archive.orgTECHNICAL LIBRARY AD MEMORANDUM REPORT ARBRL-MR-02976 A COMBINATORIAL GEOMETRY COMPUTER DESCRIPTION OF THE M577A1 LIGHT TRACKED COMMAND POST CARRIER Carl Crisco Kenneth

TECHNICAL LIBRARY AD

MEMORANDUM REPORT ARBRL-MR-02976

A COMBINATORIAL GEOMETRY COMPUTER

DESCRIPTION OF THE M577A1 LIGHT

TRACKED COMMAND POST CARRIER

Carl Crisco Kenneth Hess

John C. Saccenti James E. Schall, Jr.

Joseph C. Maloney

December 1979

US ARMY ARMAMENT RESEARCH AND DEVELOPMENT COMMAND BALLISTIC RESEARCH LABORATORY ABERDEEN PROVING GROUND, MARYLAND

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The findings in this report are not to be construed as an official Department of the Army position, unless so designated by other authorized documents.

i.

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t. REPORT NUMBER

MEMORANDUM REPORT ARBRL-MR-02976

2. GOVT ACCESSION NO 3. RECIPIENT'S CATALOG NUMBER

4. TITLE fund Sublltle)

A COMBINATORIAL GEOMETRY COMPUTER DESCRIPTION OF THE M577A1 LIGHT TRACKED COMMAND POST CARRIER

5. TYPE OF REPORT a PERIOD COVERED

Final S. PERFORMING ORG. REPORT NUMBER

7. AUTHORCsJ

Carl Crisco Kenneth Hess John C. Saccenti

8. CONTRACT OR GRANT NUMBERfs.)

James E. Schall, Jr. Joseph C. Maloney

9. PERFORMING ORGANIZATION NAME AND ADDRESS

U.S. Army Ballistic Research Laboratory (ATTN: DRDAR-BLV) Aberdeen Proving Ground, MD 21005

10. PROGRAM ELEMENT, PROJECT, TASK AREA » WORK UNIT NUMBERS

6A665708A987

II. CONTROLLING OFFICE NAME AND ADDRESS

U.S. Army Armament Research ^ Development Command U.S. Army Ballistic Research Laboratory (ATTN: DRDAR-BLV) Aberdeen Proving Ground, MD 21005

12. REPORT DATE

DECEMBER 1979 13. NUMBER OF PAGES

107 1«. MONITORING AGENCY NAME ft ADDRESS(lf dlHermt Irom Controlling OUIce) 15. SECURITY CLASS, (of thlm report)

UNCLASSIFIED

15«. DECLASSIFI CATION/DOWN GRADING SCHEDULE

16. DISTRIBUTION STATEMENT (o{ thle Report)

Approved for public release; distribution unlimited.

17. DISTRIBUTION STATEMENT (ot the abstract entered In Block 30, II dltterent from Report)

18. SUPPLEMENTARY NOTES

19. KEY WORDS (Continue on reverse aide II neceaaary and Identity by block number)

COM-GEOM GIFT Computer Description Combinatorial Geometry

M577A1 Command Post Carrier Vulnerability

20. ABSTRACT CC<miaiu« aa nnram abtm tt ne-cmieMry ami Idenllly by block number)

This report documents tlve combinatorial geometry description of the M577A1 Light Tracked Command Post Carrier. The description has been thoroughly validated and is part of the BRL target description library.

DD/, "ST^ U73 EDITION OF » MOV 65 IS OBSOLETE UNCLASSIFIED

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TABLE OF CONTENTS

Page

I. INTRODUCTION 9

II. COMBINATORIAL GEOMETRY METHODOLOGY 9

III. COMBINATORIAL GEOMETRY DESCRIPTION OF THE M577A1 COMMAND POST CARRIER 14

IV. VALIDATION PROCEDURE 14

APPENDIX - M577A1 Conunand Post Carrier Description Listing 21

DISTRIBUTION LIST 103

LIST OF FIGURES

Figure Page

1. The M577A1 Command Post Carrier 10

2. Intersection (+), Subtraction (-), Union (OR) of Solids . . 12

3. Coordinate System Superimposed Upon An Oblique View of the M577A1 Command Post Carrier 15

4. Computer View of the Right Side of the M577A1 Command Post Carrier 17

5. Computer Top View of the M577A1 Command Post Carrier. ... 18

6. Computer Bottom View of the M577A1 Command Post Carrier 19

7. Computer Front and Rear Views of the M577A1 Command Post Carrier 20

LIST OF TABLES

Table Page

I. Geometric Solids Used in COM-GEOM Descriptions n

II. Sequential Identification Code Used In the Command Post Carrier Description 13

III. Material Codes and Densities for the Command Post Carrier 13

INTRODUCTION

The Theater Nuclear Forces Survivability (TNF/S) working subgroup of the Vulnerability Lethality Division (VLD) of the Ballistic Research Laboratory (BRL) was tasked to assess the vulnerability of the Command Post Carrier (M577A1), and to further identify preliminary methods of reducing the carrier's vulnerability to fragmenting munitions. This report documents the first phase of the analysis dealing with a computer- ized description of the M577A1. A photograph of the vehicle is shown in Figure 1.

Presently, the BRL employs a technique known as COM-GEOM to describe targets. The COM-GEOM technique uses logic-type operators to combine basic geometric solids to produce a three-dimensional model of the target suitable for subsequent analysis. This COM-GEOM description is then used as input to the Geometric Information For Targets (GIFT)-'- computer code. The GIFT code traces shotlines through a COM-GEOM description from many specified attack aspects, listing pertinent information about each component hit. These shotline data are then used as simulated penetrator paths through the target. The vulnerability analysis is then conducted utilizing this shotline data in conjunction with the VAST^ analysis code.

II. COMBINATORIAL GEOMETRY METHODOLOGY

Engineering drawings, manuals, photographs or other descriptive materials are required to produce a COM-GEOM description. The COM-GEOM technique utilized basic geometric solids combined under three set- theory type operations to define the shape and location of each component of a target. A complete COM-GEOM description contains three distinct parts: a solid table, a region table and a region identification table.

A solid may be defined by any one of twelve geometric shapes (see Table I). The parameters of a solid give its location, size, and orien- tation within the coordinate system established for the target. Each solid is uniquely numbered and its parameters listed in the solid table.

2 Lawrence W. Bain, Matheu) J. Reisinger, "The GIFT Code User Manual, Vol 1, Introduation and Input Requirements," Ballistic Research Laboratory Report No. 1802, Jul 75 (AD# B0060372).

2 Hafer, T.F., and Hafer, A.S., "Vulnerability Analysis For Surface Targets (VAST) An Internal Point Burst Vulnerability Model," Ballistic Research Laboratory Report No. ARBRL-TR-02154, April 1979. (AD #B038960L)

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Table I. Geometric Solids Used in COM-GEOM Descriptions,

SYMBOLS SOLID NAME

RPP Rectangular Parallelepiped

BOX Box

RAW Right Angle Wedge

ARB Arbitrary Convex Polyhedron

ARS Triangular Surfaced Polyhedron

ELL Ellipsoid of Revolution

SPH Sphere

RCC Right Circular Cylinder

REC Right Elliptical Cylinder

TRC Truncated Right Angle Cone

TEC Truncated Elliptical Cone

TOR Torus

A region is the space occupied by a single solid or combination of solids. Solids are combined using the three operations; intersection (+), union (OR), and difference (-). The intersection (+) of two solids is defined as the space in common with both solids. The union (OR) of two solids is defined as the space in either of the solids. The difference (-) of two solids is defined as the space in the first solid minus the space of the second solid. Figure 2 is a two-dimensional graphic illustration of these three operations. Any number of solids from the solid table may be used to define a region. Each region is uniquely numbered and its defining combination of solids is listed in the region table.

In the region identification table, each region is assigned an identification code number. These code numbers either identify each specific region as a component of the target or as an air space. Table II lists the groups of code numbers used in this description and the class of components which they represent. The region identification table also allows 40 alphanumeric characters of descriptive data per item listed. The analyst needs to know the type and percentage of material making up each region. The percentage value is used to produce

11

RPP(l)

SPH(2)

INTERSECTION

1 + 2

SUBTRACTION

1 - 2

SUBTRACTION

2 - 1

UNION

1 OR 2

Figure 2. Intersection (+), Subtraction (-), Union (OR) of Solids

12

an equivalent line-of-sight [LOS) thickness of the material type. This information is included within the 40 characters of descriptive data in the region identification table. In the Command Post Carrier description, the last three characters represent the percentage of material, while the two preceding characters are a code indicating the material type. Table III lists the two-digit material codes used in this description and their assigned densities.

Table II. Sequential Identification Code Used in the Command Post Carrier Description

Item Code Usage

0 Air and Dummy Regions

10-36 Personnel

70-99 Driver's Seat

101 Armor

201 Fuel Tanks

202 Fuel

203-209 Fuel Lines 223

1004-1207 Generator Components

Table III. Material Codes and Densities for the Command Post Carrier

Code Density (gm /ciO Material

01 7.7641 Mild Steel

02 7.7641 RHA

03 7.7641 Face-Hardened Steel

04 7.2038 Cast Iron

05 2.7695 Aluminum (2024T-3)

13

Table III. Material Codes and Densities for the Conanand Post Carrier (Cont'd)

Code Density (gm/cm ) Material

07 8.9007 Copper

14 1.2166 Plexiglass as Cast

18 0.9356 Rubber

19 0.65 Hardwood

20 1.0000 Water or Personnel

The three tables, solid, region, and region identification, comprise a complete COM-GEOM target description.

III. COMBINATORIAL GEOMETRY DESCRIPTION OF THE M577A1 LIGHT TRACKED COMMAND POST CARRIER

The M577A1 Command Post Carrier is a modification of the M113A1 Armored Personnel Carrier. The combinatorial geometry description of each carrier is similar for the tracked section and lower half of each vehicle, however, the vehicles have different upper structures and different geometric origins.

The M577A1 has its origin in a right-handed coordinate system. The X-axis origin is centered in the gunner's hatch of the vehicle with positive X direction forward, the Y-axis origin is the center-line of the vehicle with left (driver's side) being the positive axis, and the Z- axis origin is 71.81 inches above the ground and Z positive is upward.

Figure 3 depicts the coordinate system superimposed on a computer plot of an oblique view of the light tracked Command Post Carrier.

The complete COM-GEOM description consists of 1126 solids and 1126 regions. The Appendix contains a listing of the COM-GEOM description, where parts I, II and III contain the described solid, region, and the region identification tables, respectively.

IV. VALIDATION PROCEDURE

One of the most important aspects of the description process is the

14

Figure 3. Coordinate System Superimposed upon an oblique view of the M577A1 Command Post Carrier.

15

validation of the target description. This procedure is extensive and frequently entails almost as much time as that devoted to describing the target. The Command Post Carrier description has undergone the following

validation procedure:

The CHECK subroutine of the GIFT Code was utilized to identify overlapping regions. Any regions found overlapping, that is sharing a common point in space with any other region within a tolerance of .25

millimetres, were corrected.

A particularly important consideration in target description validation is the identification and elimination of unwanted voids or unde- fined spaces. The GRID subroutine of the GIFT code was used to examine this potential problem. GRID traces shotlines completely through a description from any desired aspect; it lists the line-of-sight (LOS) thickness, the normal thickness and the obliquity angle of every item encountered along each shotline. Once this information is obtained the location of voids become apparent. All voids found in the Command Post

Carrier description have been eliminated.

Another step in the validation process is the production and exami- nation of computer plots (scaled drawings) of the target description. These plots are produced by the PICTUR subroutine of the GIFT code. Figures 3 through 7 are examples of the plots produced by PICTUR. Numerous plots of the Command Post Carrier description were carefully

examined and any observed errors corrected.

16

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Figure 7. Computer Front and Rear views of the M577A1 Command Post Carrier.

20

APPENDIX

M577A1 COMBINATORIAL GEOMETRY DESCRIPTION

Part I. Body (Solid) Table

Part II. Region Table

Part III. Region Identification Table

21

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Commander US Army Intelligence and

Threat Analysis Center ATTN: IAX-0T-P (MAJ Zamory) Room 2201, Bldg. A Arlington Hall Station Arlington, VA 22212

Commandant US Army Armor School ATTN: Armor Agency Fort Knox, KY 40121

Commandant US Army Armor School ATTN: ATSB-CD-MM Fort Knox, KY 40121

Commandant US Army Aviation School ATTN: Aviation Agency Fort Rucker, AL 36362

Commandant US Army Engineer School ATTN: Library Fort Belvoir, VA 22060

Commander US Army Field Artillery School ATTN: ATSF-CD-D (MAJ Moyer) Fort Sill, OK 73503

Commandant US Army Infantry School ATTN: ATSH-I-MS-F Fort Benning, GA 31905

Commandant US Army Infantry School ATTN: Infantry School Fort Benning, GA 31905

Commandant US Army Intelligence School ATTN: DCI Fort Huachuca, AZ 85613

Commander US Army John F. Kennedy Ctr

for Military Assistance ATTN: Special Opns Agency Fort Bragg, NC 28307

Commander US Army Admin Center and

Ft. Ben Harrison ATTN: ATZI-CD-SD (MAJ Zeedky) Ft. Ben Harrison, IN 46216

Commander US Army Combined Arms Center

and Ft. Leavenworth ATTN: ATCA-CI (CPT McElwee) Fort Leavenworth, KS 66027

Commander Naval Ships Engineering Center Center Building Prince Georges Center Hyattsville, MD 20783

Commander Naval Surface Weapons Center ATTN: DX-21, Library Br Dahlgren, VA 22448

106

DISTRIBUTION LIST

No. of Copies Organization

3 Commander Naval Weapons Center ATTN: Code 31804

Code 3835 Code 318

China Lake, CA 93555

No. of Copies

ADTC (DLODL/ADBRL-2) Eglin AFB, FL 32542

AFATL (DLYW) Eglin AFB, FL 32542

TAWC Eglin AFB, FL 32542

OSU Field Office P.O. Box 1925 Elgin AFB, FL 32542

TAC (INAT) Langley AFB, VA 23365

AFFDL (FBS) Wright-Patterson AFB, OH 45433

Organization

Sandia Laboratories ATTN: Gary Brown, Div 8324 Livermore, CA 94550

Aberdeen Proving Ground

Dir, USAMSAA ATTN: DRXSY-D

DRXSY-GS, Mr. B. King Mr. Sandmeyer

DRXSY-MP, H. Cohen

Cmdt, USAOC^S ATTN: ATSL-CLC-C

Cdr, USATECOM ATTN: DRSTE-TO-F

Dir, USAHEL ATTN: Dr. J. Weisz

Dir, Wpns Sys Concepts Team Bldg. E3516, EA ATTN: DRDAR-ACW

USAFE APO New York 09012

Lawrence Livermore Laboratory ATTN: Don Blumenthal, L-7 P.O. Box 808 Livermore, CA 94550

Los Alamos Scientific Lab ATTN: Joe Forward, WPC-2 P.O. Box 1663 Los Alamos, NM 87545

Sandia Laboratories ATTN: William Roherty,

Div 1311 Albuquerque, NM 87115

107

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archive.orgTECHNICAL LIBRARY AD MEMORANDUM REPORT ARBRL-MR-02976 A COMBINATORIAL GEOMETRY COMPUTER DESCRIPTION OF THE M577A1 LIGHT TRACKED COMMAND POST CARRIER Carl Crisco Kenneth

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