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UNIVERSITY OF MICHIGAN Technical Report 26 Computer Graphics in the Dynamic Analysis of Mechanical Networks

IP.com Disclosure Number: IPCOM000128422D
Original Publication Date: 1970-Feb-01
Included in the Prior Art Database: 2005-Sep-15

Publishing Venue

Software Patent Institute

Related People

Chace, Milton A.: AUTHOR [+4]

Abstract

Computer graphics is particularly appropriate for studying the time response of two-dimensional mechanical dynamic systems. This paper discusses the interactive use of a DEC 338 graphics terminal for input and display related to a generalized FORTRAN IV applications program named DAMN--Dynamic Analysis of Mechanical Networks. The DEC 338 is remotely timeshared to the University of Michigan IBM System 360/67 central computer, operating under MTS (Michigan Terminal System).

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THIS DOCUMENT IS AN APPROXIMATE REPRESENTATION OF THE ORIGINAL.

UNIVERSITY OF MICHIGAN Technical Report 26 Computer Graphics in the Dynamic Analysis of Mechanical Networks

Milton A. Chace Michael E. Korybalski

CONCOMP: Research in Conversational Use of Computers
F. H. Westervelt, Project Director ORA Project 07449

supported by: ADVANCED RESEARCH PROJECTS AGENCY DEPARTMENT OF DEFENSE WASHINGTON, D.C.

CONTRACT NO. DA-49-083 OSA-3050 ARPA ORDER NO. 716

administered through: OFFICE OF RESEARCH ADMINISTRATION ANN ARBOR February 1970

TABLE OF CONTENTS

ABSTRACT.....ix

1. Introduction.....1

2. Background of Program.....8

2.1 Constituitive Elements.....8
2.2 Definition of Constraint.....10
2.3 Dynamic Conditions - Lagrange's Equation.....12
2.4 Relation of Topological and Dimensional Problems.....23

3. Graphics Systems and Applications.....25
3.1 Systems Viewpoint.....25
3.2 The Graphic Terminal.....28
3.3 Description of DF Routines.....29
3.4 DAMN User Graphics Options.....29
3.5 Organization of Graphics Output Program.....31
3.6 Description and Examples of Output.....37
3.7 Man-Machine Interaction.....45
ACKNOWLEDGMENTS.....49

REFERENCES.....50

University of Michigan Page 1 Feb 01, 1970

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UNIVERSITY OF MICHIGAN Technical Report 26 Computer Graphics in the Dynamic Analysis of Mechanical Networks

LIST OF TABLES

Table 1. Form of the Generalized Force Terms in the Lagrange Equation.....l9

Table 2. Functions of the Supervisory Programs of the University of Michigan IBM 360/67.....27

Table 3. Definitions of DF Routines Used in the DAMN Graphics Output Program.....30

Table 4. Graphic Options and Description of Output Available to DAMN User.....32

Table 5. Description of Data Necessary for Generation of DAMN Graphic Display.....33

LIST OF FIGURES

Figure 1. Flow Diagram of Operation of the DAMN Program in Graphic Output Mode.....6

Figure 2.1. Schematic of a Hypothetical Machine in Terms of Constituitive Elements.....11

Figure 2.2. Schematic of a Kinematic Slider Crank Mechanism.....13

Figure 2.3. A Chain of Keyed Assemblies from Ground to the Center of Mass of a Particular Part.....17

Figure 3.1. Relation of U of M System Software in the Execution of Batch and Timeshared Jobs on the 360/67 Central Computer.....26

Figure 3.2. Flow Chart of the Graphics Output Program.....34

Figure 3.3. Example Graphics Output.....35

Figure 3.4a. Three-dimensional View of a Two-link Compound Pendulum Moving in a Gravitational Field.....38

Figure 3.4b. Two-dimensional Schematic of the Compound Pendulum Shown in Figure
3.4a.....39

Figure 3.5. A Series of Photographs of the DEC 338 Graphic Display Screen Taken During a Program Run Simulating the Motion of the Compound Pendulum Shown in Figures 3.4a and
3.4b.....40

Figure 3.6a. Automobile Hood Mechanism Used in Connecting the Hood to the Body.....42

Figure 3.6b. Two-dimensional Schematic Representation of the Hood Mechanism of Figure
3.6a.........43

University of Michigan Page 2 Feb 01, 1970

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