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RESEARCH PAPERS: Mechanisms Papers

Contributions to the Determination of the Equations of Motion for Multidegree of Freedom Systems

[+] Author and Article Information
Desideriu Maros

Politechnic Institute of Cluj, Romania

Nicolae Orlandea

University of Michigan, Ann Arbor, Mich.

J. Eng. Ind 93(1), 191-195 (Feb 01, 1971) (5 pages) doi:10.1115/1.3427874 History: Received July 27, 1970; Online July 15, 2010

Abstract

This paper is a further development of the kinematic problem presented in our 1967 paper [1] in which we have obtained the transmission functions for different orders of plane systems with many degrees of freedom. This paper establishes the corresponding system of differential equations of motion beginning with these functions. The purpose of this paper is to facilitate computer programming. Our study is based on the work of R. Beyer [2, 3] and is the first original addition to his papers. A second original contribution to Beyer’s theories is the deductive method of solution, from general to particular, which we have, incorporated in our work. Beyer concluded that the cases having two or three degrees of freedom can be considered as particular solutions to the results obtained.

Copyright © 1971 by ASME
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