This paper presents the general form of the explicit equations of motion for mechanical systems. The systems may have holonomic and/or nonholonomic constraints, and the constraint forces may or may not satisfy D’Alembert’s principle at each instant of time. The explicit equations lead to new fundamental principles of analytical mechanics.
What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems?
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received and accepted by the ASME Applied Mechanics Division, Associate Editor: L. T. Wheeler. Discussion on the paper should be addressed to the Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Udwadia, F. E., and Kalaba, R. E. (May 3, 2002). "What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems? ." ASME. J. Appl. Mech. May 2002; 69(3): 335–339. https://doi.org/10.1115/1.1459071
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