1994
DOI: 10.1115/1.2919429
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Six and Seven Position Triad Synthesis Using Continuation Methods

Abstract: A continuation method is used for the synthesis of triads for motion generation with prescribed timing applications. The procedure is applied to solve both six and seven position synthesis problems. Triad Burmester curves are generated for the six position synthesis problem and an eight-bar mechanism is designed to illustrate the procedure. For the seven position synthesis problem, a finite number of solutions are obtained. A geared five-bar, seven position path generation example is considered.

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Cited by 21 publications
(17 citation statements)
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“…One approach to achieve more precision points is to use a mechanism with more links providing additional design parameters. Subbian and Flugrad [12] used a continuation method to synthesize eight-bars to produce six precision points. McLarnan [13] used an iterative solution technique to design Watt and Stephenson linkages to achieve eight precision points.…”
Section: Introductionmentioning
confidence: 99%
“…One approach to achieve more precision points is to use a mechanism with more links providing additional design parameters. Subbian and Flugrad [12] used a continuation method to synthesize eight-bars to produce six precision points. McLarnan [13] used an iterative solution technique to design Watt and Stephenson linkages to achieve eight precision points.…”
Section: Introductionmentioning
confidence: 99%
“…The synthesis of an eight-bar linkage to reach a specified set of task positions was first presented by Subbian and Flugrad (1994) [5]. They formulated design equations for a connected set of RR and RRR chains such that the resulting system could reach as many as seven task positions.…”
Section: Introductionmentioning
confidence: 99%
“…3. The synthesis of planar 3R chains, also known as triads, for motion generation has been first studied by Chase et al [25] and Subbian and Flugrad [26]. They used triad synthesis to design planar 3R chains with up to seven task positions.…”
Section: The Geometric Design Processmentioning
confidence: 99%