4a ~M yal4' A Aewwichor and it." C CI ha li 0L) -PIK Sw- Par /o thI rbyotv A ef i fille -tlt' ix~ost~v. ,,a 4is u &li:0,4r'; OonaonI spe ttc lue.v~;tj-&~~ 4ope yt'm 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. 1 2 3 4 5 6 7 8 9 ____H T YA AlDh Jj VP JRP Distance 1 !5 2 10 3 15 4 19 5 26 6 32 2 A -A I~opvolrMw4 #A*E F. N N 3p m #A* on wee In ty___ NNInC cc,24 PATA IL I! 3wj ll ii~~~ A I U in O . . Ij .~ at8MO . l . I Iv: O ,, o~ 0 o In *MWWov mw N!WN N "i -0aNv0F -1 I A u I W 0I # '^0r- 4NW 11.a0 1 0 Wo )AIN C NOO ICO -A NM ME ki 4mV zw* A** .... *. 95 NNNN NNNN NN ~ 0.4 VI 4 . W I O MC O 0. 0N1 a' 0NN 0 CM;MM NMM mI, . w hI -- N N NN N N 00- = 4 W.4c 0 z* N 0 wo M4 ccIN a., 4 1.%V zo Co 0W6- 100 oC N i.- P N& O MM 0 0w s 0 N %A %N0 V N 4m0 NS. . 0: U cc 2N%NN N..W..W.flUV Nogi .* 0. *@ w . I.** . * ~ 1 64 0 000 N0 a: N M M MM MVEU 0m m .1 I,0 in ", ko 0 ILIO:O.,OOOOMCwM"t..nn~ *~~~ o. -, RR:290,.4,02CRO 41 % 14. ". iLNin u if~q; VN.O.. W*jC I 06 1.i* 0* l' aNWNNNNNNN jig 2o1~ NWC TP 5240 PART 2 0 * 00CC- ft4.4 0 o.4.tf46*ft" .,C.f. B.0t-0.: m "t ""Of.e el ffet 01mft4e . 0. . ftftCC9.Ca.ft ft4'601 0. *3v *1* 0. 00 0 06it..Vol-, .. CO coot466O49 wvC C C) 4C 0 f -CC0 0 C4 lt4 DCC0I *f C0f -6 U 4...f............0C4. a a 49 V . O ft.w ":-Vane : Oft9.40049.G.itftf. "to40 V, . ..... .... .e. 4 4 4 . ---- ... 4 46t- C0C06f 90- . 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