用单纯形法优化盆状砂轮的几何参数

Geometrical Parameters Optimization of Basin-Like Grinding Wheel with a Simplex Method

指状砂轮磨削双偏置式球笼等速万向节的钟形壳椭圆沟道的理论误差大约在0.004mm左右,为减少理论误差,提出了一种用来磨削等速万向节椭圆沟道的盆状砂轮。避免了指状砂轮头部的干涉,其参数优化的有效性和精确性得到了提高,能最大限度地保证加工截面的形状和精度。建立了盆状砂轮加工的数学模型,采用单纯形法对盆状砂轮的参数进行了优化,对其加工原理进行了详细的理论研究,并对加工误差进行了分析。仿真结果表明,用盆状砂轮磨削的椭圆沟道的理论误差可以减少到0.631mm。

The theoretical error of outer race elliptic track of plunging constant velocity joint ground by finger-like grinding wheel is about 0.004mm. In order to decrease the error, a new grinding method with basin-like grinding wheel is proposed herein. When the design parameters are optimized, the basin-like grinding wheel will avoid the problems that the feasibility and grinding accuracy are restricted by the interference of the head in the grinding process by means of finger-like grinding wheel, and can be used to ensure the machining precision and the sectional shape of the raceway to the greatest extent. Aiming at the grinding process with basin-like grinding wheel, the paper establishes the mathematical model, optimizes the parameters by means of simplex algorithm, studies the processing principle in detail, and analyzes the machining errors. The simulation results indicate that the theoretical error of elliptical groove ground by basin-like grinding wheel will be reduced to 0.631μm