Sensorless Simultaneous Rotary-Translational Axis Motion Error Measurement and Trace Based on Virtual Bar

2010 ◽  
Author(s):  
Yuqing Zhou ◽  
Xuesong Mei ◽  
Gedong Jiang ◽  
Nuogang Sun ◽  
Bai Shao
Keyword(s):  
Mathematical Model ◽  
Feature Extraction ◽  
Wavelet Transform ◽  
Machine Tool ◽  
Error Measurement ◽  
Error Source ◽  
Spatial Error ◽  
Motion Error ◽  
Circular Test ◽  
The Mathematical Model

Simultaneous rotary-translational (R-T) axis motion error has significant influence on multi-axis machine tool precision. To improve multi-axis machine tool precision, axis motion error measurement and trace method are investigated in this study. A sensorless R-T axis motion error measurement and trace technology based on virtual bar is proposed. Firstly, the fundamental sensorless test principle is discussed. Then, the virtual-bar-based test path of a circular test though a rotary axis and two translational axes motion is scheduled. The mathematical model of motion error is established. Furthermore, to identify the error source, spatial error charts and some advanced signal processing and feature extraction technologies, such as wavelet transform and frequency analysis, are used. The analysis of experimental results shows that it is practical and efficient to use the virtual bar and the sensorless information to estimate motion error.

Mathematical Model for the Influence of Machine Tool Parts Deformation on Machining Accuracy

2014 ◽  
Vol 556-562 ◽  
pp. 1354-1357
Author(s):  
Li Gong Cui ◽  
Gui Qiang Liang ◽  
Fang Shao
Keyword(s):  
Mathematical Model ◽  
Mathematical Method ◽  
Machine Tool ◽  
Cutting Tool ◽  
Lower Surface ◽  
Design Stage ◽  
Machining Accuracy ◽  
Cutting Point ◽  
The Mathematical Model

This paper presents a mathematical method to analyze the influence of each machine tool part deformation on the machining accuracy. Taking a 3-axis machine tool as an example, this paper divides the machine tool into the cutting tool sub-system and workpiece sub-system. Taking the deformation of lower surface of the machine bed as the research target, the mathematical model of the deformation on the displacement of the cutting point was established. In order to distribute the stiffness of each part, the contribution degree of each part on the machining accuracy was analyzed. Using this mathematical model, the stiffness of each part can be distributed at the design stage of the machine tool, and the machining accuracy of the machine tool can be improved economically.

scholarly journals Geometric Error Identification and Analysis of Rotary Axes on Five-Axis Machine Tool Based on Precision Balls

2019 ◽  
Vol 10 (1) ◽  
pp. 100 ◽  
Author(s):  
Chuandong Li ◽  
Xianli Liu ◽  
Rongyi Li ◽  
Shi Wu ◽  
Houwang Song
Keyword(s):  
Machine Tool ◽  
Error Term ◽  
Geometric Error ◽  
Contact Method ◽  
Error Measurement ◽  
Spatial Error ◽  
Term Operation ◽  
Rotary Axes ◽  
Geometric Error Measurement ◽  
Five Axis

This paper presents the design of a precise “ball-column” device to efficiently and accurately measure the geometric error terms of both rotary axes of the five-axis machine tool. A geometric error measurement method of spherical contact was proposed based on the influence of the geometric error term from a five-axis machine tool rotating axis on the integrated geometric error of the machine tool. A multiple degree of freedom, step-by-step contact method based on on-machine measure for measuring the spherical center point is proposed, and the solution formula of each geometric error term of the rotating axis is established, respectively. This method can identify 12 geometric errors based on the influence of one rotating axis on another rotating axis after long term operation. The spatial error field of the five-axis machine tool was constructed by analyzing the error law of the two rotating axes of machine tools based on various positions and postures. Finally, after the comparison of the experiment, the results showed that the accuracy of the developed error measurement device reached 91.8% and the detection time was as short as 30–40 min.

Kinematic Analysis of 5-UPS Parallel Machine Tool Based on Adams

2014 ◽  
Vol 644-650 ◽  
pp. 215-219 ◽  
Author(s):  
Lin Cai
Keyword(s):  
Mathematical Model ◽  
Machine Tool ◽  
Kinematic Analysis ◽  
Inverse Kinematics ◽  
Parallel Machine ◽  
Inverse Solution ◽  
Robot Kinematics ◽  
Vector Method ◽  
Parallel Machine Tool ◽  
The Mathematical Model

In this paper, the kinematics of 5-UPS parallel machine tool is analyzed, and a kinematic analysis method combining kinematic analysis and computer kinematics software is proposed. Under the premise that the parallel machine tool sector parameters is known, firstly we use the vector method to establish a mathematical model of inverse kinematics, and in accordance with a U-shaped processing trajectory the inverse solution is calculated; Secondly, three-dimensional model of the parallel machine tool is modeled in Adams, and kinematic constraints are set correctly; Finally, the inverse kinematics solution of the mathematical model is used as the Adams drive input, then the positive solutions is carried out. Compared through the Adams simulation results with U-machining path, it is verified that the inverse solution of the mathematical model and parallel machine tool bodies both are correct, it has certain significance for Parallel machine tools and other parallel robot kinematics analysis.

scholarly journals Stacked Auto-Encoder Based CNC Tool Diagnosis Using Discrete Wavelet Transform Feature Extraction

Processes ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 456
Author(s):  
Jonggeun Kim ◽  
Hansoo Lee ◽  
Jeong Woo Jeon ◽  
Jong Moon Kim ◽  
Hyeon Uk Lee ◽  
...  
Keyword(s):  
Feature Extraction ◽  
Wavelet Transform ◽  
Machine Tool ◽  
Discrete Wavelet Transform ◽  
Cutting Force ◽  
Condition Based Maintenance ◽  
Discrete Wavelet ◽  
Tool Condition ◽  
Diagnosis Model ◽  
Force Data

Machining processes are critical and widely used components in the manufacturing industry because they help to precisely make products and reduce production time. To keep the previous advantages, a machine tool should be installed at the designated place and condition of the machine tool should be maintained appropriately to working environment. In various maintenance methods for keeping the condition of machine tool, condition-based maintenance can be robust to unpredicted accidents and reduce maintenance costs. Tool monitoring and diagnosis are some of the most important components of the condition based maintenance. This paper proposes stacked auto-encoder based CNC machine tool diagnosis using discrete wavelet transform feature extraction to diagnose a machine tool. The diagnosis model, which only uses cutting force data, cannot sufficiently reflects tool condition. Hence, we modeled diagnosis model using features extracted from a cutting force, a current signal, and coefficients of the discrete wavelet transform. The experimental results showed that the model which uses feature data has better performance than the model that uses only cutting force data. The feature based models are lower false negative rate (FNR) and false positive rate. Moreover, squared prediction error using normalized residual vector also reduced FNR because normalization reduces weight bias.

Machine Bed Support with Sliding Surface for Improving the Motion Accuracy

2016 ◽  
Vol 10 (3) ◽  
pp. 447-454 ◽  
Author(s):  
Yusaku Shirahama ◽  
◽  
Ryuta Sato ◽  
Yusuke Takasuka ◽  
Hidenori Nakatsuji ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Machine Tool ◽  
Frequency Response ◽  
High Speed ◽  
Numerical Control ◽  
Sliding Surface ◽  
Response Curves ◽  
Support Mechanism ◽  
Speed Tracking ◽  
The Mathematical Model

The purpose of this study is to develop a new machine bed support mechanism for reducing the vibration generated during the high-speed tracking motion of numerical control machine tools. In order to achieve this, the frequency response and motion trajectory of a machine tool with the proposed machine bed, which has a sliding surface, are measured and compared with that of the conventional support. Based on the modal analysis of the machine tool structure, a mathematical model representing the influence of the machine bed characteristics on the vibration is also developed. The model consists of a bed, saddle, table, column, and spindle head. Every component has three degrees of freedom for each of the translational and rotational axes. In order to evaluate the characteristics of the machine bed, the mathematical model determines the stiffness and damping along the X-, Y-, and Z-axis between the bed and the ground. The frequency response curves simulated by using the mathematical model are compared with that of the measured ones. From the results of the experiments and simulations, it is confirmed that the vibration generated during high-speed tracking motions can be reduced by using the proposed machine bed with a sliding surface.

Research on High-Speed Linking Algorithm of Continuous Small Blocks

2016 ◽  
Vol 693 ◽  
pp. 1611-1617
Author(s):  
Bai Sheng Ye ◽  
Li Qiang Zhang
Keyword(s):  
Mathematical Model ◽  
Machine Tool ◽  
High Speed ◽  
Constant Speed ◽  
Geometrical Constraint ◽  
Parameter Calculation ◽  
The Mathematical Model ◽  
Motion Constraint

Aiming at the corner connection speed of continuous small blocks caused by their angle influences, the speed of transition is low and easy to cause vibration of machine tool. Research on the mathematical model of constant-speed linking of multiple periods is established by using the arc to smooth continuous small blocks, combined with the transition’s geometrical constraint, motion constraint, parameter calculation, the theory is to realize the method of high-speed interpolation of constant-speed linking of multiple periods. The result reveals that the effectiveness and practicability of the proposed method.

The Pre-Travel Error Study of Electrical Trigger Probe in On-Machine Measurement

2016 ◽  
Vol 693 ◽  
pp. 1466-1473 ◽  
Author(s):  
Yong Lin Cai ◽  
Ning Ning Cui ◽  
Xiang Mo ◽  
Xiang Kai Yao ◽  
Wei Qing Sun
Keyword(s):  
Mathematical Model ◽  
Machine Tool ◽  
Measurement Accuracy ◽  
Nc Machining ◽  
Efficient Measure ◽  
High Efficient ◽  
Probe Angle ◽  
Moving Direction ◽  
The Mathematical Model ◽  
Error Study

On-machine measurement is a high-efficient measure method in NC machining, and there are pre-travel errors during measurement. What is more, these errors tend to present anisotropy, and affect the measurement accuracy. This paper aimed at measuring the anisotropy of probe’s pre-travel error. First, the standard ball is measured by changing the probe angle with the same machine tool moving direction, and the pre-travel errors with different probe angles under the same machine tool errors are obtained. Then, the machine tool backlash errors are measured and compensated, and the pre-travel errors with different probe angle are obtained. Finally, the mathematical model of pre-travel error is established. The method proposed in this paper can be used to determine probe’s pre-travel error with anisotropy.

Research on Flatness Error Measurement of Revolving Body End-Face

2010 ◽  
Vol 44-47 ◽  
pp. 4002-4006 ◽  
Author(s):  
Peng Guan ◽  
Tian Biao Yu ◽  
Wan Shan Wang
Keyword(s):  
Mathematical Model ◽  
Least Squares ◽  
Sampling Method ◽  
Evaluation Method ◽  
Least Squares Method ◽  
Error Measurement ◽  
Measurement Evaluation ◽  
Revolving Body ◽  
The Mathematical Model ◽  
Flatness Error

According to problems of flatness error measurement of revolving body end-face, sampling method and evaluation method are studied in this paper. First, spiral sampling method is presented, in order to meet the needs of flatness error measurement sampling of revolving body end-face. Second, combined with least squares method, mathematical model applied to flatness error measurement evaluation of revolving body end-face is proposed. Finally, through the simulation, the mathematical model is proved to be correct.

The Implement of Robotic Cutting Trajectory Plan for Pressure Vessel

2012 ◽  
Vol 271-272 ◽  
pp. 570-574
Author(s):  
Xiao Li Qiu ◽  
Yan Xing ◽  
Shuang Feng
Keyword(s):  
Mathematical Model ◽  
Feature Extraction ◽  
Trajectory Planning ◽  
Pressure Vessel ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Analytical Geometry ◽  
Program Language ◽  
The Mathematical Model ◽  
Three Dimensional Space

Robot is now can used to cut the opening pore of Pressure Vessel and the end of pipe. It is important to solve the problem of robotic cutting trajectory planning for cutting of the three-dimensional curved surface and the intersected curve with groove at the end of pipe. According to the analytical geometry in the three-dimensional space, the mathematical model of intersected curve with groove is presented. Trajectory planning and cutting torch stance is fixed through the feature extraction and kinematics calculation. Using the L-positioner, the problem of robot limiting in cutting process is resolved. As a post operator, a program is developed to automatically generate corresponding robot program to match to the program language format of Kuka and Reis robot. The robot cutting trajectory supported by the above algorithms and program is tested in solidworks.

scholarly journals Research On Machining Non-Orthogonal Face Gears By Power Skiving With Tooth Flank Modification Based On Six-Axis Machine Tool

2021 ◽  
Author(s):  
Han ZHENGYANG ◽  
Jiang CHUANG ◽  
Deng Xiaozhong
Keyword(s):  
Mathematical Model ◽  
Machine Tool ◽  
Relative Position ◽  
Experimental Results ◽  
Machining Parameters ◽  
Face Gear ◽  
Power Skiving ◽  
Tooth Flank ◽  
The Mathematical Model

Abstract To solve the manufacturing difficulties of non-orthogonal face gear, an efficient gear machining method referred to as power skiving is proposed. The machining principle of the power skiving and the relative position between the cutter tool and the workpiece are analyzed. Then, the mathematical model of machining non-orthogonal face gears by power skiving is established and the tooth flank equation is obtained. The installation and movement mode of non-orthogonal face gears on six-axis machine tool are analyzed and the machining parameters are calculated precisely. A method of tooth flank modification on the six-axis machine tool is presented by changing the machining parameters. The meshing performance of the obtained non-orthogonal face gear is analyzed by an example. Finally, the processing test and the tooth flank measurement are carried out. The experimental results show that the non-orthogonal face gear can be machined and modified by power skiving on the proposed six-axis machine tool.

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