Extraction of key geometric errors of a precision cylindrical grinder based on improved Sobol method

In order to enhance the precision of metal rolling production, it is necessary to ensure the grinding accuracy of the cylindrical grinder. Since geometric errors constitute the primary factor that causes machine inaccuracies, the sensitivity analysis is carried out to extract the key geometric errors. The volumetric model of the grinder with 29 geometric errors is constructed by applying the homogeneous transfer matrix (HTM) and multi-body system (MBS) theory. This paper presents an improved Sobol method based on quasi-random set for performing the global sensitivity analysis (GSA). A simulation of error compensation is conducted to verify the analysis results. The key geometric errors extracted will serve as important guides for future error compensation.