Characteristics of and measurement methods for geometric errors in CNC machine tools

A method to analyze the machining accuracy reliability sensitivity of machine tools based on Fast Markov Chain simulation

“…Furthermore, the various methods for modeling the geometric errors from different perspectives have experienced a gradual development [7]. To describe the error of the cutter location and the tool orientation between the two kinematic chains, the error model is normally established using homogeneous transformation sciENcE aNd tEchNology matrices (HTM) [10,18,20], denavit-hartenberg (D-H) method [16], modified denavit-hartenberg (MD-H) method [19], or multi-body system (MBS) theory [31,32]. Among these different approaches, MBS theory, first proposed by Houston, has evolved into the best method for the modeling of geometric errors of machine tools because it provides for a simple and convenient method to describe the topological structure of an MBS [21].…”

A geometric accuracy design method of multi-axis NC machine tool for improving machining accuracy reliability

“…In recent years, multi-body system (MBS) theory is used to generalize and provide a unique systematic approach for its advantages such as stylization, normalization, versatility, and ease for computer modeling [36]. There are many investigators have carried out error modeling research for complicated machinery system using MBS [41,23,44,39], mainly focus on designing and constructing a model to determine geometric error of machine tool and developing the key technique for compensation-identifying geometric error parameters. [43,17,4,7,22,2,11] introduce the methods of geometric error compensation, thermal error modeling, position error compensation, position-independent geometric errors modeling, volumetric error modeling and sensitivity analysis and establishing a product of exponential(POE) model for geometric error integration.…”

An approach of comprehensive error modeling and accuracy allocation for the improvement of reliability and optimization of cost of a multi-axis NC machine tool

“…In 1992, Chen et al addressed an approach for compensation of non-rigid body kinematic effect on a machining center [3]. In recent years, the multi-body system (MBS) theory is used to provide a unique systematic approach and many investigators have carried out error modeling research for complicated machinery system using MBS [26,48,51,53]. In 2002, Fan et al proposed the kinematics of MBS by adding movement error items and positioning error items and then developed a universal way of how to make a kinematics model of NC machine tools [14].…”