基于诱导法曲率的齿轮成形磨削干涉分析

如何避免和降低干涉是提高齿轮成形磨削效率和精度的关键技术之一。基于微分几何理论和空间啮合原理,利用无瞬心包络法精确求解磨削一个齿槽的完整砂轮廓形;在对曲面啮合诱导法曲率理论研究基础上,通过计算砂轮曲面和齿轮螺旋面间接触线上任意点诱导发曲率值检验磨削干涉与否,并总结了诱导法曲率随安装参数变化规律和接触线附近干涉区域形成特点,为齿轮成形磨削提出一种如何验证、降低及避免干涉的方法;基于Matlab编写计算程序,以磨削无干涉为限制条件获得砂轮安装角和砂轮半径的取值范围。通过实例计算验证了不合理调整砂轮安装角或砂轮修形将导致磨削干涉,为实际磨削提供了安装参数的合理选取范围,具有实际指导意义。

Interference Study of Gear Form Grinding Based on Induced Normal Curvature

How to avoid and decrease interference is one of the key technology for improving efficiency and accuracy of gear form grinding. On the basis of differential geometry theory and the space mesh theory, grinding wheel profile of a cogging is solved by non-instantaneous section envelope machining principle. Induced normal curvature theory of meshing surface is studied, grinding interference is judged through computing induced normal curvature which is the point of contact line that between grinding wheel surface and gear surface, on the meanwhile, changing rules that induced normal curvature follow setting parameters and character of interference point emerged around contact line, finally, getting a set of integrated way to judge, avoid and decrease interference theory of gear form grinding;value range of setting parameter of grinding wheel is obtained under grinding without interference by program of Matlab software. The example’s analysis manifested that unreasonable adjusting grinding wheel setting parameter or dressing will lead to grinding interference, offering non-interference range of setting parameter for the actual grinding, from the deeper point, this avoiding grinding interference theory make a practical guiding significance for enhancing efficiency and accuracy of gear form grinding.