Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model

Journal of Mechanical Design, Transactions Of the ASME - Tập 122 Số 3 - Trang 304-310 - 2000
Robert G. Parker1, Vinayak Agashe2, Sandeep Vijayakar3
1Associate Professor
2Department of Mechanical Engineering, The Ohio State University, 206 W. 18th Ave., Columbus, OH 43201-1107
3Advanced Numerical Solutions, 3554 Mark Twain Ct., Hilliard, OH 43026

Tóm tắt

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]

Từ khóa


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