratko Maretic ◽  
Valentin Glavardanov ◽  
Dragi Radomirovic
Keyword(s):  
Annular Plate ◽  
Rotating Annular Plate

Effects of Shear Deformation and Rotary Inertia on the Free Vibration of a Rotating Annular Plate

1997 ◽  
Vol 119 (4) ◽  
pp. 641-643 ◽  
Author(s):  
A. Coˆte´ ◽  
N. Atalla ◽  
J. Nicolas
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Annular Plate ◽  
Outer Radius ◽  
Thickness Ratio ◽  
Rotary Inertia ◽  
Rotating Annular Plate ◽  
Heuristic Criterion

This Tech Brief addresses the effects of shear deformation and rotary inertia on the free vibration of a rotating annular plate. Several studies have been done to understand these effects (Irie et al, 1982; Sinha, 1987). In particular, the importance of these terms is well known for disks with a thickness ratio h/a > 0.05 where h is the thickness of the disk and a is its outer radius. However, there is a need to show how they affect the disk vibration as the thickness ratio increases. It is well accepted that shear deformation and rotary inertia should be included in the analysis when h/a > 0.05 (Batoz and Dhatt, 1990). However, this Tech Brief will show that this criterion is not valid for all the modes. It will present the evolution of the number of modes correctly evaluated versus the thickness ratio, and, finally, will give a heuristic criterion to predict when it is necessary to consider shear deformation and rotary inertia.

Vibration and Buckling Analysis of a Rotating Annular Plate Subjected to a Compressive Centrifugal Body Force

2018 ◽  
Vol 18 (07) ◽  
pp. 1850097
Author(s):  
Y. B. Yang ◽  
J. H. Kang
Keyword(s):  
Body Force ◽  
Annular Plate ◽  
Ritz Method ◽  
Angular Speed ◽  
Plane Elasticity ◽  
Outer Edge ◽  
Outer Radius ◽  
Mode Shapes ◽  
Rotating Annular Plate ◽  
Significant Figures

The free vibration and buckling of a rotating annular plate with constant angular speed free at the inner edge and fixed at the outer edge subjected to a compressive centrifugal body force are analyzed using the Ritz method. Exact stress components and radial displacement of the rotating annular plate are obtained via the plane elasticity. Convergence studies in the frequencies and the critical buckling angular speed are made up to four significant figures. The natural frequencies and the corresponding mode shapes and the critical buckling angular speeds are presented for the rotating annular plates with various angular speeds and ratios of the inner radius to the outer radius.

Sign in / Sign up

Export Citation Format

Share Document