This paper focuses on optimization of kinematic chain to reduce force-induced error in the scheme design phase of a five-axis machine tool. After conducting process planning on the machining target, local deformation of motion units in cutting positions is considered using a geometric way. A mathematical model is then established describing the influence of local deformation error on the general machining error through homogeneous transformation matrices. Conceptual model of the machine tool is constructed to obtain deformation distribution using static FEA. Error sensitivity coefficients are then calculated and compared among all alternative kinematic chains to select the optimized scheme. The proposed method is verified through a designing example of a five-axis vertical machining center. The optimized kinematic chain could lower the magnitude of deformation sensitivities by 9.69% and increase error equalization variance by 71.25% compared to the conventional method.

本文重点研究运动链的优化，以减少五轴机床的方案设计阶段中的力致误差。在对加工目标进行工艺计划后，使用几何方法考虑切削位置中运动单元的局部变形。然后建立一个数学模型，该模型通过齐次变换矩阵描述局部变形误差对一般加工误差的影响。构建机床的概念模型以使用静态FEA获得变形分布。然后计算误差敏感性系数，并在所有替代运动链之间进行比较，以选择优化方案。通过五轴立式加工中心的设计实例验证了该方法的有效性。