Analysis and Design of Basic Linkages for Harmonic Motion Generation

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.

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Linkages; Design; Harmonic Motion; Equations of Motion; Motion; Approximation; Equations; Errors

International Standard Serial Number (ISSN)

1050-0472

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1985 American Society of Mechanical Engineers (ASME), All rights reserved.

Publication Date

01 Jan 1985

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