基于线性规划的转管武器曲线槽优化设计
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摘要
为了对转管武器凸轮曲线槽进行优化设计,将凸轮曲线的速度函数、加速度函数和跃度函数作为目标函数进行无量纲化处理,利用线性加权法赋予无量纲目标函数相应的权重,构造评价函数,利用Matlab优化工具箱中用于线性规划的求解函数linprog,得到线性加权意义下的最优解;为了研究转管武器凸轮曲线槽加速度曲线的特点,分别对五次多项式加速度曲线和修正正弦加速度曲线优化设计,对比线性加权条件下的最优解,结果表明:修正正弦加速度曲线有较低的加速度,五次多项式加速度曲线跃度连续性较好,在机芯减速段,五次多项式加速度曲线的跃度最小。
In order to optimize the design of the cam curve groove of Gatling gun,the velocity function,the acceleration function and the jerk function of the cam curve were used as the objective function for dimensionless processing,and the linear weighting method was used to assign the dimensionless objective function. Corresponding weights were used to construct the evaluation function. Finally,using the solution function linprog for linear programming in the matlab optimization toolbox,the optimal solution in the sense of linear weighted sum was obtained. At the same time,in order to study the characteristics of the cam curve curve acceleration curve of Gatling gun,the fifth-order polynomial acceleration curve and the modified sinusoidal acceleration curve were optimized respectively,and the optimal solution under the linear weighted condition was compared. The modified sinusoidal acceleration curve was considered to be lower. The acceleration of the fifth-order polynomial acceleration curve had good continuity,in the movement deceleration section,the fifth-order polynomial acceleration curve had the least jerk.
In order to optimize the design of the cam curve groove of Gatling gun,the velocity function,the acceleration function and the jerk function of the cam curve were used as the objective function for dimensionless processing,and the linear weighting method was used to assign the dimensionless objective function. Corresponding weights were used to construct the evaluation function. Finally,using the solution function linprog for linear programming in the matlab optimization toolbox,the optimal solution in the sense of linear weighted sum was obtained. At the same time,in order to study the characteristics of the cam curve curve acceleration curve of Gatling gun,the fifth-order polynomial acceleration curve and the modified sinusoidal acceleration curve were optimized respectively,and the optimal solution under the linear weighted condition was compared. The modified sinusoidal acceleration curve was considered to be lower. The acceleration of the fifth-order polynomial acceleration curve had good continuity,in the movement deceleration section,the fifth-order polynomial acceleration curve had the least jerk.
引文
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[3]徐健,薄玉成,常学芳.超高射速转管炮新型低功耗凸轮曲线设计[J].弹道学报,2009,21(2):70-73.
[4]曹渊,邱志明,崔东华,等.转管炮身管组内倾角对炮口扰动的影响分析[J].兵器装备工程学报,2018,39(1):1-5.
[5]徐伟.凸轮CAD/CAM系统的研究与开发[D].长沙:中南大学,2004.
[6]张岩,吴水根. Matlab优化算法[M].北京:清华大学出版社,2017.
[7]何雪明,何楷,武美萍,等.基于冲击模型的含间隙高速凸轮机构动力学分析[J].食品与机械,2017,33(9):84-89,93.
[8]张志明.凸轮升降台的设计制造及结构分析[D].烟台:烟台大学,2016.
[9]李丽,王振领. MATLAB工程计算及应用[M].北京:人民邮电出版社,2004.
[10]陈立伟.基于圆柱凸轮机构的模块化航天器接口研究[D].大连:大连海事大学,2017.