Abstract
Graph theory has been demonstrated by many researchers to be useful during the conceptual phase of mechanism design. For mechanisms known as planetary gear trains, the graph representation has been used primarily for 'topological synthesis,' the enumeration of kinematic chains satisfying the requirements for planetary gear trains. The subsequent 'topological analysis' steps resulting in the specification of the ground, input, and output links, have received little attention in the literature. This paper addresses the inadequacies of the conventional representation for topological analysis, and utilizes a new graph representation to enable these steps to be performed in a straight-forward manner. It is shown that among the thirteen distinct displacement graphs representing planetary geared kinematic chains with five links and one degree-of-freedom, only four distinct planetary gear trains result after assigning the ground, input, and output links subject to meaningful topological requirements.
| Original language | English (US) |
|---|---|
| Title of host publication | American Society of Mechanical Engineers, Design Engineering Division (Publication) DE |
| Publisher | Publ by American Soc of Mechanical Engineers (ASME) |
| Pages | 125-131 |
| Number of pages | 7 |
| Volume | 15-1 |
| Edition | PT1 |
| State | Published - Dec 1 1988 |
| Event | Trends and Developments in Mechanisms, Machines, and Robotics - 1988 - Kissimmee, FL, USA Duration: Sep 25 1988 → Sep 28 1988 |
Other
| Other | Trends and Developments in Mechanisms, Machines, and Robotics - 1988 |
|---|---|
| City | Kissimmee, FL, USA |
| Period | 9/25/88 → 9/28/88 |