92 results about "Geometric error" patented technology

The invention discloses a multi-dimensional real-time coupling error compensation method for a five-axis numerical control machine tool. The method comprises the following steps: (1) acquiring geometric error, thermal error, dynamic error and coupling error data of the five-axis machine tool in real time by utilizing a sensor network arranged on key parts of the machine tool; (2) by constructing a five-axis linkage nonlinear error compensation model, performing traceability analysis on errors generated in the machining process by adopting a reverse error propagation algorithm, and dynamically optimizing the compensation amount according to error sources; (3) establishing a causal relationship and a probability distribution model of each error source based on a Bayesian network, updating joint distribution of the error sources by using real-time sensor data, predicting a comprehensive error through Bayesian reasoning, and adjusting motion parameters of each axis; through the real-time, multi-dimensional and intelligent error compensation technology, the machining precision, efficiency and adaptability of the five-axis numerical control machine tool are remarkably improved, the production cost is reduced, the product quality is improved, and the five-axis numerical control machine tool has higher competitiveness in the complex and high-end manufacturing field.

The invention discloses an optical performance-oriented key geometric error identification method for a large aspheric element multi-axis numerical control machine tool. According to the method, a tool setting point is used as a key node to establish a surface shape error model, geometric errors and surface shape errors of a machine tool are accurately associated, multi-error coupling analysis is simplified, and targeted compensation, online monitoring and real-time correction are achieved. On the basis, a machine tool space error model is constructed in combination with a multi-body system theory, a mapping relation between a surface shape error and wavefront aberration is established by utilizing a ray tracing theory, the wavefront aberration is fitted through a Zernike polynomial, and the contribution degree of each geometric error to the aberration is quantified by means of principal component analysis, so that a key geometric error is identified and compensation is implemented. According to the method, the machining error and the final optical performance are directly associated, and the machining precision and the performance quality of the large aspheric element can be improved. The method is suitable for the manufacturing field of large complex optical elements machined by a multi-axis numerical control machine tool.

A quality prediction and adaptive compensation method and apparatus for curved surface assembly are provided. The method includes: inputting a geometric error function and a thermal error function into a spatial error model, to obtain a machining error prediction model; superimposing obtained machining errors on a theoretical surface of an assembly surface, to obtain a predicted machining surface; calculating, according to an assembly median plane determined based on the assembly surface, shape errors and assembly gap errors, and predicting curved surface assembly quality of a part by using the shape errors and the assembly gap errors; calculating an adaptive compensation amount of each assembly plane of the assembly surface based on the shape errors, the assembly gap errors, and the machining errors, when the curved surface assembly quality does not meet a preset assembly quality requirement, and compensating the corresponding assembly plane by using the adaptive compensation amount.

The invention discloses a face gear worm grinding machine error compensation method based on sensitivity analysis and a multi-source error mapping model, which comprises the following steps of: 1, constructing a multi-source error-tooth surface error mapping model based on a vector decomposition and truncation function method, the truncation function method is used for quantitatively describing propagation mechanisms of geometric errors and thermal errors in a machining chain and influences of the propagation mechanisms on tooth surface deviation, and high-order error terms are eliminated to improve calculation efficiency; 2, responding to the output of the mapping model, applying an improved Morris sensitivity analysis method, distributing a weighting coefficient higher than a geometric error component for a thermal error component, and calculating a weighting sensitivity coefficient so as to identify a key error component which has the greatest influence on the tooth surface precision; and 3, based on the key error component, a motion axis compensation value is generated through an error compensation model, and the compensation value is input into a machine tool control system to adjust the relative position of the worm grinding wheel and the workpiece, so that the tooth surface error is reduced.

The invention relates to an improved rotating shaft position-independent geometric error identification method based on a ball bar, which is applied to a five-axis machine tool and comprises the following steps of: setting an original point of a machine tool coordinate system at an intersection point OM of an A-axis axis and a C-axis axis in an ideal state, and overlapping the original point of the A-axis coordinate system with the original point of the machine tool coordinate system, the original point of a workpiece coordinate system is arranged at the center OW of a rotary table of a workbench, the original point of a C-axis coordinate system coincides with the original point of the workpiece coordinate system, and the vertical height between OM and OW is ZCA; respectively establishing PIGEs error matrixes of the A axis and the C axis based on a spinor theory; a rotating shaft position irrelevant geometric error model and a ball rod length model are established by adopting a spinor theory, and a measured shaft is controlled by using a single-shaft control method to complete measurement in a preset mode. According to the method, identification of eight PIGEs of the rotating shaft can be completed only by installing the ball bar for two times, in the aspect of simplicity and convenience, the installation frequency is reduced, and operation is simpler and more convenient; in the aspect of identification accuracy, introduction of additional errors is reduced, and identification precision is improved.

The invention discloses a geometric error identification and compensation system and method for a numerical control machine tool, and belongs to the technical field of numerical control machine tools, and the method comprises the steps: collecting the position, temperature and cutting force data of the machine tool in real time, and calculating the components of a position error, a thermally induced equivalent error and a force induced equivalent error to construct a multi-dimensional state vector; according to the method, a compensation value is calculated through a dynamic compensation model, the core of the method is that a dynamic modulation factor is introduced, the factor integrates the heat effect, the force effect and the multi-axis coupling effect to dynamically adjust the compensation weight, in addition, a grading trigger compensation strategy based on comprehensive error amplitude evaluation is designed, and the compensation accuracy is improved. The reconstruction compensation can update model parameters on line to cope with long-term changes of the system, intelligent distribution of compensation resources and self-adaptive adjustment of system changes are achieved, time-varying errors are effectively restrained, and precision, efficiency and robustness are taken into consideration.

The invention discloses a spiral bevel gear tooth surface error compensation method considering machine tool geometric errors, which relates to the technical field of machining, and comprises the following steps: step 1, establishing an initial machine tool space error model, establishing a tooth surface equation, and establishing a tooth surface error model; establishing a mapping relation from a geometric error to a tooth surface error according to the initial space error model and the tooth surface equation; 2, compensating the tool pose error based on a Jacobian matrix method, and calculating a tooth surface error after compensating the tool pose error; and 3, calculating a compensation value based on a particle swarm algorithm, compensating the tooth surface error obtained in the step 2, and outputting the compensated tooth surface. The compensation efficiency and accuracy during machining of the spiral bevel gear machine tool can be improved.

The invention relates to a geometric error measuring method for a machine tool rotating shaft, standard balls are mounted on a rotating shaft workbench of a machine tool, a probe is mounted on a machine tool spindle, and the method comprises the following steps: rotating the rotating shaft workbench to obtain sphere center coordinates of a plurality of groups of standard balls; selecting the center coordinates of one group of standard balls, and calculating an optimal fitting plane; according to the optimal fitting plane and the center coordinates of the other groups of standard balls, position-independent errors are obtained; constructing a transformation matrix, and obtaining a coordinate system after the position-independent error is eliminated; obtaining a matrix equation by combining the center coordinates of the plurality of groups of standard balls, the transformation matrix and the coordinate system; and solving the matrix equation to obtain a position correlation error. The measuring method is based on a numerical control machine tool rotating shaft geometric error model, influences of position-independent errors on the center position of a standard ball at the initial position are considered, four position-independent errors and six position-related errors of the rotating shaft are obtained through step-by-step calculation, and comprehensive measurement of ten errors of the rotating shaft is achieved.

A method for identifying geometric errors in a machine tool includes the steps of: positioning a reference sphere so as to align its center with a centerline of a tool spindle; attaching a position measuring device having a gauge head to a rotation unit so as to direct the gauge head toward a rotation centerline of the rotation unit; acquiring displacement data relative to the center of the reference sphere by measuring positions of the reference sphere with the gauge head while rotating a rotation target (the swivel unit or the rotation unit) with the gauge head directed toward the center of the reference sphere, the displacement data being dependent on rotation angles of the rotation target; and identifying the geometric errors by least squares method using a mathematical expression having terms containing the geometric errors and representing displacement dependent on the rotation angles, and the displacement data.

The application discloses a kind of geometric error parameterization fast modeling methods for multi-configuration five-axis machine tool.The method comprises the following steps: constructing the parameterized general transfer vector table of the five-axis machine tool of target type;The parameter set of five-axis machine tool is input into general transfer vector table, and general transfer vector table generates the transfer vector of each geometric error term of five-axis machine tool, to construct geometric error model;Geometric error term and five-axis coordinate are input into model, and model outputs the position deviation and attitude deviation of tool, to be used for the geometric error compensation of tool of five-axis machine tool.The transfer vector table constructed by the application can be reused, and the geometric error model constructed can be suitable for most conventional configuration machine tools;The application can realize the parameterization fast modeling of five-axis machine tool geometric error, can reduce the experience requirement of research and operator, and provides convenience for the accuracy design, error compensation research of various conventional five-axis machine tools and the transverse comparison research between various machine tool configurations and layouts.

The present invention relates to an apparatus and to a method for compensation of errors of a numerically controlled machine tool, which has at least one controllable machine axis for relative positioning of at least one workpiece relative to one or more machining devices. The method comprises detecting actual measured values of at least one input variable describing a state of the machine tool by means of sensors on the machine tool, providing at least one compensation parameter to be utilized by a control device of the machine tool on the control device of the machine tool and compensating errors on the machine tool on the basis of the compensation parameter provided to the control device. The compensation comprises the compensation of thermal errors, the compensation of geometric errors and the compensation of errors on the basis of the dynamics of the machine.

The invention discloses a trigger type measuring head pre-stroke error compensation method based on an error transfer theory, and belongs to the field of machine tool on-machine measurement and error compensation. According to the trigger type measuring head pre-stroke error compensation method, in calibration work before machine measurement, according to the transfer chain theory of geometric errors of workpieces in actual work of a machine tool, a geometric error chain model is established by adopting non-coaxial secondary coordinate transformation between forming gear grinding machine tools, and a pre-stroke error expression formula of a trigger type measuring head is established in a combined mode; the pre-stroke error of the compensation trigger type measuring head is calibrated and compensated more accurately and specifically through the error transfer accumulation effect in the on-machine measurement process.

The invention relates to the technical field of geometric error evaluation of hole and shaft parts in the field of machinery, and discloses a hole and shaft part action boundary discrimination method, which comprises the following steps of: deriving a motion coefficient vector for describing radius change of each measuring point based on a tiny rigid body motion model of a surface measuring point set of a measured part; and the motion coefficients are combined into a motion coefficient matrix. Furthermore, the method establishes a discriminant inequality group based on a mutual exclusion proposition. The judgment process is realized by analyzing the rank of the motion coefficient matrix and iteratively solving an equation set formed by the maximum linear independent matrix of the motion coefficient matrix, and finally, whether the fitting cylinder is the action boundary or not is determined by judging whether the inequality set has a feasible solution or not. According to the method, the problems of complicated geometric discrimination conditions, lack of universality and the like in the existing evaluation method can be solved, and a reliable basis which is easy to realize in a stylization manner is provided for determining the action boundary of the hole-shaft part.

A five-axis machine tool rotary axis geometric error identification method based on machining testing includes: 1. Design of a feature workpiece; 2. Machining of the feature workpiece: machining two identical arc surfaces and two identical rectangular grooves on the same side of the workpiece; 3. On-machine measurement of the workpiece: after machining the feature workpiece, the machine tool is cooled to room temperature, and the data of each arc surface and each rectangular groove of the workpiece at room temperature is measured using the machine tool's on-machine measurement system; 4. Identification of the machine tool rotary axis geometric error: processing the data detected in step 3 to obtain three position error models and three direction error models, thereby identifying the position-independent geometric error of the rotary axis. The present invention has a simple identification mode and high identification efficiency, thereby improving the machining accuracy of the five-axis CNC machine tool.

The process adaptability pilot test verification evaluation method and system for the aviation structural part machining machine tool comprises the steps that the comprehensive geometric error, the motion linkage error and the machining process dynamic error of the machine tool are obtained, and a comprehensive precision evaluation model of the machine tool is established; based on a comprehensive precision evaluation model, processing efficiency adaptability evaluation is carried out on the machine tool; establishing a thermal characteristic model of the machine tool through heat source analysis, temperature field monitoring and thermally induced error modeling; establishing a resonance characteristic model of the machine tool through modal test of the whole machine and key parts and resonance characteristic evolution analysis in a processing space; and performing comprehensive process adaptability evaluation on the machine tool by combining the comprehensive precision evaluation model, the thermal characteristic model of the machine tool and the resonance characteristic model of the machine tool, and performing process adaptability pilot test verification on the machine tool based on an evaluation result.

An online measurement gear precision evaluation method considering geometric errors of a large-specification gear making machine tool is characterized in that a measurement path is planned based on the large-specification machine tool which is provided with an online measurement system and contains X, Y, Z and C axes, an online measurement system geometric error model is established, the influence of the geometric errors on a measurement result is analyzed, and the precision of the large-specification gear making machine tool is evaluated. And obtaining a theoretical comparison position corresponding to the actual measurement point, and evaluating the processed measurement result. A measurement path is planned according to an involute helical gear measurement principle and shaft configuration characteristics of a large-specification gear making machine tool; establishing a geometric error model in combination with the measurement path; and analyzing the influence of the geometric error on the measurement result, correcting the measurement result, and evaluating the corrected measurement result. According to the invention, the online measurement evaluation accuracy of the large-specification gear making machine tool is improved.

The present application relates to a kind of five-axis machine tool rotation axis geometric error detection and identification method based on ball bar measurement, comprising: establishing five-axis machine tool geometric error model;Determine the axis of rotation of two points, and respectively determine the installation position of ball bar X direction, Y direction, Z direction at the two points;Get the reading of ball bar at different installation positions when rotation axis rotates;According to the two groups of readings of ball bar and the coordinates of fixed ball when ball bar X direction, Y direction, Z direction is installed, 3 three-dimensional spherical surfaces are established respectively, the intersection point is a point on the axis of rotation, the axis expression of rotation axis is determined by two different space points;Compare actual axis and ideal axis when rotation axis rotates, determine all 10 geometric errors of rotation axis by means of corresponding geometric error identification formula.The present application is suitable for different types of five-axis machine tool rotation axis error detection scene, only need rotation axis to participate in rotation when measuring, principle is correct, convenient and simple, measurement is convenient, identification efficiency and identification precision are high.

The application discloses a forming gear grinding machine sensitive geometric error identification method for gear evaluation error, which comprises the following steps: establishing a grinding wheel rotary surface parameter model based on gear parameters to be machined; establishing a quantitative mapping analytical model of machine tool geometric error-gear tooth profile / helical line deviation; and identifying sensitive geometric errors affecting the evaluation deviation of the gear tooth profile / helical line. The application can identify key errors affecting the gear surface precision, provide a theoretical basis for subsequent machining compensation, and improve the forming gear grinding error compensation efficiency.

The invention discloses a method for identifying geometric errors of a C shaft of a numerical control forming gear grinding machine based on a ball bar. The geometric error generation mechanism is analyzed according to the structure and transmission chain characteristics of the C-axis rotary table of the numerical control forming gear grinding machine, and a geometric error identification model of the C-axis rotary table is established based on the homogeneous coordinate transformation principle. The method comprises the following steps: building a geometric error measurement system, reasonably selecting a measurement range and an overtravel, generating an operation program, measuring to obtain a variation H delta of a ball rod, inputting a geometric error identification equation, and obtaining and separating five geometric errors delta x, delta y, delta z, epsilon x and epsilon y of a C-axis turntable under different installation modes by using the ball rod. Compared with an existing measurement method which is complex, low in stability and precision and the like, the method has the advantages that an identification model is simplified, coupling interference of other error sources is reduced, a measurement system is quickly and simply built, five motion geometric errors of the C-axis turntable can be accurately separated, and the geometric error measurement and compensation precision of the C-axis turntable of the numerical control forming gear grinding machine is improved.

The invention relates to a geometric accuracy forward design method for a tool magazine and a tool changer. The geometric accuracy forward design method comprises the steps that S1, movement of the tool magazine and the tool changer is solved for all links of the tool magazine and the tool changer, and a movement matrix is established; s2, introducing an error term, constructing a tool magazine and tool changer full-link component geometric error transmission model, and establishing an error composite mapping model of a tool changer complete transmission chain; s3, determining specific numerical values or expressions of all motion items and error items based on rigid body hypothesis; s4, substituting the true value into the refined and simplified error transfer model, and guiding the subsequent assembly tolerance optimization design of the tool changer; and S5, carrying out sensitivity analysis on the optimized error transfer model to obtain a key geometric error term which greatly influences the accuracy of the tail end of the tool changer. The stability and machining precision of the tool magazine and the tool changing device in the machining process are improved, and the blank of an efficient and high-precision geometric precision design method in the tool magazine field is filled up.

The application discloses a numerical control machine tool precision distribution method from geometric error to manufacturing tolerance, comprising: using small deformation hypothesis and superposition principle to obtain the influence coefficient matrix of manufacturing tolerance to position related geometric error, and combining with the machine tool motion chain to establish a manufacturing tolerance-geometric error-space error three-layer mapping model; adopting Sobol total effect sensitivity analysis of the overall workspace characteristic trajectory to obtain the total effect sensitivity index of each manufacturing tolerance; establishing a manufacturing cost evaluation model, and combining with the total effect sensitivity index to construct a cost sensitivity index; taking the minimum manufacturing cost as the target, comprehensively considering the tolerance definition domain constraint, the sorting constraint and the space error confidence constraint, and using an optimization algorithm to realize precision distribution. The application traces the precision distribution from the abstract geometric error level to the part manufacturing tolerance level, and can further realize the collaborative optimization of machine tool precision design and manufacturing cost.

The application discloses a kind of cylinder longitudinal weld excess height measurement method, system and storage medium, method includes: first, build the measurement system containing mechanical measurement component and data processing unit, input cylinder design radius and support span parameter, calculate theoretical chord height benchmark value by geometric error compensation model, establish the virtual measurement zero point of eliminating the influence of cylinder curvature.Again, the original mechanical displacement and deflection angle are measured by mechanical component and transmitted to data unit.Data unit first does cosine error correction to original displacement, then eliminates cylinder curvature interference by curvature compensation operation, and separates out the real displacement component of weld excess height.Finally, according to the real component, the actual excess height is calculated, compared with the standard threshold to determine the eligibility, record the output maximum peak, complete weld excess height quantitative evaluation.Provides reliable technical support for welding quality detection.

The present invention discloses a probe-based method for measuring the geometric error of a CNC machine tool spindle, belonging to the technical field of CNC machining precision detection. The method is characterized in that it comprises the following steps: a. setting the center of a ceramic standard ball as the origin of a measurement coordinate system; b. calculating the spindle axial runout T1; c. calculating the spindle radial runout T2; d. automatically measuring the machine tool precision by invoking the machine tool's probe, and automatically compensating the spindle axial runout T1 and the spindle radial runout T2 in the CNC system based on the measurement results. The present invention can automatically calibrate and compensate for the spindle radial runout precision and the spindle axial runout precision of the machine tool spindle, reducing manual intervention in the measurement process, improving detection efficiency, and effectively avoiding product quality problems caused by reduced geometric precision of the machine tool spindle.

The present invention discloses an error compensation method for a double-end drive gantry machine tool. The present invention comprises the following steps: 1. establishing a theoretical transformation matrix of the tool end of the double-end drive gantry machine tool, comparing it with the actual transformation matrix, and obtaining an error transfer model of the tool end; 2. simultaneously applying instructions to both ends of the double-end drive gantry machine tool to drive the movement of the double-drive X-axis, Y-axis, and Z-axis; 3. installing a laser interferometer probe and a reflector at a specified position of each axis, and obtaining geometric errors through interferometer measurement; 4. substituting the measured geometric errors into the error transfer model to calculate the tool end error; 5. performing error compensation on the tool end based on the calculated tool end error. The method of the present invention can quantitatively evaluate the influence of the double-end drive error on the positioning accuracy of the tool end through the error transfer model, compensate for the position error, improve the machining accuracy of the double-end drive gantry machine tool, and solve the problem of insufficient machining accuracy in actual machining.

An error identification method for measuring a position of a measured gauge (32) in a three-dimensional space and for identifying a geometric error in a machine tool in which the measured gauge (32) is mounted on a table (3), from a value of the position measured by a position measuring sensor (30) installed on a spindle (2) in the machine tool, wherein the machine tool includes three or more translation axes, one or more rotation axes, the rotatable spindle (2) to which a tool (9) is to be installed, the table (3), and a control device configured to control the respective translation axes, the rotation axis, and the spindle (2), the error identification method comprising: a tool sensor position acquiring step of installing a reference tool (8) as a length reference of the tool (9) on the spindle (2) and acquiring a sensing position of a distal end of the reference tool (8) with a tool sensor (40, 50); a reference block position acquiring step of acquiring positions of the translation axes when the reference tool (8) installed on the spindle (2) is brought into contact directly or indirectly with a reference block (42, 53) arranged on the side of the tool sensor (40, 50); a relative position calculation step of calculating a relative position of the reference block (42, 53) with respect to the perception position from the perception position obtained in the tool sensor position obtaining step and the positions of the translation axes obtained in the reference block position obtaining step; a reference tool position acquiring step of installing the reference tool (8) on the spindle (2) and acquiring a reference tool position with the tool sensor (40, 50), the reference tool position being a distal end position of the reference tool (8); a position measuring sensor measuring step of installing the position measuring sensor (30) on the spindle (2) and measuring a position of the reference block (42, 53) with the position measuring sensor (30); a length compensation value calculation step of calculating a compensation value of the position measuring sensor (30) in a longitudinal direction from the reference tool position obtained in the reference tool position obtaining step, the position of the reference block (42, 53) measured in the position measuring sensor measuring step, the relative position calculated in the relative position calculation step, and the length of the reference tool (8); a diameter compensation value obtaining step of obtaining a compensation value of the position measuring sensor (30) in a radial direction with the measured gauge (32); a position measuring step of indexing the rotation axis to a plurality of arbitrary given angles and measuring respective positions of the measured gauge (32) by the position measuring sensor (30); a position compensation step of compensating the position measurement value in the position measuring step using the compensation value in the longitudinal direction and the compensation value in the radial direction; and a geometric error identification step of identifying the geometric error from the compensation of a plurality of position measurement values ​​in the position compensation step.

This invention provides a method for sensitive identification and iterative compensation of geometric errors in gear tooth profile. Specifically, it includes the following steps: Step 1: Measuring the geometric errors of each axis of the machine tool using a laser interferometer, and establishing a geometric error-tooth profile error coupling model based on the principles of homogeneous coordinate transformation and form grinding; Step 2: Introducing Sobol global sensitivity analysis and quasi-Monte Carlo sampling to analyze the errors and screen out the key geometric error terms that have the greatest impact on tooth profile error; Step 3: Constructing an iterative compensation model based on sensitivity matrix and step size coefficient control with the goal of minimizing tooth profile error, and obtaining the compensation amount through iterative calculation. This invention combines sensitivity analysis with iterative solution, more effectively solving the compensation problem under nonlinear strong coupling conditions. Furthermore, this invention only compensates for key geometric errors, reducing the interference of redundant variables, lowering the computational load, and improving gear grinding accuracy.

The invention discloses a rotary shaft geometric error self-calibration identification method based on a tower-shaped workpiece, and the method comprises the following steps: S10, carrying out the design of the tower-shaped workpiece which is formed by neatly stacking five layers of square steps and is of a regular stepped structure; s20, error definition and modeling are carried out, errors comprise workpiece geometric errors, linear axis errors and rotation axis errors, and EG represents workpiece geometric error values at the measuring points, namely, deviation values of actual outlines of the workpieces at the measuring points and theoretical design positions in the normal direction; s30, measuring point distribution setting and measuring mode definition are carried out; and S40, identifying errors by adopting a self-calibration algorithm. By using the method, the geometric errors of the rotating shaft (C shaft), the linear shaft and the workpiece can be synchronously identified.

The present invention relates to the technical field of five-axis CNC machining error detection, and specifically to a high-precision geometric error detection method and system for five-axis CNC machining, comprising: obtaining the height error value and height error matrix of the measurement point on the worktable surface through a laser interferometer; determining the ultimate probability of deformation of the height error matrix in the corresponding area of ​​the worktable surface; determining the deformation amount of the worktable surface at each measurement; determining the rate of change of the deformation amount of the worktable surface in the most recent measurement; determining the final deformation amount of the position of the workpiece on the worktable surface at each moment; and compensating the five-axis CNC machining machine according to the final deformation amount. The present invention reduces the dynamic influence of the deformation of the worktable surface that accumulates over time and the influence of the workpiece's own weight on the worktable surface, which is conducive to improving the overall machining performance of the five-axis CNC machining machine.

This invention belongs to the field of CNC machining technology and discloses a method and apparatus for avoiding singular points in five-axis machining tool trajectories based on Riemann optimization. The method includes S1: reading tool position data and identifying singular regions in the machining path; S2: establishing an objective function on a unit spherical manifold, the objective function being used to guide the tool axis direction to deviate from the singular regions in step S1; S3: iteratively solving the objective function in step S2 using the Riemann optimization method to obtain the optimized tool axis direction to avoid the singular regions, reconstructing the trajectory of the optimized tool axis direction, and outputting the final tool position point through nonlinear error control. This invention avoids projection errors by directly optimizing the tool direction on a unit spherical manifold, uniformly handling the requirements of trajectory smoothness, accuracy, and non-singularity, effectively controlling geometric errors while ensuring machining continuity, and significantly improving the quality and reliability of five-axis CNC machining.

The invention relates to the technical field of modeling, and particularly provides an Abbe error modeling method and system for a multi-axis machine tool, a terminal and a storage medium, and the method comprises the steps: constructing a reference coordinate system; analyzing kinematic chain data of the machine tool; analyzing an error coupling relationship between the linear axis and the rotating axis; and constructing an Abbe error model in the reference coordinate system based on the kinematic chain data and the error coupling relationship, wherein the Abbe error model is used for decoupling the Abbe error from the measured geometric error of the motion axis. According to the method, the error coupling relation between the linear shaft and the rotating shaft is analyzed, the Abbe error generated by deviation coupling between the deflection error of the rotating shaft and the linear shaft is considered, the influence effects of the geometric error and the Abbe error on the tool function point are separated, and therefore the overall machining precision of the machine tool is improved.