On the Deformation and Reverse Snapping Speed of a Spinning Disk with Unsymmetrical Initial Shape
Date Issued
2005
Date
2005
Author(s)
CHANG, YUNG-YEH
DOI
zh-TW
Abstract
In this paper we study the steady state deflection and reverse snapping phenomenon of a spinning non-flat disk. Both the initial and the deformed shapes of the disk are allowed to have axisymmetrical and unsymmetrical components. For the analysis of a rotating axisymmetrical disk, we conclude that there is no need to include the unsymmetrical assumed modes in the expansion because all the unsymmetrical deformations are unstable and the stability of the axisymmetrical positions will not be changed. We then consider the case when the initial shape of the disk contains a dominant axisymmetrical component and a smaller unsymmetrical component. Attention is focused on the effect of this unsymmetrical component on the overall deformation and stability of the spinning disk. It is found that the unsymmetrical component with one nodal diameter tends to slightly defer the occurrence of the reverse snapping phenomenon. On the other hand, all other unsymmetrical components with more than one nodal diameter tend to reduce dramatically the reverse snapping speed. Experiment is conducted on a non-flat copper disk containing an axisymmetrical component and an unsymmetrical component with two nodal-diameters. The experimental measurement confirms the theoretical prediction.
Subjects
非對稱旋轉圓盤
葛拉金法
折斷式挫曲
Unsymmetrically Spinning Disk
Snap Through
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-94-R92522528-1.pdf
Size
23.53 KB
Format
Adobe PDF
Checksum
(MD5):1228df52d81d9d78c4b5a914c4c02aec