Document Type
Thesis - University Access Only
Award Date
1998
Degree Name
Master of Science in Engineering (MSE)
Department / School
Mechanical Engineering
Abstract
Linear in-plane free vibration of a thin homogeneous, isotropic, and elastic rotating disk is researched in this thesis. Two dimensional theory of elasticity is employed to develop the general governing equations of motion. A constant angular velocity is assumed in this analysis. The wave equations and Bessel functions of the first and second kind are utilized to obtain the natural frequencies. Natural frequencies are found for certain combinations of nodal diameters and nodal circles, for clamping ratios of 0.001, 0.2, 0.3, 0.5, and 0.7. Results of the natural frequencies were compared to those of Burdess, Wren and Fawcett (1987) and Chen and Jhu(1996). Stiffness of the disk was found to be an important factor in the results. It was observed that the effect of clamping ratio was to increase the natural frequencies for the various modes of vibration. Effects of rotational speed on the natural frequencies were seen to depend on the clamping ratio, mode of vibration and type of circumferential wave occurring.
Library of Congress Subject Headings
Disks, Rotating -- Vibration
Format
application/pdf
Number of Pages
168
Publisher
South Dakota State University
Recommended Citation
Sockalingam, Chandru, "Linear In-plane Free Vibration of a Rotating Disk" (1998). Electronic Theses and Dissertations. 500.
https://openprairie.sdstate.edu/etd2/500