Analysis of the Time-Dependence of Multi-Freedom Mechanical Systems in Relative Coordinates

[+] Author and Article Information
M. A. Chace

Development Laboratory, IBM Systems Development Division, Rochester, Minn.

J. Eng. Ind 89(1), 119-125 (Feb 01, 1967) (7 pages) doi:10.1115/1.3609982 History: Received July 01, 1966; Online August 25, 2011


A theoretical model and a computational procedure are proposed for the analysis of the time-dependence of highly constrained, multi-degree-of-freedom mechanical systems. Problems are formulated as a simultaneous set of Lagrange differential equations in the system relative coordinates, accompanied by second-order constraints. The equations are linear in the second-order terms and are solved by a numerical integration procedure.

Copyright © 1967 by ASME
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