One of the major advantages of linkages over cams is the ease with which they can be adjusted to modify their output. Incorporating an adjustment into the design of a linkage makes it possible to make a selection from two, three, or more different outputs by simply making the adjustment. Adjustable mechanisms make it possible to use the same hardware for different input-output relationships. The adjustment considered in this paper is the changing of a fixed pivot location. This paper presents a method of synthesizing adjustable planar linkages for function generation with finitely separated precision points and higher order synthesis involving prescribed velocities, accelerations, and higher accelerations. The method of synthesis is analytical with closed form solutions and utilizes complex numbers. The method is programmed for automatic digital computation. The linkages considered are a four-bar, a geared five-bar, and a geared six-bar mechanism. Examples include adjustable mechanisms which have been successfully synthesized with the method developed here. Future extensions of the complex number method to include adjustment by changing the length of a link and by changing of the relative orientation of the gears in geared linkages are outlined.
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May 1973
This article was originally published in
Journal of Engineering for Industry
Research Papers
Kinematic Synthesis of Adjustable Mechanisms—Part 1: Function Generation
Joseph F. McGovern,
Joseph F. McGovern
Division of Machines and Structures, Rensselaer Polytechnic Institute, Troy, N. Y.
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George N. Sandor
George N. Sandor
Division of Machines and Structures, Rensselaer Polytechnic Institute, Troy, N. Y.
Search for other works by this author on:
Joseph F. McGovern
Division of Machines and Structures, Rensselaer Polytechnic Institute, Troy, N. Y.
George N. Sandor
Division of Machines and Structures, Rensselaer Polytechnic Institute, Troy, N. Y.
J. Eng. Ind. May 1973, 95(2): 417-422
Published Online: May 1, 1973
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Received:
July 6, 1972
Online:
July 15, 2010
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McGovern, J. F., and Sandor, G. N. (May 1, 1973). "Kinematic Synthesis of Adjustable Mechanisms—Part 1: Function Generation." ASME. J. Eng. Ind. May 1973; 95(2): 417–422. https://doi.org/10.1115/1.3438171
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