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A NETWORK-VARIATIONAL BASIS FOR GENERALIZED COMPUTER REPRESENTATION OF MULTIFREEDOM, CONSTRAINED, MECHANICAL SYSTEMS

IP.com Disclosure Number: IPCOM000128410D
Original Publication Date: 1969-May-01
Included in the Prior Art Database: 2005-Sep-15

Publishing Venue

Software Patent Institute

Related People

Chace, Milton A.: AUTHOR [+3]

Abstract

A vital component of computer-aided engineering design is the base program which computes the behavior of an arbitrary design, given a minimal input of both the structural identity and the design parameters. This paper considers the computer-aided design of multifreedom, constrained mechanical systems (realistic machinery). Characteristics of such systems and their computational representation and graphic display output are discussed in terms of an example machine system. An outline of mathematical methods useful for generalized representation is made. Finally an organizational scheme for implementation of a generalized program is briefly discussed. A preliminary program based on these methods is presently under test.

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THIS DOCUMENT IS AN APPROXIMATE REPRESENTATION OF THE ORIGINAL.

A NETWORK-VARIATIONAL BASIS FOR GENERALIZED COMPUTER REPRESENTATION OF MULTIFREEDOM, CONSTRAINED, MECHANICAL SYSTEMS [ front matter and title page ]

THE UNIVERSITY OF MICHIGAN, Technical Report 18

Milton A. Chace

CONCOMP: Research in Conversational Use of Computers, ORA Project 07449, F.H. Westervelt. Director supported by: DEPARTMENT OF DEFENSE, ADVANCED RESEARCH PROJECTS AGENCY, WASHINGTON, D.C.

CONTRACT NO. DA-49-083 OSA-3050, ARPA ORDER NO. 716 administered through: OFFICE OF RESEARCH ADMINISTRATION, ANN ARBOR, May 1969

ABSTRACT

A vital component of computer-aided engineering design is the base program which computes the behavior of an arbitrary design, given a minimal input of both the structural identity and the design parameters. This paper considers the computer-aided design of multifreedom, constrained mechanical systems (realistic machinery). Characteristics of such systems and their computational representation and graphic display output are discussed in terms of an example machine system. An outline of mathematical methods useful for generalized representation is made. Finally an organizational scheme for implementation of a generalized program is briefly discussed. A preliminary program based on these methods is presently under test.

ACKNOWLEDGMENTS

The author gratefully acknowledges the financial support of the Advanced Research Projects Agency, Department of Defense; and the Advanced Analytical Technology Department, Ford Motor Company. The graphic display implementation and much of the additional programming was performed by Mr. Michael Korybalski, a senior in the Department of Mechanical Engineering, University of Michigan.

TABLE OF CONTENTS

ABSTRACT.....iii
1. INTRODUCTION.....1
2. COMPUTER REPRESENTATION OF AN EXAMPLE

DYNAMIC MECHANICAL SYSTEM.....5
3.REPRESENTATION OF CONSTRAINT BY A PART

CONTACT NETWORK.....17

University of Michigan Page 1 May 01, 1969

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A NETWORK-VARIATIONAL BASIS FOR GENERALIZED COMPUTER REPRESENTATION OF MULTIFREEDOM,

CONSTRAINED, MECHANICAL SYSTEMS

4. REPRESENTATION OF FORCE INTERACTION BY LAGRANGE'S EQUATION.....27
5. REMARKS ON PROGRAM ORGANIZATION.....35
REFERENCES.....37

LIST OF FIGURES

Figure 1.

     An Example Multifreedom, Constrained Mechanical System. This device is actually used as a torsional vibration experiment, but serves to illustrate characteristics of realistic machinery systems generally.....6
Figure 2.

     Sketch of the System of Figure 1, Showing Notation Used for Design Parameters and Dependent Coordinates.....7
Figure 3.

     Display of a Schematic Representation of the System of Figure 1, on an IBM 2250 Graphic Display Unit.....11
Figure 4.

     A series of Photographs of the IBM 2250 Graphic Display Screen, During Simulated Start up of the System of Figure 1. Line segments fixed in the pulleys and flywheels show the angular displacements of the respective parts. The input pulley has been repositioned (lower left...