多面形非圆型面设计方法及数控加工原理研究

Designing method and numerical control machining principlefor arbitrary n-polygon non-circular section

通过分析多面形非圆型面的结构特征,建立了各特征参数之间的关系式,采用数学归纳法导出了任意n面形非圆型面的设计定理.提出一种机构传动原理建模方法,建立了任意n面形非圆型面的数控磨削加工控制定理及多坐标联动控制模型.同时提出一种随型面曲率变化保持磨削表面速度均匀的进给速度自调整方法.利用上述方法研制了一种多面形非圆型面数控磨床,对该磨床加工的多面形非圆零件进行测试,结果表明,其型面形状与设计图纸要求一致,粗糙度值小于0.32μm,尺寸精度在8μm以内.提出的设计方法和控制原理可以成功用于指导多面形非圆型面联接的设计和制造.

Through analyzing the structure characteristics of arbitrary n-polygon non-circular sections, the mathematical formulas among the characteristic parameters were set up, and the theorem for designing this kind of sections was deduced by mathematical induction method. Based on mechanism transmission principle, the control theorem for the numerical control (NC) grinding of arbitrary w-polygon non-circular sections and the control model for the multi-coordinate motion were built. A feedrate self-adjusting method was proposed to uniform the grinding speed with the changes of sectional curvature. Then a NC machine tool for grinding w-polygon non-circular sections was developed. The test results of the ground parts showed that the section profiles accorded to the design demands; that the roughness was less than 0.32 μm and the dimensional accuracy was within 8 μm. The results prove that the proposed theorems and method can effectively direct the design and manufacture of the polygonal non-circular connection.