An identification method for crucial geometric errors of gear form grinding machine tools based on tooth surface posture error model

2019 ◽  
Vol 138 ◽  
pp. 76-94 ◽  
Author(s):  
Changjiu Xia ◽  
Shilong Wang ◽  
Shouli Sun ◽  
Chi Ma ◽  
Xiaochuan Lin ◽  
...  
Keyword(s):  
Machine Tools ◽  
Error Model ◽  
Tooth Surface ◽  
Geometric Errors ◽  
Identification Method ◽  
Form Grinding ◽  
Grinding Machine

Research on Geometric Error Compensating Technique of CNC P3G Grinding Machine

2012 ◽  
Vol 462 ◽  
pp. 287-294 ◽  
Author(s):  
Yi Jian ◽  
Qian Qian Li ◽  
Hong Cheng ◽  
Bin Wu Lai ◽  
Jian Fei Zhang
Keyword(s):  
Machine Tools ◽  
Geometric Error ◽  
Error Model ◽  
Error Modeling ◽  
Numerical Control ◽  
Geometric Errors ◽  
Real Time Control ◽  
Time Control ◽  
Applied Software ◽  
Grinding Machine

Kinematic accuracy is a key reason which influence workpiece's geometric error precision on traditional working process of precisely CNC（Computerized Numerical Control）P3G（polygon profile with 3 lobes） grinding machine. A systematic geometric error model has been presented for CNC P3G grinding machine， proposed multi-body system theory integrate with the structure of CNC P3G grinding machine tools, researched on the machine's space geometric errors. By means of separate geometric errors from the machine tools, build geometric mathematical error model. Then, identify 21 error parameters through method of 9 lines, analysis and calculate the total space geometric errors of the workpiece and wheel. Finally, formed a parameter-list and applied software error compensational technique ， achieved real-time control to the motions of workpiece and wheel. Experimental results shown that the geometrical error modeling technique is accurate and efficient, and the precision of CNC P3G grinding machine is highly raised 70%.

scholarly journals Rapid Measurement and Identification Method for the Geometric Errors of CNC Machine Tools

2019 ◽  
Vol 9 (13) ◽  
pp. 2701 ◽  
Author(s):  
Li ◽  
Yang ◽  
Gao ◽  
Su ◽  
Wei ◽  
...  
Keyword(s):  
Error Compensation ◽  
Machine Tools ◽  
Degrees Of Freedom ◽  
Cnc Machine Tools ◽  
Geometric Errors ◽  
Two Dimensional ◽  
Cnc Machine ◽  
Angle Sensor ◽  
Identification Method ◽  
Measuring Machine

Error compensation technology offers a significant means for improving the geometric accuracy of CNC machine tools (MTs) as well as extending their service life. Measurement and identification are important prerequisites for error compensation. In this study, a measurement system, mainly composed of a self-developed micro-angle sensor and an L-shape standard piece, is proposed. Meanwhile, a stepwise identification method, based on an integrated error model, is established. In one measurement, four degrees-of-freedom errors, including two-dimensional displacement and two-dimensional angle of a linear guideway, can be obtained. Furthermore, in accordance with the stepwise identification method, the L-shape standard piece is placed in three different planes, so that the measurement and identification of all 21 geometric errors can be implemented. An experiment is carried out on a coordinate measuring machine (CMM) to verify the system. The residual error of the angle error, translation error and squareness error are 1.5″, 2 μm and 3.37″, respectively, and these are compared to the values detected by a Renishaw laser interferometer.

scholarly journals Mathematical Model of Helical Gear Topography Measurements and Tooth Flank Errors Separation

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Huiliang Wang ◽  
Xiaozhong Deng ◽  
Jianhai Han ◽  
Jubo Li ◽  
Jianjun Yang
Keyword(s):  
Mathematical Model ◽  
Gear Tooth ◽  
Helical Gear ◽  
Tooth Surface ◽  
Geometrical Shape ◽  
Form Grinding ◽  
Polar Coordinate ◽  
Grinding Machine ◽  
Tooth Flank ◽  
Five Axis

During large-size gear topological modification by form grinding, the helical gear tooth surface geometrical shape will be complex and it is difficult for the traditional scanning measurement to characterize the whole tooth surface. Therefore, in order to characterize the actual tooth surfaces, an on-machine topography measurement approach is proposed for topological modification helical gears on the five-axis CNC gear form grinding machine that can measure the modified gear tooth deviations on the machine immediately after grinding. Combined with gear form grinding kinematics principles, the mathematical model of topography measurements is established based on the polar coordinate method. The mathematical models include calculating trajectory of the centre of measuring probe, defining gear flanks by grid of points, and solving coordinate values of topology measurement. Finally, a numerical example of on-machine topography measurement is presented. By establishing the topography diagram and the contour map of tooth error, the tooth surface modification amount and the tooth flank errors are separated, respectively. Research results can serve as foundation for topological modification and tooth surface errors closed-loop feedback correction.

Effects of Wheel Dressing Errors on the Accuracy of CNC Gear Form Grinding

2013 ◽  
Vol 328 ◽  
pp. 400-407 ◽  
Author(s):  
Hu Zhang ◽  
Xiao Diao Huang
Keyword(s):  
Mathematical Model ◽  
Theoretical Foundation ◽  
Coordinate Measuring Machine ◽  
Tooth Surface ◽  
Wheel Surface ◽  
Precision Control ◽  
Form Grinding ◽  
Measuring Machine ◽  
Grinding Machine ◽  
The Mathematical Model

Gear form grinding is a finish machining method for hard tooth surface with a form wheel. Wheel dressing is an important process in gear form grinding, and affects the precision of the ground gear directly. Based on the envelope theory the mathematical model of the dressed wheel surface was built in the case of wheel dressing errors. Then the real profile of the ground tooth in the transverse plan was solved and its deviations from the designed profile were evaluated. Finally the effects of each dressing error on the precision of the ground gear were analyzed using the proposed mathematical model. The results provided theoretical foundation for the precision control during manufacturing a gear form grinding machine. A grinding experiment was implemented using the gear form grinding machine and the ground gear was measured by a three-coordinate measuring machine. The measure result indicated that the accuracy grade of the ground gear achieved 4 (ISO1328-1: 1997).

scholarly journals New identification method for computer numerical control geometric errors

2021 ◽  
pp. 002029402110108
Author(s):  
Hongtao Yang ◽  
Mei Shen ◽  
Li Li ◽  
Yu Zhang ◽  
Qun Ma ◽  
...  
Keyword(s):  
Machine Tools ◽  
Geometric Error ◽  
Numerical Control ◽  
Identification Accuracy ◽  
Cnc Machine Tools ◽  
Geometric Errors ◽  
Cnc Machine ◽  
Identification Method ◽  
Double Ball Bar ◽  
Ball Bar

To address the problems of the low accuracy of geometric error identification and incomplete identification results of the linear axis detection of computer numerical control (CNC) machine tools, a new 21-item geometric error identification method based on double ball-bar measurement was proposed. The model between the double ball-bar reading and the geometric error term in each plane was obtained according to the three-plane arc trajectory measurement. The mathematical model of geometric error components of CNC machine tools is established, and the error fitting coefficients are solved through the beetle antennae search particle swarm optimization (BAS–PSO) algorithm, in which 21 geometric errors, including roll angle errors, were identified. Experiments were performed to compare the optimization effect of the BAS–PSO and PSO and BAS and genetic particle swarm optimization (GA–PSO) algorithms. Experimental results show that the PSO algorithm is trapped in the local optimum, and the BAS–PSO is superior to the other three algorithms in terms of convergence speed and stability, has higher identification accuracy, has better optimization performance, and is suitable for identifying the geometric error coefficient of CNC machine tools. The accuracy and validity of the identification results are verified by the comparison with the results of the individual geometric errors detected through laser interferometer experiments. The identification accuracy of the double ball-bar is below 2.7 µm. The proposed identification method is inexpensive, has a short processing time, is easy to operate, and possesses a reference value for the identification and compensation of the linear axes of machine tools.

Sign in / Sign up

Export Citation Format

Share Document