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弹丸膛内运动引起炮管振动的小参数解法 被引量:21

SOLUTION OF BARREL VIBRATION CAUSED BY MOTION OF BULLETS IN BORE BY USE OF SMALL PARAMETER METHOD
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摘要 本文研究弹丸膛内运动引起的炮管横向振动问题,模型中同时计入了弹丸重力及炮管的静挠度和动挠度对炮管振动的影响。以弹丸与炮管的质量比作为小参数,用摄动法求得了单发射击时炮管振动整个过程的一般解。并利用叠加原理,将单发射击的分析结果进一步推广到连发射击的情况,从而建立了完整的弹丸膛内运动引起的炮管振动理论和分析方法。 The problem of transversal vibration of barrel caused by motion of bullets in bore is studied. The influences of the bullet′s gravity and the static flexibility and dynamic flexibility of barrel on barrel′s vibration are considered simultaneously. By taking the ratio of the mass of bullet and the mass of barrel as the small parameter, the general solution of the total dynamic process of vibration of barrel caused by motion of bullet in bore at single shot is given by use of perturbation method. By using the superposition principle, the results of single shot are expanded to the case of running burst. So, the complete theory and analytical method of vibration of barrel caused by motion of bullets in bore is well established.
作者 周叮 谢玉树
机构地区 南京理工大学
出处 《振动与冲击》 EI CSCD 1999年第1期76-81,共6页 Journal of Vibration and Shock
关键词 炮管振动 弹丸运动 射击精度 小参数 摄动法 barrel vibration, motion of bullet, shooting accuracy, small parameter perturbation
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