Cylinder Expansion (Gurney Constant) and Warhead Fragmentation. Part 2. Computerized Data Reduction

76 Pages·4.276 MB·English

by  Plauson Richard A., Mitchel Charles T.

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fille -tlt' ix~ost~v. ,,a 4is u &li:0,4r'; OonaonI
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wafla ions ~istae 85 iAa i of th nowtu ievueued, it,
ftheMd etl'6 ''the exovee, ,S ~th w&ii qad Au~td ie~totof
cyl'idr epa~iuo fori airnay4dby mmt~i filMtit~ dn Vatihdt%
standardized, this test. p~oaedijro vwI1 pkmitecrrlio of
the evaluzations of ep.idvTcopoun4u betwoomlabcratbries.
PArt 2 of this report ;over* thb coikutrtz.edwr'dtovk 'of the
pietprial data to tab(zAar lfftin s an grophic. displays,.
5
NWC164hn1.cal Pubiaii &240, Part 2
Published by Devlpet Department
. ... .Prpuion
Collatio . . .. . . Cover;,35 leaves, iOP Fatml1473, absttuct cards
,4e printin~g . 0' * * # * , a .. , . . 260 nu1t~~ cop: es
bocurity elsoLficsttn a P .. * UNLSSPE
Naval Weapons Center
AN ACTIVITY OF THE NAVAL MATERIAL COMMAND
W. J. K*c,,an, RADM, USN ................................. Commander
H. G. Mlson ...... ................................ Technical Director
FOREWORD
This report desctibes the development of a cylinder expansion
test used in assessing the metal acceleration capability of explo-
SLves. Two methods, manual and automated, for the translation of
the photographic recordings are presented. The techniques described
were developed by the Explosives Research Branch (Code 4541) at the
Naval Weapons Center (NWC), China Lake, California. This work was
performed during fiscal years 1968-71 under Task Assignment AirTask
A350 350D/216B/2 F17-353-501.
This report is presented in two parts. Part 1 contains a
description of the test program and Part 2 a complete listing of
the tabu" ted, reduced data. Distribution of Part 2 has been
limited -o those facilities or individuals known to be engaged in
explosive testing technology or applications thereof. Others may
obtain copies of Part 2 by requesting from the Defense Documentation
Genter.
The material in this report has been reviewed for technical
accuracy by C. D. Lind (Code 4541). This report is presented for
use at the working level and does not necessarily reflect the
official view or final judgment of NWC.
Released by Under authority of
R. REED, Head G. W. LEONARD, Head
Applied Research and Propulsion Development Department
Processing Division
1 September 1972
iii
__ _ __ _ __
NC TP 5240
PART 2
INTRODUCTION
The analytical processes used in the cylinder expansion test pro-
gram (described in Part 1) were extremely tedious awd allowed several
areas of possible errors. Serious consideration was given to automating
the data reduction procedures. As a result, Control Data Corporation
(CDC), Ridgecrest, California, was given the responsibility of designing
a computerized system of reducing the film data and information sheets
into printouts and graphic presentations. The resulting CYLEX program
was devised by Joseph Nemcek of CDC.
THE CYLEX PROGRAM
The CYLEX program consists of a main line (CYLEX), two data mani-
pulation subroutines (TEMP2, TEMP3), and three special purpose sub-
routines (POINTR, ORTHLS, COEFS). CYLEX is the name of the main line
program which initiates the data processing. In CYLEX the plot array
is established and the common areas filled. CYLEX reads the raw data
cards and fills the X and Y arrays which are then fitted to a curve by
means of an orthogonal least squares fit of order specified by the user.
TEMP2 is the tabulation computation subroutine called by CYLEX.
TEMP2 creates the values for the variables TJ, RJ, TDJ, Rj , Vj', Alpha",
RINJ', and VOLJ'/VOLD. These values are then printed in tabular form by
the printer and/or the plotter, based on a user declared option. TFNP2
also calculates the above variables at the points 5, 10, 15, 19, 26,
32 mm from the Yo radius point. The specified point values that fall
within the limits of the data fitted in CYLE% are printed at the end of
the table output and at the completion of an entire run the average of
the top and bottom values, if available, are printed at the end of the
tabular list.
TEMP3 is the subroutine to do the plotting. Entry is from TEMP2
based on a check of user specified plot options. If any plots are re-
quested, TEMP3 is called, othezwise control is returned from TEMP2 to
CYLEX. Five different graphs may be produced in TEMP3:
Vj vs TJ
Rj-R vs Tj
O
R-R vs TJ
o
Alphaj' (Alpha* in tabular printout) vs RJ'
Rj vs TJxD (TDJ in tabular printout)
o - -.
I
NWC TP 5240
PART 2
Each of the graphs has a fixed ordinate sc and an abFcissa
scale that is thirty units long. Since each graph #y exteiid over more
than one page, the abscissa scale limits are variable from -99 to +999
with the first graph of a series having as smal3 .st abscissa value an
integral ten below the least abscis3a data value.
TEMP3 also contains a checking section that ill mark, on demand,
tne points on the graphs equivalent to the valu" ca.culated at the 5,
10, 15, 19, 26, and 32 mm points.
After completion of all requested plots, a "walk bci' to CYLEX
occurs.
POINTR is a spacial purpose routine to draw either an arrow or a
triangle on the plotter at any specific X, Y location. The arrow is
80 x 20 rosters and the triangle 40 x 20 rosters. The specified X, Y
location is the point of the arrow or the apex of the equal siies of the
isosceles triangle. The symbol is orientable in 360 degrees wi'h 0' when
the arrow is vertical and increasing degrees running counter clokwise,
ORTHLS is the math pack orthogonal polynomial routine and finAs tbs!
parameters ef the least squares polynomial which best approximates o'
weighted set of pointp using orthogonal polynomials.
COEFS is the math pack routine to create a set of coefficients Pf
the least squares polynomial which best approximates a weighted set ot
data points using the orthogonality parameters created by ORTHLS.
In the program is a table called POINTS set with values of the six
known points from which the "Top" and "Bottom" lines are written. This
table also is used for directing the drawing of the plot arrows. Or-
ganization of table is as below.
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____H T
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