Higher-Order Analysis of Basic Linkages for Harmonic Motion Generation

Abstract

In an earlier work, a perturbation technique was first presented to obtain approximate simple harmonic equations for describing the output motions of rudimentary linkages, i.e., a crank-rocker and a slider-crank, with relativley small input cranks. The technique involved consideration of a small motion excursion about a so-called "mean linkage configuration." These equations were facilitated through truncation of the binomial series expansion of the output motions, expressed in terms of the input crank angle. Assuming a small crank to ground link length ratio, terms containing second or higher powers of this ratio were neglected. This paper retains terms containing higher powers in an effort to improve upon (i) the definition of the mean linkage configuration, and (ii) the harmonic motion content representation of the output motions. The improvements made due to the "modified" equations, relative to the "original" ones, are pictorially presented as being significant.

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Harmonic Motion; Linkages; Motion; Equations

International Standard Serial Number (ISSN)

1050-0472

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1987 American Society of Mechanical Engineers (ASME), All rights reserved.

Publication Date

01 Jan 1987

Link to Full Text

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