0
Research Papers

Modal Properties of Planetary Gears With an Elastic Continuum Ring Gear

[+] Author and Article Information
Xionghua Wu

Department of Mechanical Engineering,  The Ohio State University, 201 W. 19th Avenue, Columbus, OH 43210

Robert G. Parker1

Department of Mechanical Engineering,  The Ohio State University, 201 W. 19th Avenue, Columbus, OH 43210parker.242@osu.edu

1

Corresponding author.

J. Appl. Mech 75(3), 031014 (May 01, 2008) (12 pages) doi:10.1115/1.2839892 History: Received May 27, 2006; Revised November 08, 2007; Published May 01, 2008

The distinctive modal properties of equally spaced planetary gears with elastic ring gears are studied through perturbation and a candidate mode method. All eigenfunctions fall into one of four mode types whose structured properties are derived analytically. Two perturbations are used to obtain closed-form expressions of all the eigenfunctions. In the discrete planetary perturbation, the unperturbed system is a discrete planetary gear with a rigid ring. The stiffness of the ring is perturbed from infinite to a finite number. In the elastic ring perturbation, the unperturbed system is an elastic ring supported by the ring-planet mesh springs; the sun, planet and carrier motions are treated as small perturbations. A subsequent candidate mode method analysis proves the perturbation results and removes any reliance on perturbation parameters being small. All vibration modes are classified into rotational, translational, planet, and purely ring modes. The well defined properties of each type of mode are analytically determined. All modal properties are verified numerically.

FIGURES IN THIS ARTICLE
<>
Copyright © 2008 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Elastic-discrete model of a planetary gear and corresponding system coordinates. The distributed springs around the ring circumference are not shown.

Grahic Jump Location
Figure 2

Typical modes of a planetary gear. The system parameters are given in Table 1. Distinct planet modes as in (d) only exist for an even number of planets.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In