多轴数控机床的通用运动学综合空间误差模型

提出了一种适用任意结构多轴数控机床的新通用运动学综合空间误差模型。该模型包含了由于制造、安装、运动控制不精确和刀具、床身、工件热变形以及其它因素引起的初始位置误差与运动误差 ,反应了机床误差的实际变化规律 ,对机床工作区误差适时全补偿特别有效。为了发展该新型误差模型 ,运用了多体系统运动学理论和齐次变换矩阵。最后 ,利用所述建模理论和方法 ,给出了 3轴立式数控机床的空间误差模型表达式 ,并分析了其 36种误差成分的变化规律

A Universal Synthetic Volumetric Error Model of Multi-axis NC Machine Tool Based on Kinematics

A novel methodology has been presented to build a synthetic volumetric error model of a multi axis NC machine tool of arbitrary configuration. The model includes original position errors and motion errors that account for geometric errors owing to manufacture, installation and motion control inaccuracy, thermal errors from thermal deformation of tool, machine and workpiece and mechanical loading errors etc. Thus it describes the error's facts of a machine tool and is useful to real time compensation of the overall errors within the machine's working volume specially. In order to develop the new model, multi axis kinematics and homogeneous transform matrices are utilized. Finally, based on the proposed modeling theory and method, the error model of a 3 axis NC vertical machine tool is introduced. In addition, its 36 error components are analyzed.