Affiliation:
1. Department of Mechanical Engineering, The Ohio State University, Columbus, Ohio 43210
Abstract
This work develops an analytical model of planetary gears and uses it to investigate their natural frequencies and vibration modes. The model admits three planar degrees of freedom for each of the sun, ring, carrier and planets. It includes key factors affecting planetary gear vibration such as gyroscopic effects and time-varying stiffness. For the linear, time-invariant case, examination of the associated eigenvalue problem reveals the well-defined structure of the vibration modes, where the special structure results from the cyclic symmetry of planetary gears. Vibration modes are classified into rotational, translational and planet modes. The unique characteristics of each type of mode are analytically investigated in detail. For each class of mode, reduced-order eigenvalue problems are derived.
Reference14 articles.
1. Parker, R. G., Agashe, V., and Vijayakar, S. M., March 1999, “Computational Analysis of Planetary Gear Dynamics,” Proc. of the 4th World Congress on Gearing and Power Transmission, Paris, pp. 2103–2114.
2. Botman, M., 1976, “Epicyclic Gear Vibrations,” ASME Journal of Engineering for Industry, pp. 811–815.
3. Cunliffe, P., Smith, J. D., and Welbourn, D. B., 1974, “Dynamic Tooth Loads in Epicyclic Gears,” ASME Journal of Engineering for Industry, pp. 578–584.
4. Frater, J. L., August, R., and Oswald, F. B., 1983, “Vibration in Planetary Gear Systems With Unequal Planet Stiffnesses,” NASA Technical Memorandum 83428.
5. Kahraman
A.
, 1994a, “Load Sharing Characteristics of Planetary Transmissions,” Mechanism and Machine Theory, Vol. 29, pp. 1151–1165.
Cited by
330 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献