Pressure Time Formula for Underwater Explosion Based on Pressure Impulse Curve

XU Qing-tao; MA Hong-hao; ZHOU Zhang-tao; YANG Ke; SHEN Zhao-wu

doi:10.11883/bzycj-2023-0442

Article Contents

Article Navigation > Explosion And Shock Waves > 2024 > Accepted Manuscript

XU Qing-tao, MA Hong-hao, ZHOU Zhang-tao, YANG Ke, SHEN Zhao-wu. Pressure Time Formula for Underwater Explosion Based on Pressure Impulse Curve[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0442

Citation:

XU Qing-tao, MA Hong-hao, ZHOU Zhang-tao, YANG Ke, SHEN Zhao-wu. Pressure Time Formula for Underwater Explosion Based on Pressure Impulse Curve[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0442

Citation:

PDF( 1533 KB)

Pressure Time Formula for Underwater Explosion Based on Pressure Impulse Curve

doi: 10.11883/bzycj-2023-0442

1.
CAS Key Laboratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China, Hefei 230026, Anhui, China
2.
State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230026, Anhui, China
3.
China Ship Scientific Research Center, Wuxi 214082, Jiangsu, China

Received Date: 2023-12-14
Rev Recd Date: 2024-03-20

Available Online: 2024-04-07

Abstract

Abstract

The theoretical study of the attenuation law of underwater blast shock waves was of great significance for the prediction of the underwater blast power of the combatant. According to the pressure-impulse function when the material was subjected to shock loading, the pressure-time interval curve equation applicable to the shock loading of the underwater explosion was derived. Through the underwater explosion experimental method to measure the pressure time course curve of different amounts of drugs and different distances. Used MATLAB software to curve fit the experimental data, the underwater explosion shock wave attenuation section of the fitted curve. The experimental data were curve-fitted using Cole theoretical equations, Орленко theoretical equations, and the new model equations, respectively, and the fitting resolvability coefficients (R²) of the three equations were obtained. The impulse and energy parameters of the shock waves of the fitted curves were calculated and compared with the results of the general Cole and Орленко theories to verify the accuracy of the fitted curves. The correlation between the pressure decay curves obtained by the new method and the experimental values is closer than that of the exponential and inverse ratio segmental expressions of Cole and Орленко, and the coefficient of determination of the accuracy of the fit is more than 0.988. In calculating the values of the specific impulse and the specific energy of underwater explosive shock waves, the new model has a better accuracy of the calculations. The error between the new model and the experimental values in calculating the specific impulse does not exceed 4%, which is 5-10% higher than the error between the theoretical and experimental values of ОРЛЕНКО. The error of the specific shock wave energy from the experimental value does not exceed 1 percent, and the accuracy of the calculation is comparable to that of the general theory.
- underwater explosion,
- pressure decay,
- fitting,
- p-I curve.

FullText(HTML)

References(24)

References

[1]	汪明. 爆炸荷载作用下钢结构损伤机理及砌体墙破碎过程研究 [D]. 天津: 天津大学, 2010: 42–58. WANG M. Damage mechanism of steel structures and fragmentation process of masonry walls under blast loading [D]. Tianjin: Tianjin University, 2010: 42–58.
[2]	汪维. 钢筋混凝土构件在爆炸载荷作用下的毁伤效应及评估方法研究 [D]. 长沙: 国防科学技术大学, 2012: 121–136. WANG W. Study on damage effects and assessments method of reinforced concrete structural members under blast loading [D]. Changsha: National University of Defense Technology, 2012: 121–136.
[3]	Washington, DC. Structures to resist the effects of accidental explosions[R]. Departments of the Army, the Navy, and the Air Force, 1990. Army Technical Manual No. 5-1300, Navy Publication NAVFAC P-397, and Air Force Manual AFM 88–22, Revision 1.
[4]	ZHANG X H, HAO H, MA G W. Parametric study of laminated glass window response to blast loads [J]. Engineering Structures, 2013, 56: 1707–1717. DOI: 10.1016/j.engstruct.2013.08.007.
[5]	王奕鑫, 马宏昊, 沈兆武, 等. 水下爆炸中水面效应以及药包形状对冲击波的影响 [J]. 中国测试, 2018, 44(10): 7–13,30. DOI: 10.11857/j.issn.1674-5124.2018.10.002. WANG Y X, MA H H, SHEN Z W, et al. Effect of water surface and shape of charge on shock wave in underwater explosion [J]. China Measurement & Test, 2018, 44(10): 7–13,30. DOI: 10.11857/j.issn.1674-5124.2018.10.002.
[6]	金键, 朱锡, 侯海量, 等. 水下爆炸载荷下舰船响应与毁伤研究综述 [J]. 水下无人系统学报, 2017, 25(6): 396–409. DOI: 10.11993/j.issn.2096-3920.2017.05.002. JIN J, ZHU X, HOU H L, et al. Review of dynamic response and damage mechanism of ship structure subjected to underwater explosion load [J]. Journal of Unmanned Undersea Systems, 2017, 25(6): 396–409. DOI: 10.11993/j.issn.2096-3920.2017.05.002.
[7]	段超伟, 宋浦, 胡宏伟, 等. 水下爆炸气泡动态特性的研究进展 [J]. 爆破, 2022, 39(1): 140–151. DOI: 10.3963/j.issn.1001-487X.2022.01.021. DUAN C W, SONG P, HU H W, et al. Research progress on dynamic characteristics of underwater explosion bubbles [J]. Blasting, 2022, 39(1): 140–151. DOI: 10.3963/j.issn.1001-487X.2022.01.021.
[8]	COLE R H. Underwater explosions [M]. Princeton: Princeton University Press, 1948.
[9]	Л. П. 奥尔连科. 爆炸物理学 [M]. 孙承纬, 译. 北京: 科学出版社, 2011: 596–625. ОРЛЕНКО Л П. Explosion physics [M]. SUN C W, trans. Beijing: Science Press, 2011: 596–625.
[10]	KICIŃSKI R, SZTUROMSKI B. Pressure wave caused by trinitrotoluene (TNT) underwater explosion—short review [J]. Applied Sciences, 2020, 10(10): 3433. DOI: 10.3390/app10103433.
[11]	STIEPANOW W C, SIPILIN P M, NAWAGIN J S. et al. Tłoczenie wybuchowe (stamping with an explosion—in polish). Wydawnictwa Naukowo—Techniczne: Warsaw, Poland, 1968.
[12]	KEIL A H. Introduction to underwater explosion research [R]. Portsmouth: Norfolk Naval Ship Yard, 1956.
[13]	MING F R, ZHANG A M, XUE Y Z, et al. Damage characteristics of ship structures subjected to shockwaves of underwater contact explosions [J]. Ocean engineering, 2016, 117: 359–382. DOI: 10.1016/j.oceaneng.2016.03.040.
[14]	REID W D. Response of surface ships to underwater explosions [R]. Canberra: Defence Science and Technology Organization, 1996.
[15]	RAJENDRAN R, NARASIMHAN K. Deformation and fracture behaviour of plate specimens subjected to underwater explosion—a review [J]. International Journal of Impact Engineering, 2006, 32(12): 1945–1963. DOI: 10.1016/j.ijimpeng.2005.05.013.
[16]	GEERS T L, HUNTER K S. An integrated wave-effects model for an underwater explosion bubble [J]. The Journal of the Acoustical Society of America, 2002, 111(4): 1584–1601. DOI: 10.1121/1.1458590.
[17]	SHI Y C, HAO H, LI Z X. Numerical derivation of pressure–impulse diagrams for prediction of RC column damage to blast loads [J]. International Journal of Impact Engineering, 2008, 35(11): 1213–1227. DOI: 10.1016/j.ijimpeng.2007.09.001.
[18]	HUANG X, BAO H R, HAO Y F, et al. Damage assessment of two-way RC slab subjected to blast load using mode approximation approach [J]. International Journal of Structural Stability and Dynamics, 2017, 17(1): 1750013. DOI: 10.1142/S0219455417500134.
[19]	FALLAH A S, LOUCA L A. Pressure–impulse diagrams for elastic-plastic-hardening and softening single-degree-of-freedom models subjected to blast loading [J]. International Journal of Impact Engineering, 2007, 34(4): 823–842. DOI: 10.1016/j.ijimpeng.2006.01.007.
[20]	郑庆. 水的拉伸强度 [J]. 科学, 1992, 44(5): 35–38. ZHEN Q. Tensile strength of water [J]. Science, 1992, 44(5): 35–38.
[21]	黄西成. 内爆与外爆加载下壳体的力学状态及破坏模式分析 [D]. 绵阳: 中国工程物理研究院, 2010: 16–26. HANG X C. Analysis of mechanical states and failure modes of shells subjected to implosive and explosive loadings [D]. Mianyang: China Academy of Engineering Physics, 2010: 16–26.
[22]	陈继平. 含有活性气体的高能炸药爆炸性能和起爆机理研究 [D]. 合肥: 中国科学技术大学, 2023: 39–50. CHEN J P. Study on explosion property and initiation mechanism of high explosive containing active gas [D]. Hefei: University of Science and Technology of China, 2023: 39–50.
[23]	黄亮亮, 王林桂, 张西良, 等. 空气层对RDX水下爆炸性能影响的实验研究 [J]. 工程爆破, 2021, 27(5): 32–38. DOI: 10.19931/j.EB.20200120. HUANG L L, WANG L G, ZHANG X L, et al. Experimental study on the influence of air layer on the underwater explosion properties of RDX [J]. Engineering Blasting, 2021, 27(5): 32–38. DOI: 10.19931/j.EB.20200120.
[24]	BJARNHOLT G. Suggestions on standards for measurement and data evaluation in the underwater explosion test [J]. Propellants, Explosives, Pyrotechnics, 1980, 5(2/3): 67–74. DOI: 10.1002/prep.19800050213.