坡膛结构参数对枪械内弹道挤进时期的影响研究
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摘要
枪械射击过程中枪管坡膛处工作环境恶劣,为了研究枪管坡膛角度对挤进过程坡膛处受力的影响,建立了不同坡膛角下考虑枪管及弹头结构特性、本构非线性等因素的三维有限元模型,分析了不同坡膛角对弹头挤进过程的影响,获得了不同坡膛角下挤进阻力随挤进位移的变化数据;建立了挤进阻力的响应面模型,基于上述数据采用Hermite多项式,求解获得了挤进阻力以坡膛角和挤进位移为变量的计算公式;提出建立了考虑挤进阻力的弹头挤进过程的动力学模型,编程计算了枪弹挤进过程中的挤进压力,获得了某大口径机枪满足弹头初速条件的坡膛角度取值范围为0.11°~1.13°,进而得到了缓减枪管坡膛受力、保证弹头最高初速、满足坡膛角设计范围的坡膛角度最优解为0.56°。
The working condition of barrel forcing cone is worse during the firing process of small arms.To study the influence of the forcing cone angles on the stress of barrel forcing cone,the three-dimensional finite element models of barrel and projectile at different forcing cone angles are established,in which the structures of barrel and projectile,and nonlinear constitutive relations are considered. The effects of different forcing cone angles on the projectile engraving process are analyzed. The data of engraving resistance is obtained under the condition of different forcing cone angles. A response surface model of engraving resistance is established. The formula and the variation rules of projectile engraving resistance along with the forcing cone angle and engraving displacement are calculated based on the above data by using Hermite polynomial. A dynamic model of projectile engraving process is established in consideration of the engraving resistance. The engraving pressure during the projectile engraving process is solved by programming. The forcing cone angles among 0. 11° and 1. 13°,which satisfy the requirement of muzzlevelocity of the projectile,are obtained,and then the best forcing cone angle of 0. 56°,which could reduce the barrel stress to ensure the highest velocity and meet the design range of forcing cone angles in case of satisfying the interior ballistic behaviors,is got.
The working condition of barrel forcing cone is worse during the firing process of small arms.To study the influence of the forcing cone angles on the stress of barrel forcing cone,the three-dimensional finite element models of barrel and projectile at different forcing cone angles are established,in which the structures of barrel and projectile,and nonlinear constitutive relations are considered. The effects of different forcing cone angles on the projectile engraving process are analyzed. The data of engraving resistance is obtained under the condition of different forcing cone angles. A response surface model of engraving resistance is established. The formula and the variation rules of projectile engraving resistance along with the forcing cone angle and engraving displacement are calculated based on the above data by using Hermite polynomial. A dynamic model of projectile engraving process is established in consideration of the engraving resistance. The engraving pressure during the projectile engraving process is solved by programming. The forcing cone angles among 0. 11° and 1. 13°,which satisfy the requirement of muzzlevelocity of the projectile,are obtained,and then the best forcing cone angle of 0. 56°,which could reduce the barrel stress to ensure the highest velocity and meet the design range of forcing cone angles in case of satisfying the interior ballistic behaviors,is got.
引文
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[6]孙河洋,马吉胜,李伟,等.坡膛结构变化对火炮内弹道性能影响的研究[J].兵工学报,2012,33(6):669-675.SUN He-yang,MA Ji-sheng,LI Wei,et al.Study on influence of bore structure on gun's interior ballistic performances[J].Acta Armamentarii,2012,33(6):669-675.(in Chinese)
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[2]丘尔巴诺夫E B.挤进时期内弹道学与挤进压力计算[M].杨敬荣,译.北京:国防工业出版社,1997.Qierbarov E B.Interior ballistics and engraving force calculation during engraving of projectile[M].YANG Jing-rong,translated.Beijing:National Defense Industry Press,1997.(in Chinese)
[3]段吉员,王彦平.弹丸挤进压力对平衡炮内弹道性能的影响研究[J].高压物理学报,2006,20(2):189-193.DUAN Ji-Yuan,WANG Yan-ping,et al.The effect of engraving force of projectile on interior ballistic performance of DAVIS Gun[J].Chinese Journal of High Pressure Physics,2006,20(2):189-193.(in Chinese)
[4]Joseph T S,Dipak K,Michael M.Small caliber modeling from design to manufacture to launch[C]∥23th International Symposium on Ballistics.Tarragona,Spain:International Ballistics Committee,2007:557-564.
[5]樊黎霞,何湘玥.弹丸挤进过程的有限元模拟与分析[J].兵工学报,2011,32(8):963-969.FAN Li-xia,HE Xiang-yue.Finite element simulation and process analysis of projectile entering into barrel[J].Acta Armamentarii,2011,32(8):963-969.(in Chinese)
[6]孙河洋,马吉胜,李伟,等.坡膛结构变化对火炮内弹道性能影响的研究[J].兵工学报,2012,33(6):669-675.SUN He-yang,MA Ji-sheng,LI Wei,et al.Study on influence of bore structure on gun's interior ballistic performances[J].Acta Armamentarii,2012,33(6):669-675.(in Chinese)
[7]Johnson G,Cook W.Fracture characteristics of three metals subjected to various strains,strain rates,temperatures and pressures[J].Engineering Fracture Mechanics,1985,21:31-48.
[8]Basaga H B,Kaymaz I,Bayraktar A.An improved response surface method for reliability analysis of structures[J].Structural Engineering and Mechanics,2012,42(4):175-189.
[9]Isukapalli S S,Ray A.Stochastic response surface methods(SRSMs)for uncertainty propagation:application to environmental and biological systems[J].Risk Analysis,1998,18(3):351-363.