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Abstract With the improvement of machining accuracy In recent years, the problems associated with the errors of machine tools become very important for researchers. Especially, the way to compensate the volumetric error of the machine tool. To enhance a machine’s ability for a precision machining, an efficient error compensation method that takes the major sources of errors into account is needed. Each error source is studied carefully to know its effect on the volumetric error of the machine. A good machine design leads to minimize the volumetric error as much as possible. The present work introduces an error model for a three axis C C machining center, taking into consideration the geometrical errors that may occur between all machine parts. A mathematical model based on homogenous transformation translational and rotational matrices has been applied on three axis CNC machines. The volumetric error was determined using three types of errors; positional (linear), rotational and squareness. A detailed model will be covered here and results are presented. The present work also introduces a software capable of computing the machine volumetric error in the three axes and modifying the machine program with these error values. Results show the greatest effect for each error type; positional (linear), rotational and squareness error. Hence, these three errors should take more With the improvement of machining accuracy In recent years, the problems associated with the errors of machine tools become very important for researchers. Especially, the way to compensate the volumetric error of the machine tool. To enhance a machine’s ability for a precision machining, an efficient error compensation method that takes the major sources of errors into account is needed. Each error source is studied carefully to know its effect on the volumetric error of the machine. A good machine design leads to minimize the volumetric error as much as possible. The present work introduces an error model for a three axis C C machining center, taking into consideration the geometrical errors that may occur between all machine parts. A mathematical model based on homogenous transformation translational and rotational matrices has been applied on three axis CNC machines. The volumetric error was determined using three types of errors; positional (linear), rotational and squareness. A detailed model will be covered here and results are presented. The present work also introduces a software capable of computing the machine volumetric error in the three axes and modifying the machine program with these error values. Results show the greatest effect for each error type; positional (linear), rotational and squareness error. Hence, these three errors should take more |