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 nonrotating 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.
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April 2006
Technical Papers
Parametric Instability of a Rotating Circular Ring With Moving, Time-Varying Springs
Sripathi Vangipuram Canchi,
Sripathi Vangipuram Canchi
Research Assistant
Mem. ASME
Department of Mechanical Engineering,
Ohio State University
, 650 Ackerman Road, Columbus, OH 43202
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Robert G. Parker
Robert G. Parker
Mem. ASME
Department of Mechanical Engineering,
e-mail: parker.242@osu.edu
Ohio State University
, 650 Ackerman Road, Columbus, OH 43202
Search for other works by this author on:
Sripathi Vangipuram Canchi
Research Assistant
Mem. ASME
Department of Mechanical Engineering,
Ohio State University
, 650 Ackerman Road, Columbus, OH 43202
Robert G. Parker
Mem. ASME
Department of Mechanical Engineering,
Ohio State University
, 650 Ackerman Road, Columbus, OH 43202e-mail: parker.242@osu.edu
J. Vib. Acoust. Apr 2006, 128(2): 231-243 (13 pages)
Published Online: August 30, 2005
Article history
Received:
March 17, 2005
Revised:
August 30, 2005
Citation
Canchi, S. V., and Parker, R. G. (August 30, 2005). "Parametric Instability of a Rotating Circular Ring With Moving, Time-Varying Springs." ASME. J. Vib. Acoust. April 2006; 128(2): 231–243. https://doi.org/10.1115/1.2159040
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