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Kinematic Synthesis and Analysis of the Rack and Pinion Multi-Purpose Mechanism

Ananthasuresh, GK and Kramer, SN (1992) Kinematic Synthesis and Analysis of the Rack and Pinion Multi-Purpose Mechanism. In: ASME, 114 (3). pp. 428-432.

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Official URL: http://dx.doi.org/10.1115/1.2926569


The general procedure for synthesizing the rack and pinion mechanism up to seven precision conditions is developed. To illustrate the method, the mechanism has been synthesized in closed form for three precision conditions of path generation, two positions of function generation, and a velocity condition at one of the precision points. This mechanism has a number of advantages over conventional four bar mechanisms. First, since the rack is always tangent to the pinion, the transmission angle is always 90 deg minus the pressure angle of the rack. Second, with both translation and rotation of the rack occurring, multiple outputs are available. Other advantages include the generation of monotonic functions for a wide variety of motion and nonmonotonic functions for a full range of motion as well as nonlinear amplified motions. In this work the mechanism is made to satisfy a number of practical design requirements such as completely rotatable input crank and others. By including the velocity specification, the designer has considerably more control of the output motion. The method of solution developed in this work uses the complex number method of mechanism synthesis. A numerical example is included.

Item Type: Journal Article
Publication: ASME
Additional Information: copyright for this article belongs to ASME-AMER SOC MECHANICAL ENG,New York.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 02 Jul 2014 12:43
Last Modified: 02 Jul 2014 12:43
URI: http://eprints.iisc.ac.in/id/eprint/49393

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