Charge design methods affect the ballistic performance of the engine.In order to improve the charge utilization rate,UG NX and MATLAB software were used for modeling and programming of the calculation,and the function relationship diagram of the combustion surface,the residual drug rate and the design parameters during the combustion process of the drug column was obtained,and finally the example analysis was carried out.The results showed that when D was defined as the outer diameter of grain,and the relative radius of circular groove r was(0,0.05D),the relative radius of the hole in the cylindrical section R2 was(0.1D,0.4D),the relative radius of the circular center of the circular groove R3 was(R2,0.42D)and the length of the cylinder L2 was(0.4D,1.53D),the combustion law was progressive at first and then regressive.The waste grain rate and the change trend of r and R2 monotonically decreased,the waste grain rate and the change trend of L2 monotonically increased,and the waste grain rate and the change trend of R3 first increased and then decreased.From the aspects of weight reduction,improvement of the strength,processing and manufacturing,it is recommended to give priority to the dished head.The maximum relative error between the calculated result and the actual data was 0.078%.
dished head conic-column grainwaste grain rateburninglawsolid rocket motorwall thickness