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基于公差约束的复杂曲面宽行加工方法 被引量:5

An Approach to Strip-maximization Machining Based on Tolerance Constraints for Sculptured Surfaces
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摘要 为了提高复杂曲面环形刀加工的加工效率,结合设计公差带,对复杂曲面的宽行加工算法进行研究。借用二阶泰勒逼近方法计算整条切削轨迹的切削带宽,根据设定的切削带宽比率阈值对其进行切削带宽可调整性评估;针对符合可调整性的切削轨迹,分析影响切削带宽的切触点,在公差约束范围内,将实际切触点沿其所在位置曲面法矢反方向平移一段合适的距离,从而反算出最优的切削带宽。通过分析切触点变化后曲面性质对切削带宽的影响,说明了公差约束思想在宽行加工算法中具有通用性。算例表明,与二阶泰勒逼近算法相比,该方法能大幅度地提高切削带宽,提高量可达到原切削带宽的26.5%,同时,切触点轨迹长度缩短了22.7%;仿真结果验证了该方法在复杂曲面环形刀宽行加工中的有效性。 To improve the efficiency of complex surfaces machining with toroidal tools, an approach about the tool path planning of strip-maximization machining is proposed by combining with the design tolerance zone. According to second-order Taylor approximation method, the strip width within the entire tool path is calculated, and then its adjustability is assessed based on the predefined strip-width-ratio threshold. For these adjustable tool path, the cutting contact points(CCPs) which decrease the strip width are analyzed. Each point of them is transformed into another actual CCP with a reasonable translation distance along the normal vector on the corresponding surface, where the value is in the constraints of tolerance zone. Thus the optimal strip-width is obtained. The influence analysis of strip-width from surface characteristic indicates that the theory based on the tolerance constraints is versatile. Example shows that the strip-width calculated by the proposed method is significantly expanded by 26.5%, comparing to second-order Taylor approximation method. Meanwhile, the length of the CCPs path is shortened by 22.7%. Therefore, the simulation result verifies the effectiveness in the complex surface machining with toroidal cutters.
出处 《机械工程学报》 EI CAS CSCD 北大核心 2013年第3期130-136,共7页 Journal of Mechanical Engineering
基金 国家重点基础研究发展计划(973计划 2013CB035802) 西北工业大学科技创新基金资助项目
关键词 复杂曲面 宽行加工 公差约束 环形刀 二阶泰勒逼近算法 Sculpture surface Strip-maximization machining Tolerance constraints Toroidal tool Second-order Taylor approximation method
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