Kinematic Analysis of Mechanisms by the Complex Conjugate Exponential Method

[+] Author and Article Information
J. A. Smith

Versailles, Ky.

J. Eng. Ind 97(3), 795-799 (Aug 01, 1975) (5 pages) doi:10.1115/1.3438682 History: Received June 18, 1974; Online July 15, 2010


Generalized closed-form expressions are presented for the analysis of angular and path position and dynamic state properties of an n link mechanism with single or multiple prescribed input specifications. The complex conjugate concept is extensively used to formulate these explicit expressions. A numerical example of a six-bar mechanism is presented, and the closed-form expressions are used to calculate—without graphical, numerical, or iterative techniques—the angular position, angular velocity, and angular acceleration of each link.

Copyright © 1975 by ASME
Topics: Mechanisms
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