基于减小初始扰动的弹管间隙优化设计方法

An optimum design method for clearances between rockets and launching tubes based on minimizing initial disturbances

针对火箭/发射装置系统,用牛顿-欧拉法建立了火箭和发射管的动力学方程组,基于MATLAB平台编写了方程组求解程序,在此基础上分析了弹管间隙对火箭初始扰动的影响,并利用二次回归模型求出了弹管间隙的最优解。计算结果表明,初始扰动角和角速度是弹管间隙的二次函数,而最优弹管间隙为该二次函数构成的齐次方程的解。该方法能为火箭发射系统的设计提供参考。

Aiming at rocket/ launcher systems,the dynamic equations for rocket and launching tube were constructed by using Newton-Euler method.A program for solving these equations was compiled based on MATLAB.Then influence of clearances between rockets and launching tubes on initial disturbances of rockets was analyzed.The optimal solution of clearances between rockets and launching tubes was obtained by using quadratic regression model.The calculation results show that initial disturbances and angle velocity were quadratic function of clearances between rockets and launching tubes.The optimum value of clearances was the solution of the homogeneous equation formed by the quadratic function.This method can provide reference for design of rocket/launcher systems.