The conventional volumetric error compensation for a machine tool is based on the machine's kinematic model, which formulates the tool center point (TCP) position based on the assumption of rigid-body motion of each axis. Particularly in large-sized machine tools, error motions that do not satisfy this assumption may have a significant impact on the machine's overall volumetric accuracy. In addition to position-dependent quasi-static error motions included in the conventional kinematic model, this paper proposes a scheme to assess quasi-static cross-talk between axes and direction- and velocity-dependent error motions. This paper proposes test procedures to measure two dimensional (2D) contour error trajectories by using a 2D digital scale (cross grid encoder). Unlike many previous works, this paper proposes to perform the tests at multiple positions over the machine tool's entire workspace, and the error motions are assessed by comparing contour error profiles. An experimental case study on a large-sized bridge-type vertical machine tool shows that such influences can be significant error contributors. The proposed tests can assess error motions only at discrete points where a 2D digital scale is installed. It can be applied as accuracy inspection to ‘‘roughly’’ assess the machine's volumetric accuracy by using a 2D digital scale only, but it is generally not for the compensation.

机床的常规体积误差补偿基于机床的运动学模型，该模型基于每个轴的刚体运动的假设来确定刀具中心点（TCP）的位置。特别是在大型机床中，不满足此假设的误差运动可能会对机床的整体体积精度产生重大影响。除了常规运动学模型中包括的与位置相关的准静态误差运动外，本文还提出了一种评估轴与方向和速度相关的误差运动之间的准静态串扰的方案。本文提出了使用2D数字标尺（跨网格编码器）测量二维（2D）轮廓误差轨迹的测试程序。不像以前的许多作品 本文建议在机床整个工作空间的多个位置进行测试，并通过比较轮廓误差轮廓来评估误差运动。在大型桥式立式机床上进行的实验案例研究表明，此类影响可能是造成严重误差的原因。建议的测试只能在安装了2D数字标尺的离散点上评估错误运动。它可以用作精度检查，仅通过使用2D数字秤“大致”评估机器的体积精度，但通常不用于补偿。在大型桥式立式机床上进行的实验案例研究表明，此类影响可能是造成严重误差的原因。建议的测试只能在安装了2D数字标尺的离散点上评估错误运动。它可以用作精度检查，仅通过使用2D数字秤“大致”评估机器的体积精度，但通常不用于补偿。在大型桥式立式机床上进行的实验案例研究表明，此类影响可能是造成重大误差的因素。建议的测试只能在安装了2D数字标尺的离散点上评估错误运动。它可以用作精度检查，仅通过使用2D数字秤“大致”评估机器的体积精度，但通常不用于补偿。