CAJ | 학술논문

针对圆锥刀侧铣加工非可展直纹面中复杂的刀轴轨迹规划问题，提出一种直观简便的刀轴轨迹生成方法。利用圆锥面的性质，给出法向映射曲线的定义即刀具轴线上诸点在设计曲面上的法向投影点的集合，将刀具包络面向设计曲面的逼近问题转化为每个刀位下法向映射曲线与特征线的最小二乘逼近问题，并给出刀具包络面尚未形成时单刀位下理想特征线的生成方法。用两点偏置法生成初始刀位，以此为基准，利用刚体运动学方法将刀轴位姿描述为3个回转与3个平移运动参数的函数，从而建立单刀位优化条件与6个运动参数的非显性的函数关系。采用拉丁超立方的试验设计方法求解，分析并优选计算过程中的影响因素，得到最优刀位，进而获得优化后的刀轴轨迹面。实例计算可知，刀轴优化后的包络误差显著降低，并且计算结果稳定。该方法可为非可展直纹面的圆锥刀侧铣加工提供一定的理论依据。
침대원추도측선가공비가전직문면중복잡적도축궤적규화문제，제출일충직관간편적도축궤적생성방법。이용원추면적성질，급출법향영사곡선적정의즉도구축선상제점재설계곡면상적법향투영점적집합，장도구포락면향설계곡면적핍근문제전화위매개도위하법향영사곡선여특정선적최소이승핍근문제，병급출도구포락면상미형성시단도위하이상특정선적생성방법。용량점편치법생성초시도위，이차위기준，이용강체운동학방법장도축위자묘술위3개회전여3개평이운동삼수적함수，종이건립단도위우화조건여6개운동삼수적비현성적함수관계。채용랍정초립방적시험설계방법구해，분석병우선계산과정중적영향인소，득도최우도위，진이획득우화후적도축궤적면。실례계산가지，도축우화후적포락오차현저강저，병차계산결과은정。해방법가위비가전직문면적원추도측선가공제공일정적이론의거。
Aiming to the problem of complex tool axis trajectory planning for flank milling non-developable ruled surface with conical milling tools, an intuitive and simple tool axis trajectory generation method is presented. According to the properties of conical surface, the normal mapping curve is defined, i.e. the set of points which are the normal projection of all points of tool axis on the design curved surface, so that the problem of tool envelope surface approximating to design surface, is convert into the least squares approximation problem of normal mapping curve to characteristic curve for every tool position, and the generation method of ideal feature line of single tool position before the formation of tool envelope surface is given. Using the two-offsetting method the initial tool position is generated. Then based on this, the tool axis pose can be described by a function of three rotational and three translational motion parameters, consequently, a non-dominant function between single tool position optimization condition and six motion parameters is built. In the solving process, the experimental design method of Latin hypercube is used, and through analyzing and optimizing the influence factors of calculation, the optimal tool position is obtained, and then the optimized tool axis trajectory surface is obtained. The actual example calculation showed that the envelope error of optimized tool axis is reduced significantly, and the calculation results are stable. This method provides the theoretical basis for flank milling non-developable ruled surface with conical tools.