Journal article
Response, stability and conservation laws for the sleeping top problem
Journal of sound and vibration, v 158(1)
1992
Abstract
Application of the notion of separability and commutativity of some parameter matrices, to equations of motion of a gyroscopic system, illustrated by the “sleeping top” problem, can be reformulated in a transformed domain in which they are uncoupled. The new uncoupled equations lead to a simple formulation of the response, stability, and the establishment of a complete set of conservation laws. Their counterparts in the original physical variables are recovered by the utilization of the rotation matrix which connects the two domains.
Metrics
Details
- Title
- Response, stability and conservation laws for the sleeping top problem
- Creators
- L.Y. Bahar - Drexel University
- Publication Details
- Journal of sound and vibration, v 158(1)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1992JU41000003
- Scopus ID
- 2-s2.0-0027115444
- Other Identifier
- 991019174622304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Acoustics
- Engineering, Mechanical
- Mechanics