中文摘要：

超精密磨削技术是实现微/纳米加工的主要手段。系统深入研究超精密磨削过程的机理,洞悉磨削加工表面生成的内涵,成为超精密磨削加工技术的重要研究内容之一。提出一种新型的超精密磨削加工表面生成方法。基于Johnson变换和线性滤波技术,给出砂轮表面形貌数字生成方法。该砂轮表面数值生成方法克服了利用试验测量砂轮表面形貌所得数据而带来的误差,提高了磨削加工表面仿真分析的准确性。根据磨削运动学,建立磨粒运动轨迹方程、相互干涉条件和有效磨粒确定方法。据此,给出超精密磨削加工表面生成算法。通过数值计算生成不同统计学特征的砂轮形貌,并得到不同加工参数下磨削表面的表面形貌,仿真结果验证了所给算法的正确性和有效性。

英文摘要：

Ultra-precision grinding is an effective and main technique to conduct micro/nano machining.It is one of the significant research fields to investigate machining mechanism and know clearly the connotation of machined surface generation.A novel methodology of machined surface generation in ultra-precision grinding is presented.Based on Johnson tranformation method and linear filter technique,the digital generation method of surface topography of the grinding wheel is provided.This method overcomes the shortcomings of the experimental method to achieve the required topography of grinding wheel,thus improving the computational accuracy during the grinding surface generation.Based on the grinding kinematics,the motion track equation of the abrasive grain is established,and the methods to determine the mutual interference condition of the abrasive grains and the effective grains are also provided.Accordingly,the algorithm of machined surface generation during ultra-precision grinding is developed.Computational analyses are utilized to generate the wheel surface with different statistic characteristics,thereby obtaining the topographies of machined surfaces under different machining parameters.Simulation verify the accuracy and effectiveness of the given algorithm.