考虑弹-筒柔性的潜载导弹弹射多体动力学分析方法

doi:10.3969/j.issn.1000-1093.2022.02.008

摘要/Abstract

摘要： 在潜载导弹垂直弹射过程中，导弹的姿态变化是关系其发射成败的关键。针对潜载导弹垂直弹射过程提出一种可同时考虑弹体和发射筒柔性的弹射发射动力学建模分析方法。运用改进的柔性点线高副模型来模拟适配器的抗压和抗弯载荷，基于弹体水动力、附连水惯性力的单元线性分布假设，利用Hermite形状函数将单元分布载荷等效简化为单元节点集中力，并编程实现加载。仿真结果表明：导弹姿态与实验数据吻合较好，验证了该分析方法可信、实用；该方法为同时考虑导弹弹体-发射筒柔性的潜射动力学建模提供了新思路，也为拓展柔性体之间接触的简化建模提供了新途径。

关键词: 潜射导弹, 垂直弹射, 柔性点线高副, 适配器, 形状函数, 多体动力学

Abstract: In the process of vertical launch of submarine-borne missile, the attitude of missile is the key to the successful launch. A dynamics analysis method for ejection launching of submarine-borne missile considering flexibility of missile body and its canister. An improved model of flexible point-to-curve high pair is used to simulate the compression and bending loads of the adapters. Based on the assumption of element linear distribution of hydrodynamic force and water inertial force attached to missile body, Hermite shape function is used to simplify the element distributed load to a concentrated force on element nodes, and the loading is realized by GFOSUB subroutine development. The simulated results are in good agreement with the experimental data, which proves the practicality and credibility of this method. The proposed method provides a new idea for modeling the ejection launching dynamics of submarine-borne missile considering the flexibility of missile body and its canister, and also gaves a new approach for the simplified modeling of contact between flexible bodies.

Key words: submarine-bornemissile, verticalejectionlaunch, flexiblepoint-to-curvehighpair, shapefunction, multi-bodydynamics

中图分类号:

TJ762.4

张子豪, 王汉平. 考虑弹-筒柔性的潜载导弹弹射多体动力学分析方法[J]. 兵工学报, 2022, 43(2): 305-315.

ZHANG Zihao， WANG Hanping. Multi-body Dynamics Analysis Method for Ejection Launching of Submarine-borne Missile Considering the Flexibility ofMissile Body and Its Canister[J]. Acta Armamentarii, 2022, 43(2): 305-315.

参考文献

［1］王英华. 轴向载荷对潜射导弹横向振动特性影响分析［J］. 导弹与航天运载技术, 2002(6):9-15.
WANG Y H. Analysis of effect of axial load on lateral vibration of underwater-to-surface missile ［J］. Missiles and Space Vehicles, 2002(6):9-15.(in Chinese)
［2］丁彦超, 王宝寿. 垂直潜射导弹推力矢量控制弹道仿真研究［J］. 船舶力学, 2011, 15(1/2):87-94.
DING Y C, WANG B S. Study on the thrust vector control trajectory of underwater vertical launching missile ［J］. Journal of Ship Mechanics, 2011, 15(1/2):87-94.(in Chinese)
［3］郑帮涛. 潜射导弹出水过程水弹道及流体动力研究进展［J］. 导弹与航天运载技术, 2010(5):8-11，55.
ZHENG B T. Overview on hydroballistics and fluid dynamics of submarine-based missiles ［J］. Missiles and Space Vehicles, 2010(5): 8-11,55.(in Chinese)
［4］马溢清, 李欣. 潜射导弹水下垂直发射方式综述［J］. 战术导弹技术, 2010(3):124-128.
MA Y Q, LI X. Review on underwater vertical-launching mode for submarine-launched missiles［J］. Tactical Missile Technology, 2010(3):124-128.(in Chinese)
［5］黄岳, 崔奇伟, 马暄, 等. 横浪对潜射导弹出水姿态的影响［J］. 四川兵工学报, 2010, 31(8):39-40,46.
HUANG Y, CUI Q W, MA X, et al. Effects of horizontal waves on the water-out attitude of submarine-launched missiles［J］. Journal of Sichuan Ordnance, 2010, 31(8):39-40,46.(in Chinese)
［6］崔奇伟, 王瑞臣. 基于ANSYS/LS-DYNA的波浪对潜射导弹出水姿态影响分析［J］. 兵工自动化, 2011, 30(1):19-21.
CUI Q W, WANG R C. Wave effect on gesture perforating water of submarine-launched missile［J］. Ordnance Industry Automation, 2011, 30(1):19-21.(in Chinese)
［7］乐光明. 潜射导弹出水姿态与载荷特性分析［D］. 哈尔滨: 哈尔滨工业大学, 2011.
LE G M.The analysis of water-exit attitude and the load characteristic of submarine-based missiles［D］. Harbin: Harbin Institute of Technology, 2011.(in Chinese)
［8］张红军, 陆宏志, 裴胤, 等. 潜射导弹出筒过程的三维非定常数值模拟研究［J］. 水动力学研究与进展 A辑, 2010, 25(3):406-415.
ZHANG H J, LU H Z, PEI Y, et al. Numerical investigation to vertical launching of submarine launching missile［J］. Chinese Journal of Hydrodynamics, Ser. A, 2010, 25(3):406-415.(in Chinese)
［9］殷崇一. 潜射导弹发射与出水载荷研究［D］. 西安: 西北工业大学, 2004.
YIN C Y. Research on launch and discharge load of submarine launched missile［D］.Xi'an: Northwestern Polytechnical University, 2004.(in Chinese)
［10］曹嘉怡, 鲁传敬, 李杰, 等. 潜射导弹水下垂直自抛发射过程研究［J］. 水动力学研究与进展A辑, 2006, 21(6):752-759.
CAO J Y, LU C J, LI J, et al. Research on the vertical launching of direct igniting underwater missile［J］. Chinese Journal of Hydrodynamics,Ser. A, 2006, 21(6):752-759.(in Chinese)
［11］杨晓光. 潜射导弹水下发射及出水过程三维数值研究［D］. 哈尔滨: 哈尔滨工业大学,2009.
YANG X G. 3D Numerical simulation on the process of the missile underwater launching and exiting from water［D］. Harbin: Harbin Institute of Technology, 2009.(in Chinese)
［12］尚书聪, 张宇文, 袁绪龙. 导弹水下动机座垂直发射过程的水动力计算［J］. 舰船科学技术, 2009, 31(9):56-60.
SHANG S C, ZHANG Y W, YUAN X L. The hydrodynamic computation on moving base vertical launching of underwater missile［J］. Ship Science and Technology, 2009, 31(9):56-60.(in Chinese)
［13］傅慧萍. 潜射导弹运载器水弹道动力系统建模及其应用研究［D］. 西安: 西北工业大学, 2000.
FU H P. Modeling and application study on underwater trajectory dynamic system of submarine launched missile carrier［D］. Xi'an: Northwestern Polytechnical University, 2000.(in Chinese)
［14］马庆鹏. 潜射航行体出筒过程载荷特性的数值模拟研究［D］. 哈尔滨: 哈尔滨工业大学, 2011.
MA Q P. Numerical simulation on the tube-exit load characteristics of submarine-launched vehicle［D］. Harbin: Harbin Institute of Technology, 2011.(in Chinese)
［15］周源, 齐强, 陈志刚. 潜射导弹水中弹道建模与仿真［J］. 四川兵工学报, 2012, 33(9):16-18.
ZHOU Y, QI Q, CHEN Z G. Underwater ballistic modeling and simulation of submarine-launched missiles［J］. Journal of Sichuan Ordnance, 2012, 33(9):16-18.(in Chinese)
［16］王聪, 王学孝, 徐世昌, 等. 潜射导弹运动特性的分析与测试［J］. 导弹与航天运载技术, 2002(2):12-15.
WANG C, WANG X X, XU S C, et al. Analysis and testing on dynamic property of submarine-launched missile［J］. Missiles and Space Vehicles, 2002(2):12-15.(in Chinese)
［17］刘曜, 马震宇. 导弹水下垂直发射的弹道研究［J］. 战术导弹技术, 2006(2):21-25.
LIU Y, MA Z Y. Research on trajectory and hot separation of vertical underwater launched missile［J］. Tactical Missile Technology, 2006(2):21-25.(in Chinese)
［18］杨继锋, 李智生, 马亮, 等. 潜射航行体出筒过程运动特性研究［J］. 计算机仿真, 2020, 37(9):16-19,98.
YANG J F, LI Z S, MA L, et al. Research on the motion characteristics of submarine launched vehicle in the process of launching［J］. Computer Simulation 2020, 37(9):16-19,98.(in Chinese)
［19］袁绪龙, 张宇文, 殷崇一, 等. 无动力潜射导弹运载器出水弹道建模与实验验证［J］. 弹箭与制导学报, 2003, 24(增刊5): 187-189.
YUAN X L, ZHANG Y W, YIN C Y, et al. Water-exit trajectory modeling and experimental validation of unpowered sub launched missile carrier［J］. Journal of Projectiles,Rockets,Missiles and Guidance, 2003, 24(S5):187-189.（in Chinese）
［20］程载斌, 刘玉标, 刘兆, 等. 导弹水下潜射过程的流体-固体耦合仿真［J］. 兵工学报, 2008, 29(2):178-183.
CHENG Z B, LIU Y B, LIU Z, et al. FSI simulation on the vertical launching process of underwater missile［J］. Acta Armamentarii， 2008, 29(2):178-183.(in Chinese)
［21］刘传龙, 张宇文, 王亚东, 等. 考虑适配器弹性的潜射导弹出筒载荷特性研究［J］. 兵工学报, 2015, 36(2):379-384.
LIU C L, ZHANG Y W, WANG Y D, et al. Investigation into load characteristics of submarine-launched missile being ejected from launch tube considering the adapter elasticity［J］. Acta Armamentarii, 2015, 36(2):379-384.(in Chinese)
［22］裴譞, 张宇文, 袁绪龙, 等. 潜载导弹垂直发射横向振动特性仿真分析［J］. 兵工学报, 2009, 30(8):1056-1060.
PEI X, ZHANG Y W, YUAN X L, et al. Simulation and analysis on the lateral vibration characteristic of vertical launching for submarine-borne missile［J］, Acta Armamentarii, 2009, 30(8): 1056-1060.(in Chinese)
［23］尚书聪, 孙建中, 秦丽萍. 潜载导弹水下发射出筒横向动力学特性研究［J］. 振动与冲击, 2012, 31(23):82-86.
SHANG S C, SUN J Z, QIN L P. Lateral dynamic behavior of a underwater missile launched out its launch tube［J］. Journal of Vibration and Shock, 2012, 31(23):82-86.(in Chinese)
［24］ ESMAILZADEN E, GHORASHI M. Vibration analysis of beams traversed by uniformed partially distributed moving masses［J］. Journal of Sound and Vibration, 1995, 184(1): 9-17.
［25］ THAMBIRATNAM D, ZHUGE Y. Dynamics analysis of beams on an elastic foundation subjected to moving loads［J］. Journal of Sound and Vibration, 1996, 198(2):149-169.
［26］李海斌, 毕世华, 方远乔, 等. 移动刚体激励的梁振动分析和实验［J］. 北京理工大学学报, 1999, 19(1):18-22.
LI H B, BI S H, FANG Y Q, et al. Experiment research and vibration analysis of beams activated by moving rigid body［J］. Journal of Beijing Institute of Technology, 1999, 19(1):18-22.(in Chinese)
［27］ AMBROGI F, BRACCESI C, CIANETTI F. Simulation of moving parts on flexible bodies using multi-body approach. Test case on reinforced concrete highway bridge［C］∥Proceedings of the 15th ADAMS European User's Conference. Rome, Italy: MSC, 2000:285-395.
［28］王林鹏, 王汉平, 杨鸣, 等. 运动导弹激励下柔性导轨振动的多体动力学分析法［J］. 航空学报, 2014, 35(3):756-763.
WANG L P, WANG H P, YANG M, et al. Multi-body dynamics analysis method for vibration of flexible guide activated by moving missile［J］. Acta Aeronautica et Astronautica Sinica, 2014, 35(3): 756-763.(in Chinese)
［29］窦建中, 王汉平, 毕世华, 等. 导弹激励下柔性导轨振动的多体力学修正算法［J］. 弹箭与制导学报, 2017, 37(6):31-34, 39.
DOU J Z, WANG H P, BI S H, et al. Revised multi-body dynamics analysis method for vibration of flexible guides activated by moving missile［J］. Journal of Projectiles, Rockets, Missiles and Guidance, 2017, 37(6):31-34,39.(in Chinese)

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[9]	程载斌，刘玉标，刘兆，申仲翰. 导弹水下潜射过程的流体一固体耦合仿真[J]. 兵工学报, 2008, 29(2): 178-183.
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