Application of Instantaneous Invariants to the Analysis and Synthesis of Mechanisms

[+] Author and Article Information
B. Roth

Department of Mechanical Engineering, Stanford University, Stanford, Calif.

A. T. Yang

Department of Mechanical Engineering, University of California, Davis, Calif.

J. Eng. Ind 99(1), 97-103 (Feb 01, 1977) (7 pages) doi:10.1115/1.3439172 History: Received June 01, 1976; Online July 15, 2010


The objective of this paper is to make instantaneous invariants a more accessible tool for problem solving in the field of kinematics. We present a systematic procedure to determine the instantaneous invariants of a rigid body under geometric constraint, develop a process by which kinematic properties of rigid body motion can be expressed in terms of instantaneous invariants, and apply instantaneous invariants to solve typical kinematic synthesis problems. Four examples are given in detail for illustrative purposes.

Copyright ┬ę 1977 by ASME
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