SYMMETRIC PLANAR VIBRATIONS OF A ROTATING DISK
Abstract
The complete problem of coupled symmetric radial and torsional vibrations of a thin rotating circular disk has been solved using undeformed coordinates. The formulation of the problem used yields several interesting and previously unreported results for the static problem. Two types of instabilities occur, static resonances and classical instabilities, for which radial and torsional displacements everywhere in the disk can become unboundedly large. These resonances were explained physically. The solutions of the frequency equation and the mode shapes are obtained. The effect of rotation is to lower the natural frequencies of the disk. When deformed coordinates are used, as is the case in the classical analysis of a rotating disk, the instabilities are concealed and are not nearly as obvious. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 30, 1962
- Accession Number
- AD0277698
Entities
People
- John P. Jones
- Pravin G. Bhuta