Strojniški vestnik - Journal of Mechanical Engineering 58(2012)6, 403-410
Fig. 1. Block diagram for CUMUL program
M N ( X n − X s )2 + = + X s2 2 E C C
V0
3 1 X s ( X n − X s ) + 1 + 3 X n X s3
where: 2E M C N Xm Xn Xs
−1 2
,
(1)
where Rm radial location of liner surface (Fig. 2) Rn radial location of confinement surface Rs Lagrangian radial position of an assumed stationary surface:
Gurney constant, liner mass per unit area, explosive charge mass per unit area, confinement mass per unit area, location of liner surface, location of confinement surface, location of stationary surface: X s = X n (1 2 + N C ) ( M C + N C + 1) .
3. Chanteret formula [1]:
404
−1 2
.
N 3β + 1 A M β +3 = A2 + + − + 2 E C 6β + 6 3 C 6β + 6
V0
where:
1 ( Rs − Rm ) ( 3Rm + Rs ) + Rn2 − Rm2 6
1 ( Rn − Rs ) ( 3Rn + Rs ) + 6 ( Rn2 − Rm2 ) ( Rs − Rm )2
M 1 + C 6
−1 2
,
(3)
4. Hirsch formula [2]:
M N ( Rn − Rs )2 V0 = + + 2 2 E C C ( Rs − Rm )
3
R 2 − Rm2 = n2 2 2 E Rs − Rm
V0
2. Gurney formula for imploding cylinder
+
N M Rs3 + 3Rs ( Rn + Rm ) Rn + Rm + Rm Rn − C C 2 M N −3Rm Rn ( Rn + Rm ) + + = 0. 3 C C
(2)
M β +2 β+ R C 3β + 3 A= , β= n. N 2β + 1 Rm + C 3β + 3
Jaramaz, S. – Micković, D. – Elek, P. – Jaramaz, D. – Micković, D.
−1 2
, (4)