Abstract
Taking certain CNC camshaft grinder as the subject its motion error analysis and modeling were studied. The movement forms and types of errors between the moving parts were analysed, the movement between coordinate systems of the adjacent bodies was used to express the movement between the two adjacent bodies, and the ideal motion equation and actual motion equation in case of errors between the adjacent bodies were set up. Actual motion equation between adjacent bodies was made and further extended to analyse arbitrary low-order body arrays, which provides a theoretical basis for studying the multi-branch CNC camshaft grinding machine error modeling. Complex multi-branch chain CNC camshaft grinder simplified was made as a simple multibody system, and corresponding body coordinate systems and motion reference coordinate systems for moving parts were established to calculate the corresponding transformation matrix between adjacent bodies. Moving parts of the machine were divided into “workpieces-bed” and “wheel-bed” two kinematic chains. The precision constraint equation of the machine is Pt = Pw in case of using errors influence, and the constraint equation was solved. It provides necessary conditions for study of CNC camshaft grinder error compensation. Results show that the machine precision is significantly improved after error compensation.
Highlights
High machining precision is critically important and has increased demand in recent years in aerospace, military, ships, cars, and other industries [1,9]
The method of reducing the effect of error on the machining precision of machine tool can be divided into error prevention and error compensation
By establishing the error model of machine tools, identifying all errors of machine tools and reducing the influence of machine errors on machining accuracy by means of correcting NC instructions, which is called error compensation to reduce the effect of the error of machine tool on the machining precision of the workpiece
Summary
High machining precision is critically important and has increased demand in recent years in aerospace, military, ships, cars, and other industries [1,9]. Considerable research work for error compensation of multi-axis machine tools is devoted. Su[1] adopted the multi body system (MBS) theory for the precision modeling and error compensation of multi axis CNC machine tools. Wang[4]adopted polynomial fitting and linear fitting method to the geometric error and thermal error modeling of CNC machine tools and the on-line error compensation. According to ref.[5], the geometric error compensation and error traceability of CNC machine tools were analyzed. The theory of multi-body system can be used to reduce the difficulty of the error modeling of machine tool. The multi body system theory is seldom applied to the error modeling of machine tool. Paper uses the theory of multi-body system to establish model of follow-up type camshaft grinder geometry error
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