关键词: 运动参数优化, 面齿轮, 拓扑修形, 碟形砂轮, CNC机床

Abstract: To obtain each axis motion of a multi-axis CNC machine for grinding double crowned topological tooth geometry of face gear,a novel methodology of optimum solution for multi-axis motions was proposed by grinding disc wheel application.A theoretical model of face gear grinding with disc grinding wheel was built based on meshing theory.According to the kinematical relations of CNC machine's each axis in the grinding process,a mathematical model of actual tooth flank was established and the initial motion of each axis was obtained.Each axis motion of CNC machine was formulated by six order polynomial function approximately,and an optimization process with the objective function of  tooth flank form errors minimization between actual and target tooth flanks was established.By using least squares techniques,the polynomial coefficients of multi-axis motion functions were obtained precisely.The optimization simulation and actual grinding of topological tooth flanks for face gear were developed,and the result showed that the high precision actual tooth gear could be yield by application of optimization method.

Key words: motions optimization, face gear, topological modification, disc grinding wheel, CNC machine