In-plane free vibration and stability of rotating annular discs

Author:

Hamidzadeh H R1

Affiliation:

1. Tennessee State University Department of Mechanical and Manufacturing Engineering 3500 John A. Merritt Blvd, Nashville, Tennessee 37209-1561, USA

Abstract

The in-plane free vibration in an elastic, isotropic, rotating annular disc is investigated on the basis of the two-dimensional linear plane stress theory of elasticity. An analytical solution of the governing equations is developed. Accurate natural frequencies and mode shapes for several modes at different radius ratios and boundary conditions are determined. The computed results demonstrate the influence of rotational speed and radius ratio on the natural frequencies and elastic stability of the rotating discs for several modes. Comparisons of the results with previously established results indicate excellent agreement.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Condensed Matter Physics

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