An Analytical Model for Propagation and Superposition of Internal Explosion Shockwaves in Closed Cuboid Structure

doi:10.3969/j.issn.1000-1093.2016.08.016

Abstract

Abstract: The method of using an image blast source to establish the reflection effect from the walls of structure is combined with the nonlinear superposition principle to deal with the multi-wave coupling effect. An analytical model of shockwave propagation and superposition in closed cuboid structure is established. The proposed model can be used for the rapid calculation of internal explosion loading in engineering projects. The results show that the maximum relative errors of theoretical and experimental first peak overpressures, pulse widths and specific impulses on the wall are less than -10.5%, -19.2% and 13.2%, respectively. The theoretical characteristic parameters of internal explosion are in good agreement with the experimental ones, which verifies the validity of this analytical model.

Key words: ordnance science and technology, internal explosion, closed space, explosion loading, shockwave overpressure, propagation, superposition

CLC Number:

O383⁺.2

YANG Ya-dong, LI Xiang-dong, WANG Xiao-ming. An Analytical Model for Propagation and Superposition of Internal Explosion Shockwaves in Closed Cuboid Structure[J]. Acta Armamentarii, 2016, 37(8): 1449-1455.

References

［1］ Anderson C E, Baker W E, Wauters D K, et al. Quasi-static pressure, duration, and impulse for explosions e.g.HE in structures[J].International Journal of Mechanical Sciences, 1983,25(6): 455-464.
[2］ Scott D H, Gregory D K. Development, characterization and testing of high blast thermataric compositions[C]∥The 31th International Pyrotechnics Seminer: Fort Collins, Colorado: IPSUSA Seminars Inc,2004.
[3］夏志成,许多,王静,等.结构内爆炸荷载作用下钢筋钢纤混凝土抗爆墙设计探讨[J].工程爆破,2008,14(2): 8-11.
XIA Zhi-cheng, XU Duo, WANG Jing,et al. Study of blast wall design under explosion load from its internal structure[J]. Engineering Blasting, 2008,14(2): 8-11.(in Chinese)
[4］胡宏伟, 宋浦, 赵省向,等.有限空间内部爆炸研究进展[J].含能材料,2013,21(4): 539-546.
HU Hong-wei, SONG Pu, ZHAO Sheng-xiang,et al. Progress in explosion in confined space[J]. Chinese Journal of Energetic materials, 2013,21(4): 539-546.(in Chinese)
[5］杨亚东,李向东,王晓鸣,等.密闭空间内爆炸缩比相似模型研究[J].振动与冲击,2014,33(2):133-139.
YANG Ya-dong, LI Xiang-dong, WANG Xiao-ming,et al. Scale similarity mode of internal explosion in closed field[J].Journal of Vibration and Shock, 2014,33(2):133-139.(in Chinese)
［6］杨亚东,李向东,王晓鸣，等.钢筋混凝土结构内爆炸相似模型试验研究［J］.南京理工大学学报,2016,40(2):135-141.
YANG Ya-dong, LI Xiang-dong, WANG Xiao-ming,et al. Experimental study on similarity mode of reinforced concrete structure under internal explosion［J］.Journal of Nanjing University of Science and Technology, 2016,40(2):135-141.（in Chinese）
[7］郭志昆,宋锋良,刘峰,等.扁平箱形密闭结构内爆炸的模型试验[J].解放军理工大学学报,2008,9(4): 345-350.
GOU Zhi-kun, SONG Feng-liang, LIU Feng, et al. Experiment of closed flat box structure subjected to internal detonation[J]. Journal of PLA University of Science and Technology, 2008,9(4): 345-350.(in Chinese)
[8］北京工业学院八系《爆炸及其作用》编写组.爆炸及其作用[M].北京:国防工业出版社,1979.
“Explosion and Its Use” Editing Group, the Eight Department, Beijing Institute of Technology. Explosion and its use[M].Beijing: National Defense Industry Press, 1979.(in Chinese)
[9］奥尔连科Л П.爆炸物理学[M].孙承纬,译.北京:科学出版社,2011.
Орленко Л П. Explosion physics[M].SUN Cheng-wei, translated. Beijing: Science Press,2011.(in Chinese)
[10］易仰贤.空爆冲击波马赫反射近似计算[J].爆炸与冲击,1983,3(2):44-49.
YI Yang-xian. Approximate calculation of mach reflection of explosive shock waves in air[J].Explosion and Shock Waves,1983,3(2): 44-49.(in Chinese)
[11］ Kinney G F, Graham K J. Explosive shocks in air[M].Berlin: Springer-Verlag,1985.
[12］ Wu C, Hao H. Modeling of simultaneous ground shock and airblast pressure on nearby structures from surface explosions[J]. International Journal of Impact Engineering, 2005,31(6):699-717.
[13］ Needham C E. Blast waves[M]. Berlin: Springer-Verlag,2010.
[14］ Baker W E. Explosion hazards and evaluation[M].New York: Elsevier Publishing Company,1983.

[1]	LI Shiquan, ZHU Wenchao, SUN Fangping, WANG Yuhui, WANG Jianping. Effect of Particle Injection Velocity on Aluminum Powder/air Two-phase Rotating Detonation Waves [J]. Acta Armamentarii, 2024, 45(4): 1148-1157.
[2]	BAI Zhun, HU Yutao, QIAN Bingwen, YAO Hang, LI Xian, GUO Xuekang. Experimental Study on Cumulative Damage of Shear Wall Under Multiple Internal Explosions [J]. Acta Armamentarii, 2023, 44(S1): 50-58.
[3]	WU Zhangjun, WANG Xueming, YU Wenjun, DENG Shuxin, CHEN Jianyu, JIN Dongyan, YU Bingbing. Propagation Law of Shock Wave jn Z-shaped Diffusion Chamber [J]. Acta Armamentarii, 2023, 44(S1): 160-169.
[4]	YU Wenjun, CHEN Shengyun, DENG Shuxin, YU Bingbing, JIN Dongyan. Numerical Simulation of the Propagation Law of Explosion Shock Wave in Turning Tunnel [J]. Acta Armamentarii, 2023, 44(S1): 180-188.
[5]	YANG Shuo, DU Tianwei, ZHANG Xiaopeng, MA Liang, ZHANG Guichang. Effect of Foreign Object Damage on Vibration Fatigue Crack Propagation of Blades [J]. Acta Armamentarii, 2023, 44(6): 1713-1721.
[6]	XI Xuechen, YANG Pengfei, WANG Kuanliang. Oscillations Characteristics of One-dimensional Detonation Waves in Non-Uniform Hydrogen-Air Mixture [J]. Acta Armamentarii, 2023, 44(4): 982-993.
[7]	HU Rong, JIANG Chunlan, LU Guangzhao, WANG Zaicheng, MAO Liang. Damage Effects and Engineering Computational Model of Internal Explosion of Airfield Runway [J]. Acta Armamentarii, 2023, 44(4): 929-939.
[8]	SHEN Yuting, MENG Xin, GAO Yueqing. Hierarchical Information Dissemination Method for Unmanned Cluster Targets Allocation [J]. Acta Armamentarii, 2023, 44(10): 3006-3025.
[9]	LI Mingjun， JIANG Yi， MA Liqi， PAN Xiao. The Prediction Method Based on Neural Network Algorithm for the Bearing Capacity of Launching Site [J]. Acta Armamentarii, 2022, 43(5): 982-991.
[10]	MENG Haolong, WENG Chunsheng, WU Yuwen, ZHENG Quan, XIAO Qiang, WANG Fang, BAI Qiaodong. Numerical Simulation of Cavity Influence on C₂H₄/Air Rotating Detonation Flow Field in Annular Combustor [J]. Acta Armamentarii, 2022, 43(5): 1063-1074.
[11]	FAN Chao, WANG Ding, YANG Bin, YIN Jiexin. An Algorithm for Underwater Target Localization of Multistatic Sonar System with Unknown Signal Propagation Speed [J]. Acta Armamentarii, 2022, 43(3): 637-652.
[12]	LIU Chang, WANG Jiang, FAN Shipeng, LI Ling, LIN Defu. BP Neural Network-Based Adaptive Biased Proportional Navigation Guidance Law [J]. Acta Armamentarii, 2022, 43(11): 2798-2809.
[13]	MA Mengxin， LI Rong, NIU Lanjie. Evaluation Index of Disturbance Superposition Degree in Multi-layer Penetration Acceleration Signal [J]. Acta Armamentarii, 2022, 43(1): 20-28.
[14]	WU Mingliang， ZHENG Quan， XU Han， WENG Chunsheng， BAI Qiaodong. The Influence of Hydrogen Proportion on the Propagation Characteristics of Hydrogen-kerosene-air Rotating Detonation Waves [J]. Acta Armamentarii, 2022, 43(1): 86-97.
[15]	GAO Feng, ZHANG Ze. Review on Performance Evaluation of Solid Rocket Motors with Charge Defects [J]. Acta Armamentarii, 2021, 42(8): 1789-1802.