减小半球锥柱型药柱残药率的研究

为了减小半球锥柱型药柱的残药量,分别采用UG NX和MATLAB软件进行了建模和编程计算,得到了药柱燃烧规律和残药率与设计参数的函数关系图,进行了算例分析。计算结果表明,环向槽圆弧半径的取值越大,残药率越小,且残药率减少幅度增加；残药率与内孔半径呈现负相关关系；残药率与环向槽圆弧圆心旋转半径呈现近似抛物线关系,旋转半径值变大时,残药率先增大后减小；残药率与圆柱段长度呈现近似线性关系。计算结果与实际数据的最大相对误差为0.084%。 

Study on reduction of waste grain rate for semi-spherical conic-column grain

In order to reduce the waste grain of the semi-spherical conic-column grain, a model was built with the UG NX software and the calculations were programmed with the MATLAB software, the relations between the waste grain rate and the design parameters were obtained. The calculated results showed that the larger radius of circular groove meant the smaller waste grain rate and the decrease of waste grain rate. There was a negative correlation between the waste grain rate and the radius of the inner hole, the larger value meant the smaller waste grain rate. There was an approximate parabola relation between the waste grain rate and the radius of the circular center of the circular groove. When the value became big, the waste grain rate increased first and then decreased. The waste grain rate is approximately linear with the length of the cylinder, the larger value meant the higher residual rate. The maximum relative error between the calculated result and the actual data was 0.084%.