药柱的燃烧规律影响固体火箭发动机的内弹道计算。采用UGNX和Matlab软件对平底锥柱型药柱进行建模和编程,得到燃烧面积对燃去肉厚的导数与设计变量的函数关系图。结果表明,当环向槽圆弧相对半径r∈(0,0.1),圆柱段内孔相对半径R₂∈(0.09,0.3),环向槽圆弧圆心旋转相对半径R₃∈(R₂,0.44)时,药柱燃烧呈现先增面性后减面性。长径比为2.5时,更接近恒面燃烧。算例证明燃烧面积计算准确,燃烧规律与实际相符。

The burning law of the grain affects the interior ballistic calculation of the solid rocket motor. The UG NX and Matlab software are used to build the model and write the program for the flat-bottomed conic-column grain. The function diagram for the derivative of combustion area to the flesh-thick and design variables is obtained. The results show that when the relative radius of circular groove belongs to (0, 0.1), the relative radius of the hole in the cylindrical section belongs to (0.09, 0.3) and the relative radius of the circular center of the circular groove belongs to (R₂, 0.44), burning law is progressive at first and then regressive. When the aspect ratio is 2.5, the burning law tends to be constant. The example shows that the combustion area is calculated accurately and the burning law is the same as the actual situation.