Thesis - University Access Only
Master of Science (MS)
Department / School
The linear in-plane free vibration of a thin, elastic, homogeneous, rotating annular disk is investigated on the basis of the two-dimensional theory of elasticity. The general governing equations of motion are derived and an analytical solution of the governing equations is developed. Natural frequencies are found for several modes at different radius ratios and boundary conditions. Critical speeds for different radius ratios and boundary conditions are determined. The computed results were compared to previously established results. It was observed that the effects of rotational speed and radius ratio on natural frequency and elastic stability of the rotating disks depended on the mode of vibration, type of circumferential wave occurring, and boundary conditions. The relation between natural frequencies experienced in fixed coordinate system and in rotating coordinate system is discussed.
Library of Congress Subject Headings
Disks, Rotating -- Vibration Disks, Rotating -- Stability
Number of Pages
South Dakota State University
Wang, Huinan, "In-Plane Free Vibration and Stability of Rotating Annuler Disks" (2000). Electronic Theses and Dissertations. 785.