This study develops a method for structural and parametric optimization of combined ballistic launchers for the selected criterion with restrictions. Mathematical modeling of intrachamber processes is carried out in the framework of a unified approach based on quasi-one-dimensional continual media equations. Three types of media are considered: gunpowder, deformable piston, and gas. For structural and parametric optimization, a genetic algorithm is used. Crossover and mutation operators have been developed for the structure and parametric optimization of combined ballistic launchers as a class of objects. Operating with a variable set of parameters is the feature of the algorithm. A parallel implementation of the genetic algorithm with the rejection of “generations” was used. A model problem was calculated as an example of the developed algorithm operation. As a result, one can observe the evolution of the ballistic launcher structure by the rate of muzzle velocity.

Topics
Evolutionary computation, Projectiles, Mathematical modeling
1.
Hypervelocity Launchers
, edited by
F.
 
Seiler
 and
O.
 
Igra
 (
Springer
,
2016
).
Google Scholar
Crossref
Search ADS
 
2.
N. A.
 
Zlatin
,
A. P.
 
Krasilshchikov
,
G. I.
 
Mishin
 and
N. N.
 
Popov
,
Ballistic installations and their application in experimental studies
(
Nauka, Moscow
,
1974
) (in Russian).
Google Scholar
 
3.
Y. F.
 
Khristenko
,
S. A.
 
Zelepugin
 and
A. V.
 
Gerasimov
,
ARPN Journal of Engineering and Applied Sciences.
Vol.
12
, No.
22
,
6606
–
6610
(
2017
).
Google Scholar
 
4.
A.
 
Moradi
 and
H.
 
Ahmadikia
,
Adv. Theor. Appl. Mech.
, Vol.
4
, No.
3
,
101
–
111
(
2011
).
Google Scholar
 
5.
C.
 
Cheng
 and
X.
 
Zhang
,
Int. J. of Numerical Methods for Heat & Fluid Flow
 
23
(
8
),
1277
–
1290
(
2013
).
https://doi.org/10.1108/HFF-11-2011-0242
Google Scholar
Crossref
Search ADS
 
6.
H.
 
El Sadek
,
X.
 
Zhang
 and
M.
 
Rashad
,
WSEAS Transactions on Applied and Theoretical Mechanics
 
9
,
80
–
87
(
2014
).
Google Scholar
 
7.
N. V.
 
Bykov
,
Journal of Physics: Conference Series
 
572
,
012055
(
2014
).
Google Scholar
 
8.
Wetz
 
D.
,
McNab
 
I.
,
Stefani
 
F.
,
Parker
 
J.
 //
Acta Physica Polonica A.
 
115
(
6
),
1066
–
1068
(
2009
)
https://doi.org/10.12693/APhysPolA.115.1066
Google Scholar
Crossref
Search ADS
 
9.
High-Velocity Impact Phenomena
, edited by
R.
 
Kingslow
 (
Academic Press
,
New York
,
1970
).
Google Scholar
 
10.
R.
 
Putzar
 and
F.
 
Schaefer
,
International Journal of Impact Engineering
 
88
,
118
–
124
(
2016
).
https://doi.org/10.1016/j.ijimpeng.2015.09.009
Google Scholar
Crossref
Search ADS
 
11.
Z.
 
Shi-Cao
,
S.
 
Zhen-Fei
 and
Z.
 
Xiao-Ping
,
Proc. Engineering
 
58
,
98
–
109
(
2013
).
https://doi.org/10.1016/j.proeng.2013.05.013
Google Scholar
Crossref
Search ADS
 
12.
V. Z.
 
Kasimov
,
O. V.
 
Ushakova
 and
Yu. P.
 
Khomenko
,
J. of Appl. Mech. and Tech. Phys.
 
44
(
5
)
612
–
619
(
2003
).
https://doi.org/10.1023/A:1025535816457
Google Scholar
Crossref
Search ADS
 
13.
N. V.
 
Bykov
 and
E. A.
 
Nesterenko
,
Scientific Visualization
,
7
(
1
),
65
–
77
(
2015
).
Google Scholar
 
14.
Y.
 
Wada Y
,
NASA Techn. Memorandum
 
106452
; AIAA-94-0083 (
1994
).
Google Scholar
 
15.
P. E.
 
Gill
 and
W.
 
Murray
,
SIAM Review
, Vol.
47
, No.
1
,
99
–
131
(
2005
).
https://doi.org/10.1137/S0036144504446096
Google Scholar
Crossref
Search ADS
 
16.
A.
 
Konak
,
D. W.
 
Coi
 and
A. E.
 
Smith
,
Reliab. Eng. Syst. Saf.
,
91
(
9
),
992
–
1007
(
2006
).
https://doi.org/10.1016/j.ress.2005.11.018
Google Scholar
Crossref
Search ADS
 
17.
Practical Handbook of Genetic Algorithms
, edited by
L. D.
 
Chambers
 (
CRC Press
,
Boca Raton FL
,
1995
).
Google Scholar
 
18.
M. C.
 
Wu
,
Lin
 
C. S.
,
C. H.
 
Lin
,
C. F.
 
Chen
,
Computers and Operations Research
 
80
,
101
–
112
(
2017
).
https://doi.org/10.1016/j.cor.2016.11.021
Google Scholar
Crossref
Search ADS
 
19.
Z.
 
Qiongbing
,
D.
 
Lixin
,
Expert Sys. Appl.
,
60
,
183
–
189
(
2016
).
https://doi.org/10.1016/j.eswa.2016.04.005
Google Scholar
Crossref
Search ADS
 
20.
L.
 
Zhang
 and
T. N.
 
Wong
,
Eur. J. Oper. Res.
 
244
(
2
),
434
–
444
(
2015
).
https://doi.org/10.1016/j.ejor.2015.01.032
Google Scholar
Crossref
Search ADS
 
21.
M.
 
Chanthasuwannasin
,
B.
 
Kottititum
 and
T.
 
Srinophakun
,
Chem. Eng. Commun.
 
204
(
8
),
840
–
851
(
2017
).
https://doi.org/10.1080/00986445.2017.1294583
Google Scholar
Crossref
Search ADS
 
22.
Z.
 
Wang
,
L.
 
Zhao
,
N.
 
Cao
,
Jilin Daxue Xuebao (Gongxueban)
 
47
(
3
),
751
–
755
(
2017
).
Google Scholar
 
23.
F.
 
Herrera
,
M.
 
Lozano
 and
J. L.
 
Verdegay
,
Artificial Intelligence Review
 
12
(
4
),
265
–
319
(
1998
).
https://doi.org/10.1023/A:1006504901164
Google Scholar
Crossref
Search ADS
 
24.
L.J.
 
Eshelman
 and
J.D.
 
Schaffer
,
Foundations of Genetic Algorithms
 
2
,
187
–
202
(
1993
).
Google Scholar
 
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