Analysis and Design of Basic Linkages for Harmonic Motion Generation
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.
A. Midha et al., "Analysis and Design of Basic Linkages for Harmonic Motion Generation," Journal of Mechanical Design, American Society of Mechanical Engineers (ASME), Jan 1985.
The definitive version is available at http://dx.doi.org/10.1115/1.3260752
Mechanical and Aerospace Engineering
Keywords and Phrases
Linkages; Design; Harmonic Motion; Equations of Motion; Motion; Approximation; Equations; Errors
Article - Journal
© 1985 American Society of Mechanical Engineers (ASME), All rights reserved.