Abstract
The Burmester problem aims at finding the geometric parameters of a planar four-bar linkage for a prescribed set of finitely separated poses. The synthesis related to the Burmester problem deals with both revolute-revolute (RR) and prismatic-revolute (PR) dyads. A PR dyad is a special case of RR dyad, i.e., a dyad with one end-point at infinity. The special nature of PR dyads warrants a special treatment, outside of the general methods of four-bar linkage synthesis, which target mainly RR dyads. In this paper, we study the synthesis of planar four-bar linkages addressing the problem of the determination of PR dyads. The conditions for the presence of PR dyads with the prescribed poses are derived. A synthesis method is developed by resorting to the parallelism condition of the displacement vectors of the circle points of PR dyads. We show that the "circle" point of a PR dyad can be determined as one common intersection of three or four circles, depending on whether four or, correspondingly, five poses are prescribed.
Original language | English |
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Title of host publication | Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences - DETC2005 : 29th Mechanisms and Robotics Conference |
Number of pages | 8 |
Volume | 7 A |
Publication date | 1 Dec 2005 |
Pages | 307-314 |
ISBN (Print) | 0791847446 |
Publication status | Published - 1 Dec 2005 |
Event | DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beach, CA, United States Duration: 24 Sept 2005 → 28 Sept 2005 |
Conference
Conference | DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
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Country/Territory | United States |
City | Long Beach, CA |
Period | 24/09/2005 → 28/09/2005 |
Sponsor | ASME Design Engineering Division, ASME Computers and Information in Engineering Division |
Keywords
- Burmester problem
- Four-bar linkage
- Parallelism condition
- Prismatic-revolute dyads