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针对内斜齿轮数控成形磨削中较难解决的磨削干涉问题,研究了内斜齿轮成形磨削的砂轮修形方法.在建立内斜齿轮成形磨削数学模型的基础上,用截圆法得到磨削内斜齿轮时砂轮与齿槽接触点所满足的条件方程组,通过牛顿迭代法解此方程组求出砂轮廓形.用数值法模拟出所求砂轮的实际磨削齿形并与理论渐开线齿形作比较,以检验磨削是否干涉及砂轮半径和安装角的选取是否正确.基于Visual C++6.0编制内斜齿轮砂轮修形及误差分析软件,通过仿真正确选择砂轮安装角、砂轮半径,并输出数控砂轮修整程序.最后通过磨削和检测实例,验证了理论的正确性和软件的可行性.
In order to solve the problem of grinding interference which is difficult to be solved in NC grinding of internal helical gears, the grinding wheel grinding method of internal helical gear grinding is studied.Based on the mathematical model of internal helical gear grinding, The condition equations satisfied by the contact point between the grinding wheel and the tooth groove when grinding the inner helical gear are obtained and the profile of the grinding wheel is obtained by solving the system by Newton’s iterative method.The actual grinding tooth shape of the grinding wheel obtained by numerical simulation is simulated and compared with the theoretical Involute tooth shape for comparison to test whether the grinding interference and wheel radius and the selection of the installation angle is correct based on Visual C + +6.0 preparation of helical gear grinding and error analysis software, the correct choice by simulation wheel mounting angle , The radius of the grinding wheel, and output CNC grinding wheel dressing program.Finally, through the examples of grinding and testing, the correctness of the theory and the feasibility of the software are verified.