Parametric instabilities of in-plane bending vibrations of a rotating ring coupled to multiple, discrete, rotating, time-varying stiffness spring-sets of general geometric description are investigated in this work. Instability boundaries are identified analytically using perturbation analysis and given as closed-form expressions in the system parameters. Ring rotation and time-varying stiffness significantly affect instability regions. Different configurations with a rotating and non-rotating ring, and rotating spring-sets are examined. Simple relations governing the occurrence and suppression of instabilities are discussed for special cases with symmetric circumferential spacing of spring-sets. These results are applied to identify possible conditions of ring gear instability in example planetary gears.
- Design Engineering Division and Computers and Information in Engineering Division
Parametric Instability of a Rotating Circular Ring With Moving, Time-Varying Springs
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Vangipuram Canchi, S, & Parker, RG. "Parametric Instability of a Rotating Circular Ring With Moving, Time-Varying Springs." Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C. Las Vegas, Nevada, USA. September 4–7, 2007. pp. 809-822. ASME. https://doi.org/10.1115/DETC2007-34393
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