长杆高速侵彻的特征控制参量分析

尹志勇; 陈小伟

doi:10.11883/bzycj-2020-0057

长杆高速侵彻的特征控制参量分析

doi: 10.11883/bzycj-2020-0057

尹志勇^{1, 2,},
陈小伟^{1, 3, ,}

1.
北京理工大学爆炸科学与技术国家重点实验室，北京 100081
2.
北京理工大学机电学院，北京 100081
3.
北京理工大学前沿交叉科学研究院，北京 100081

基金项目: 国家自然科学基金（11627901，11872118）

详细信息

作者简介:
尹志勇（1998－　），男，硕士研究生，3120200140@bit.edu.cn

通讯作者:
陈小伟（1967－　），男，博士，教授，chenxiaoweintu@bit.edu.cn

中图分类号: O389
计量
- 文章访问数: 1023
- HTML全文浏览量: 465
- PDF下载量: 103
- 被引次数: 0
出版历程
- 收稿日期: 2020-03-05
- 修回日期: 2020-06-30
- 网络出版日期: 2021-02-02
- 刊出日期: 2021-02-05

Analysis of characteristic control parameters of long-rod penetration

YIN Zhiyong^{1, 2
,},
CHEN Xiaowei^{1, 3
, ,}

1.
State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
2.
School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China
3.
Advanced Research Institute for Multidisciplinary Science, Beijing Institute of Technology, Beijing 100081, China

摘要

摘要: 针对理想长杆侵彻，通过对长杆侵彻Alekseevskii-Tate模型近似解进行分析，指出单一的无量纲速度衰减系数α（deceleration index）不足以完全表征长杆高速侵彻的准定常阶段。在此基础上，重新定义了2个无量纲特征参量：Johnson破坏数Φ_Jp和特征时间系数β，2个参量之间的关系为α=β/Φ_Jp。分析表明，Φ_Jp和β（或α和β）可实现对长杆高速侵彻准定常阶段的弹尾速度的完全表征；若再引入长杆弹相对临界速度v_c*，则可完全表征长杆侵彻的准定常阶段。此外，还证明了α能够判定侵彻过程偏离定常状态的程度，并指出通过确定Φ_Jp和β（或α和β），可针对攻防需求对长杆弹侵彻设计进行指导。
- 长杆侵彻 /
- Alekseevskii-Tate模型 /
- 特征参量 /
- Johnson破坏数 /
- 特征时间系数 /
- 无量纲速度衰减系数
Abstract: For ideal long-rod penetration, by analyzing the approximate solutions of the Alekseevskii-Tate model for long-rod penetration, it is pointed out that the single deceleration index α is not sufficient to fully describle the quasi-steady process of long-rod penetration. This paper redefines two dimensionless parameters, namely Johnson demage parameter Φ_Jp and characteristic time parameter β, and α=β/Φ_Jp. The analysis shows that two characteristic parameters Φ_Jp and β (or α and β) can completely characterize the impact velocity of the projectile tail in the quasi-steady process of long-rod penetration. If the dimensionless critical impact velocity v_c* is introduced, the quasi-steady process of long-rod penetration can be fully characterized. In addition, this paper strictly proves that the degree of deviation from the steady state in the penetration process can be determined by α, and confirms that by determining Φ_Jp and β (or α and β), the design of long-rod penetration can be guided for offensive and defensive needs.
- long-rod penetration /
- Alekseevskii-Tate model /
- characteristic parameters /
- Johnson demage parameter /
- characteristic time parameter /
- deceleration index

HTML全文

图 1 长杆高速侵彻过程无量纲化速度衰减示意图

Figure 1. Schematic of the deceleration of dimensionless tail velocity during long-rod penetration process

下载: 全尺寸图片幻灯片

图 2 无量纲系数 $\ \beta$ 随 ${v_{\rm{0}}}$ 、 ${\ \rho _{\rm{p}}}$ 、 ${\ \rho _{\rm{t}}}$ 、 ${Y_{\rm{p}}}$ 和 ${R_{\rm{t}}}$ 的变化情况

Figure 2. Variation of dimensionless coefficient $\ \beta$ with ${v_{\rm{0}}}$ , ${\ \rho _{\rm{p}}}$ , ${\ \rho _{\rm{t}}}$ , ${Y_{\rm{p}}}$ and ${R_{\rm{t}}}$

下载: 全尺寸图片幻灯片

图 3 不同工况下瞬时弹尾速度在侵彻过程中的变化

Figure 3. Variation of instant tail velocities during penetration process in different cases

下载: 全尺寸图片幻灯片

表 1 长杆侵彻设计工况中的相关参数

Table 1. Related parameters of long-rod penetration design

v₀/(km·s⁻¹)	L/mm	$\ {\rho _{\rm{p} } }$ /(g·cm⁻³)	$\ {\rho _{\rm{t} } }$ /(g·cm⁻³)	${Y_{\rm{p}}}$ /GPa	${R_{\rm{t}}}$ /GPa
1.5	81.7	17.4	7.8	2.0	4.94

下载: 导出CSV

表 2 设计工况中相关参数

Table 2. Summary of parameters in the designed cases

工况	${v_{\rm{0}}}$ / (km·s⁻¹)	$L$ / mm	$\ {\rho _{\rm{p}}}$ / (g·cm⁻³)	$\ {\rho _{\rm{t}}}$ / (g·cm⁻³)	${Y_{\rm{p}}}$ /GPa	$\alpha$ /%	${\varPhi _{{\rm{Jp}}}}$	$\ \beta$
1	1.5	100	19.00	9.00	2.0	11.48	21.375	2.453
2	1.5	50	19.00	9.00	2.0	11.48	21.375	2.453
3	3.0	100	19.00	9.00	2.0	2.87	85.500	2.453
4	3.0	100	13.00	9.00	2.0	3.76	58.500	2.202
5	3.0	100	13.00	5.00	2.0	4.47	58.500	2.612
6	1.5	100	19.00	9.00	1.0	5.74	42.750	2.453
7	1.5	100	23.75	5.56	2.0	11.48	26.719	3.067
8	1.5	100	19.00	12.56	2.2	11.48	19.432	2.230
9	1.5	100	19.00	9.00	0	0	∞	2.453

下载: 导出CSV

参考文献(10)

[1]	焦文俊, 陈小伟. 长杆高速侵彻问题研究进展 [J]. 力学进展, 2019, 49(1): 312–391. DOI: 10.6052/1000-0992-17-021. JIAO W J, CHEN X W. Review on long-rod penetration at hypervelocity [J]. Advances in Mechanics, 2019, 49(1): 312–391. DOI: 10.6052/1000-0992-17-021.
[2]	ALLEN W A, ROGERS J W. Penetration of a rod into a semi-infinite target [J]. Journal of the Franklin Institute, 1961, 272(4): 275–284. DOI: 10.1016/0016-0032(61)90559-2.
[3]	ALEKSEEVSKII V P. Penetration of a rod into a target at high velocity [J]. Combustion, Explosion and Shock Waves, 1966, 2(2): 63–66. DOI: 10.1007/BF00749237.
[4]	TATE A. A theory for the deceleration of long rods after impact [J]. Journal of the Mechanics and Physics of Solids, 1967, 15(6): 387–399. DOI: 10.1016/0022-5096(67)90010-5.
[5]	TATE A. Further results in the theory of long rod penetration [J]. Journal of the Mechanics and Physics of Solids, 1969, 17(3): 141–150. DOI: 10.1016/0022-5096(69)90028-3.
[6]	焦文俊. 长杆高速侵彻的1D和2D理论模型 [D]. 合肥: 中国科学技术大学, 2019.
[7]	JIAO W J, CHEN X W. Analysis of the velocity relationship and deceleration of long-rod penetration [J]. Acta Mechanica Sinica, 2019, 35(4): 852–865. DOI: 10.1007/s10409-019-00862-1.
[8]	JIAO W J, CHEN X W. Approximate solutions of the Alekseevskii-Tate model of long-rod penetration [J]. Acta Mechanica Sinica, 2018, 34(2): 334–348. DOI: 10.1007/s10409-017-0672-9.
[9]	WALTERS W, WILLIAMS C, NORMANDIA M. An explicit solution of the Alekseevski-Tate penetration equations [J]. International Journal of Impact Engineering, 2006, 33(1−12): 837–846. DOI: 10.1016/j.ijimpeng.2006.09.057.
[10]	ANDERSON Jr C E, WALKER J D. An examination of long-rod penetration [J]. International Journal of Impact Engineering, 1991, 11(4): 481–501. DOI: 10.1016/0734-743X(91)90015-8.