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RESEARCH PAPERS: Mechanisms Papers

Analysis and Design of Basic Linkages for Harmonic Motion Generation

[+] Author and Article Information
A. Midha, R. J. Cipra, K. Farhang

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

J. Mech., Trans., and Automation 107(4), 499-506 (Dec 01, 1985) (8 pages) doi:10.1115/1.3260752 History: Received July 10, 1984; Online November 19, 2009

Abstract

This paper deals with basic planar linkages driven by relatively small cranks, and as a consequence generating approximate simple harmonic motion at the output members. A unique approach is presented to yield the kinematic equations, as exemplified by planar crank-rocker and offset slider-crank linkages. The method involves the presumption of a mean linkage configuration and a small motion excursion therefrom. Its validity is demonstrated by means of several error plots, generated for varying, nondimensional linkage parameters and a constant mean transmission angle. These plots also serve to illustrate the order of approximation involved for a particular combination of parameters. Finally, the synthesis of a crank-rocker linkage for a representative set of requirements is exemplified using the equations developed herein.

Copyright © 1985 by ASME
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