2018
DOI: 10.1155/2018/6123596
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Analysis of Nonlinear Error Caused by Motions of Rotation Axes for Five-Axis Machine Tools with Orthogonal Configuration

Abstract: Since a nonlinear relationship exists between the position coordinates of the rotation axes and components of the tool orientation, the tool will deviate from the required plane, resulting in nonlinear errors and deterioration of machining accuracy. Few attempts have been made to obtain a general formula and common rules for nonlinear error because of the existence of various kinematic structures of machine tools with orthogonal configuration. This paper analyzes the relationship between the deviation of cutte… Show more

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Cited by 13 publications
(7 citation statements)
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“…Although five-axis CNC machines are more flexible in tool attitude changes, there is a nonlinear relationship between the position coordinates of the rotary axis and the tool attitude. This makes the actual machining trajectory deviate from the ideal linear machining trajectory, which results in unavoidable nonlinear errors [2] . For this reason, many researchers in related fields have conducted a lot of research on the reduction of nonlinear error, among which the most important methods to reduce nonlinear error are improved interpolation algorithms, linear encryption of cutter location points, cutter location correction method and real-time error compensation.…”
Section: Introductionmentioning
confidence: 99%
“…Although five-axis CNC machines are more flexible in tool attitude changes, there is a nonlinear relationship between the position coordinates of the rotary axis and the tool attitude. This makes the actual machining trajectory deviate from the ideal linear machining trajectory, which results in unavoidable nonlinear errors [2] . For this reason, many researchers in related fields have conducted a lot of research on the reduction of nonlinear error, among which the most important methods to reduce nonlinear error are improved interpolation algorithms, linear encryption of cutter location points, cutter location correction method and real-time error compensation.…”
Section: Introductionmentioning
confidence: 99%
“…Third, tool point position optimization method. This method reduces the nonlinear error by controlling the tool point trajectory [18][19][20][21][22]. Zhang et al [23] proposed the SSALI method to avoid tool positioning beyond the theoretical programming plane.…”
Section: Introductionmentioning
confidence: 99%
“…The relationship between the nonlinear error value and the angle of the rotating axis A and C are obtained according to the method used in Reference [22] to verify the correlation between the variation of the amplitude of the tool swing angle and the nonlinear error value as follows:…”
mentioning
confidence: 99%
“…They avoided the singular area by means of fixture redirecting workpiece. Geng et al [16] established a general calculation model for the nonlinear error of orthogonal machine tools and quantified the nonlinear error by the maximum deviation of the initial and final tool axis vectors relative to the reference plane. Geng et al [17] optimized the fractional velocity, fractional acceleration, and resultant velocity of each axis of the tool under the conditions of end and side milling based on the speed and acceleration constraints of each axis of the machine tool.…”
Section: Introductionmentioning
confidence: 99%