Past work in mechanisms synthesis has been primarily position-dependent. Here, the problem of coordinating time and geometric states up to the fourth order simultaneously for several functions is accomplished with all classes of multiply separated specifications. The previous algebraic formulation for geometric Burmester theory based on a set of Amt coefficients is now transformed into a time-dependent Burmester theory by using an expanded set of tabulated coefficients Dmt. New problems of complex geometric coordination of three functions relative to some position parameter are now solvable, and it is shown that geometric synthesis is a special case of time synthesis. This generalized theory vastly increases the range of solvable problems for industrial application in terms of the 4-, 5-, and 6-bar mechanisms.
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May 1975
This article was originally published in
Journal of Engineering for Industry
Research Papers
The Analytical Synthesis of Complex Mechanisms for Combinations of Specified Geometric or Time Derivatives up to the Fourth Order
A. Myklebust,
A. Myklebust
Institutt for Maskindeler, Universitetet i Trondheim, Norges Tekniske Ho̸gskole, Trondheim, Norway
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D. Tesar
D. Tesar
Department of Mechanical Engineering, University of Florida, Gainesville, Fla.
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A. Myklebust
Institutt for Maskindeler, Universitetet i Trondheim, Norges Tekniske Ho̸gskole, Trondheim, Norway
D. Tesar
Department of Mechanical Engineering, University of Florida, Gainesville, Fla.
J. Eng. Ind. May 1975, 97(2): 714-722
Published Online: May 1, 1975
Article history
Received:
July 3, 1974
Online:
July 15, 2010
Citation
Myklebust, A., and Tesar, D. (May 1, 1975). "The Analytical Synthesis of Complex Mechanisms for Combinations of Specified Geometric or Time Derivatives up to the Fourth Order." ASME. J. Eng. Ind. May 1975; 97(2): 714–722. https://doi.org/10.1115/1.3438637
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