五轴数控系统旋转运动学通用建模及处理方法  

Generalized Kinematics Model and Method of Five-axis NC Machine Tools

作　　者：段舒文 林浒 郑飂默[2] 孙树杰[1,2] 

机构地区：[1]中国科学院研究生院,北京100039 [2]中国科学院沈阳计算技术研究所,沈阳110168

出　　处：《组合机床与自动化加工技术》2014年第8期53-55,共3页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：国家重点基础研究发展计划:数学机械化方法及其在数字化设计制造中的应用(973项目;2011CB302400-G)

摘　　要：针对五轴数控机床种类繁多、运动学构成复杂、运动学模型求解不便的问题,分析了三大类五轴数控机床旋转运动特征,结合运动学原理,建立其各自的运动学模型,进而抽象出五轴数控机床旋转运动的通用模型。基于旋转矩阵的正交特性,对通用模型进行变换,最后使用Gauss消元法来求解模型。对于多解的情况,给出一种选择最优解的策略。最后通过仿真验证了处理方法的可行性和高效性。There are kinds of five-axis NC machines to meet different processing demands and motion conversion of machine coordinate is different. After analyzing the machine motion coordinates,we build three models for three kinds of machines. We get a general rotational model for five-axis machine from the three models. For the rotation matrix is an orthogonal matrix,we can solve the equation with Gaussian Elimination after a property transformation. There is also a strategy to find the best solution when the equation has multiple solutions. The validity and usefulness of the algorithm are confirmed by the simulation analysis.

关 键 词：运动变换 通用模型 正交矩阵 高斯消元法 

分 类 号：TH166[机械工程—机械制造及自动化] TG659[金属学及工艺—金属切削加工及机床]