Optimum Synthesis of Two-Degree-of-Freedom Planar and Spatial Function Generating Mechanisms Using the Penalty Function Approach

[+] Author and Article Information
R. I. Alizade

Polytechnical Institute of Baku, USSR

A. V. Mohan Rao

Materials and Processes Laboratory, General Electric Company, Schenectady, N. Y.

G. N. Sandor

Division of Machines and Structures, Rensselaer Polytechnic Institute, Troy, N. Y.

J. Eng. Ind 97(2), 629-634 (May 01, 1975) (6 pages) doi:10.1115/1.3438627 History: Received June 25, 1974; Online July 15, 2010


This paper presents the synthesis of two-degree-of-freedom function generating mechanisms as a mathematical programming problem. The optimum set of dimensions of a mechanism are determined using a penalty function approach. Also, a new algorithm is developed for finding the first mechanism satisfying all inequality constraints to serve as an initial approximation. A single objective function as well as the equality and inequality constraints are expressed explicitly from conditions of linkage closure, mobility, and transmissibility. The method is demonstrated through an example for a spatial RSSRP function generating mechanism.

Copyright © 1975 by ASME
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