Modes at Rest and Their Stability in Coupled Non-Linear Systems
- 1 June 1961
- journal article
- research article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 3 (2), 163-173
- https://doi.org/10.1243/jmes_jour_1961_003_022_02
Abstract
This paper deals with the stability of modes at rest in free, undamped non-linear two-degree-of-freedom systems governed by equations of motion of the form The conditions necessary for the existence of motion in a single mode are discussed and a criterion for stability of the mode at rest established. The theory is compared with results of tests made on an experimental model. The effect of viscous damping on stability is also examined. The results obtained are applicable to current practical problems in the field of vibration isolation and suppression.Keywords
This publication has 4 references indexed in Scilit:
- On the Natural Modes and Their Stability in Nonlinear Two-Degree-of-Freedom SystemsJournal of Applied Mechanics, 1959
- Instability and Steady-State Coupled Motions in Vibration Isolating SuspensionsJournal of Mechanical Engineering Science, 1959
- Stabilitätsfragen bei freien Schwingungen mechanischer SystemeArchive of Applied Mechanics, 1959
- Free Undamped Non-Linear Vibrations of Imperfect Circular DisksProceedings of the Institution of Mechanical Engineers, 1957