Simulation of Interior Trajectory Terminal for Mine Based on Second Lagrange Formulation
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摘要: 内末弹道是内弹道向中间弹道的过渡阶段,其运动参数关系到发射平台发射水雷的安全性。水雷经内弹道的高压气做功获得一定的出管速度后,在内末弹道阶段其仅在惯性的作用下继续运动,且其运动状态受到潜艇鱼雷发射管的约束。通过对水雷在内末弹道的运动受力分析,利用第二类拉格朗日方程建立内末弹道动力学模型,并在确定方程右端的广义力时加入了流体动力,给出了内末弹道参量与水雷出管速度的关系曲线图, 仿真结果表明, 适当增加水雷的出管速度可提高发射平台发射水雷的安全性。Abstract: Interior trajectory terminal is a transition from interior trajectory to middle trajectory, and it′s parameter is important to the safety of mine launching via platform. A mine obtains its muzzle velocity through the work of high pressure gas in interior trajectory, and keeps moving forward only with inertia in interior trajectory terminal stage with the restriction from submarine torpedo tube. Based on the force analysis of mine motion in interior trajectory terminal, a dynamic model of interior trajectory terminal is established by using the second Lagrange formulation. A hydrodynamic force is added to determine the generalized force in the right side of the formulation. Some figures of interior trajectory terminal parameter versus initial velocity of mine are achieved. Simulation result shows that appropriate increase of initial speed of mine can improve the safety of mine launching via platform.
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Key words:
- mine /
- second Lagrange formulation /
- interior trajectory terminal /
- hydrodynamic /
- muzzle velocity
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[1] 肖尚彬,董秋泉.高等动力学[M].西安:西北工业大学出版社,1986. [2] 梅凤翔,刘桂林.分析力学基础[M].西安:西安交通大学出版社,1987. [3] Mathews J H.Numerical Methods Using MATLAB Fourth Edition[M].2005. [4] 王正林,刘明.精通MATLAB7[M].北京:电子工业出版社,2006. [5] 张宇文,詹志祥.鱼雷发射弹道计算及安全性分析[R].西安:西北工业大学,1989.
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