Product of exponential model for geometric error integration of multi-axis machine tools

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

“…The bed is set as the inertial reference frame and denoted as body B 0 , and the slide carriage (Y-axis) is denoted as body B 1 . According to the natural growth sequence, the bodies are sequentially numbered along the direction away from the body B 1 from one branch to the other branch [11]. Fig.…”

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

“…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.…”

Sensitivity analysis of machining accuracy of multi-axis machine tool based on POE screw theory and Morris method

“…On a basis similar to the method used for the error modelling of X-axis, Fu [13] introduced the motion screws clearly. Here, the error screws of Y-axis and Z-axis will not be listed in detail.…”

“…It is the common premise of precision design and error compensation [12] and can lay a foundation for the error compensation. Over the past several decades, research was focused on the error modeling of machine tools along with the modeling methods for geometric errors, especially the influence of geometric errors on threeaxis machine tools [13].…”