【摘要】 提出一种基于曲面修剪的直齿轮多轴铣削中铣刀与工件切触区域的计算方法 .首先，建立齿轮铣削运动学模型，以精确描述铣刀和工件之间的相对运动关系；其次，在构建精确的渐开线齿廓数学模型的基础上，采用等残余高度法进行刀具路径规划，并计算出各个刀位点坐标；随后，采用半球面近似刀具扫掠面，将切触区域定义为由3条边界曲线约束的局部球面区域，并利用边界曲线所在曲面对半球面进行修剪，以精确提取切触区域；最后，通过垂直于刀具轴线的平面与切触区域的求交运算计算出切触角度.切触区域仿真与铣削试验对比分析表明，该方法具有较高的计算精度；与文献所采用的实体法相比，该方法具有较高的计算效率.更多还原

【Abstract】 A cutter-workpiece engagement(CWE) calculation approach for multi-axis milling of spur gears based on surface trimming was proposed. Firstly, to accurately describe the relative motion relationship between the milling cutter and the workpiece, a gear milling motion model was established. Secondly, based on the established precise mathematical model of the involute gear tooth profile, the constant scallop-height method was applied for tool path planning, with precise calculation of the coordinate positions for each cutter location point. Thirdly, the cutter sweep surface was approximated using a hemispherical surface, and the CWE was defined as a partial sphere constrained by three boundary curves. The hemispherical surface was trimmed using the surface where the boundary curves are located to accurately extract the CWE. Finally, the engagement angles were calculated through an intersection operation between the CWE and a plane perpendicular to the tool axis. A comparative analysis of the simulated and experimentally measured CWE demonstrates the high computational accuracy of the proposed method.Furthermore, compared with solid modeling-based method adopted in the literature, this method has a higher computational efficiency.更多还原