Document Type
Thesis - University Access Only
Award Date
2000
Degree Name
Master of Science (MS)
Department / School
Mechanical Engineering
Abstract
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
Format
application/pdf
Number of Pages
324
Publisher
South Dakota State University
Recommended Citation
Wang, Huinan, "In-Plane Free Vibration and Stability of Rotating Annuler Disks" (2000). Electronic Theses and Dissertations. 785.
https://openprairie.sdstate.edu/etd2/785