In this work, the issue of uncertainty analysis of motion errors for mechanisms is studied. First, two definitions of motion errors, that is, maximum error and accumulative error, are introduced to measure the motion accuracy in a comprehensive way. Then, the method for performing an uncertainty analysis of the two errors is discussed. For the maximum error, an analysis of the failure probability and the corresponding sensitivity analysis are carried out. For the accumulative error, the variance-based sensitivity is studied to quantify the contributions of input variables to the mechanism performance. A Kriging-based method is proposed to reduce the computational cost of the uncertainty analysis of motion errors. Finally, four examples including the classical four-bar mechanism and the landing gear mechanism for aeronautical purposes are studied with the proposed method. Discussions on the results show that the uncertainty analysis of motion errors can provide helpful information for mechanisms.

在这项工作中，研究了机构运动误差的不确定性分析问题。首先，介绍了运动误差的两个定义，即最大误差和累积误差，以综合方式测量运动精度。然后，讨论了对两个误差进行不确定性分析的方法。对于最大误差，将进行故障概率分析和相应的灵敏度分析。对于累积误差，研究了基于方差的灵敏度以量化输入变量对机构性能的贡献。提出了一种基于克里格法的方法，以减少运动误差不确定性分析的计算成本。最后，提出的方法研究了四个示例，包括用于航空目的的经典四连杆机构和起落架机构。对结果的讨论表明，运动误差的不确定性分析可以为机构提供有用的信息。