任意结构多轴数控机床后置处理的全微分求解算法  

Post-processing Algorithm Based on Total Differential Method for Multi-axis Machine Tools with Arbitrary Configuration

作　　者：彭芳瑜[1] 马吉阳[2] 王力[2] 闫蓉[2] 李斌[1] 

机构地区：[1]华中科技大学数字制造装备与技术国家重点实验室,武汉430074 [2]华中科技大学国家数控系统工程技术研究中心,武汉430074

出　　处：《机械工程学报》2012年第13期121-126,共6页Journal of Mechanical Engineering

基　　金：国家自然科学基金(51075168);教育部新世纪优秀人才支持计划(NCET-08-0231);国家重点基础研究发展计划(973计划;2011CB706803)资助项目

摘　　要：针对目前多轴数控机床后置求解算法主要是面向某一结构机床的特点,提出适用于任意结构多轴数控机床的通用后置求解方法。根据多体运动学理论建立任意结构多轴数控机床通用运动学模型,通过使用全微分形式描述相邻刀位点空间关系,使复杂的运动学逆向求解转化为求解以各轴运动坐标增量为变量的线性方程组求解问题,求解快速精确。初始各轴运动坐标的求解采用数值方法和全微分法相结合的方法,确保后续点的求解精度。对特定结构的多轴数控机床采用全微分法、公式推导法和数值计算法进行后置求解,对比各算法的结果表明这种全微分后置求解方法具有通用性,算法精度很高,求解速度快。Due to existing post-processing algorithm, which is only suitable for a specific type of multi-axis NC machine tool, a generalized method that fits arbitrary configuration is presented. It derives a general kinematic model from multi-body kinematics, and describes the spatial relationship between adjacent CL-data as total differential. The complicated reverse kinematics problem is transformed into solving linear equations. The initial machine control data is solved with the combination of numerical method and total differential method to ensure solving accuracy of subsequent CL-data. In comparison with conventional methods, experiments on a specific machine tool show that the total differential method has attributes of being better generalized, more accurate, and with faster computing speed.

关 键 词：全微分 任意结构 多轴机床 通用后置 

分 类 号：TH161[机械工程—机械制造及自动化]