The dynamic response of a helicopter planetary gear system is examined over a wide range of operating speeds and torques. The analysis tool is a unique, semianalytical finite element formulation that admits precise representation of the tooth geometry and contact forces that are crucial in gear dynamics. Importantly, no a priori specification of static transmission error excitation or mesh frequency variation is required; the dynamic contact forces are evaluated internally at each time step. The calculated response shows classical resonances when a harmonic of mesh frequency coincides with a natural frequency. However, peculiar behavior occurs where resonances expected to be excited at a given speed are absent. This absence of particular modes is explained by analytical relationships that depend on the planetary configuration and mesh frequency harmonic. The torque sensitivity of the dynamic response is examined and compared to static analyses. Rotational mode response is shown to be more sensitive to input torque than translational mode response. [S1050-0472(00)00403-7]
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September 2000
Technical Papers
Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model
Vinayak Agashe,
Vinayak Agashe
Department of Mechanical Engineering, The Ohio State University, 206 W. 18th Ave., Columbus, OH 43201-1107
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Sandeep M. Vijayakar
Sandeep M. Vijayakar
Advanced Numerical Solutions, 3554 Mark Twain Ct., Hilliard, OH 43026
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Robert G. Parker
11
Associate Professor
Vinayak Agashe
Department of Mechanical Engineering, The Ohio State University, 206 W. 18th Ave., Columbus, OH 43201-1107
Sandeep M. Vijayakar
Advanced Numerical Solutions, 3554 Mark Twain Ct., Hilliard, OH 43026
Contributed by the Power Transmission & Gearing Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received May 1999. Associate Technical Editor: R. F. Handschuh.
J. Mech. Des. Sep 2000, 122(3): 304-310 (7 pages)
Published Online: May 1, 1999
Article history
Received:
May 1, 1999
Citation
Parker, R. G., Agashe, V., and Vijayakar, S. M. (May 1, 1999). "Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model ." ASME. J. Mech. Des. September 2000; 122(3): 304–310. https://doi.org/10.1115/1.1286189
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