scholarly journals Evaluation and compensation of a kinematic error to enhance prepolishing accuracy for large aspheric surfaces by robotic bonnet technology

2020 ◽  
Vol 28 (17) ◽  
pp. 25085
Author(s):  
Bo Zhong ◽  
Qiao Xu ◽  
Jian Wang ◽  
Wenhui Deng ◽  
Xianhua Chen
Keyword(s):  
Kinematic Error ◽  
Aspheric Surfaces

scholarly journals A Kinematic Error Controller for Real-Time Kinematic Error Correction of Industrial Robots

2021 ◽  
Vol 53 ◽  
pp. 705-715
Author(s):  
Mitchell R. Woodside ◽  
Joseph Fischer ◽  
Patrick Bazzoli ◽  
Douglas A. Bristow ◽  
Robert G. Landers
Keyword(s):  
Error Correction ◽  
Real Time ◽  
Industrial Robots ◽  
Kinematic Error ◽  
Real Time Kinematic

Tilt angle correction based forming algorithm for high steepness aspheric surfaces polishing

Optik ◽  
2021 ◽  
pp. 167082
Author(s):  
Changjun Jiao ◽  
Yong Shu ◽  
Zhen Zhang ◽  
Bo Wang ◽  
Feihai Gao
Keyword(s):  
Tilt Angle ◽  
Aspheric Surfaces ◽  
Angle Correction

scholarly journals Optical Design of the Goaly3 Multi-Mirror Telescope System with a Wide Field of View

2021 ◽  
Vol 11 (3) ◽  
pp. 1200
Author(s):  
Junliu Fan ◽  
Quanying Wu ◽  
Baohua Chen ◽  
Lin Liu ◽  
Lei Chen
Keyword(s):  
Fill Factor ◽  
Optical Design ◽  
Tolerance Analysis ◽  
Field Of View ◽  
Wide Field ◽  
Aspheric Surfaces ◽  
The Monte Carlo Method ◽  
Wide Field Of View ◽  
Mirror Telescope ◽  
Telescope System

A Golay3 multi-mirror telescope (MMT) system is designed in this paper. The fill factor of the Golay3 MMT is derived from the angular resolution of the telescope. An initial configuration is established according to the paraxial optical theory. A three-element aspheric corrector group is designed and placed in the converging light cone to enlarge the field of view (FOV) of the Golay3 MMT. The tolerance analysis for each surface of the Golay3 MMT is conducted using the Monte Carlo method. The design results show the FOV of the Golay3 MMT system can be increased to 1.5° with the insertion of a three-element aspheric corrector group. The results of the tolerance analysis indicate that most tolerances are loose, while some decenter tolerances relating with the aspheric surfaces are relatively tight, but still within an acceptable range.

scholarly journals Form Accuracy in Raster Flycutting of Asymmetric Aspheric Surfaces. Effect of Laser Positioning Error Due to Fluctuation in Atmospheric Pressure.

2002 ◽  
Vol 68 (665) ◽  
pp. 308-314
Author(s):  
Katsumi YAMAGUCHI ◽  
Kazuo MURATA ◽  
Seiichirou KITAGAWA ◽  
Hiroshi OHWARI ◽  
Kousuke IMAMURA ◽  
...  
Keyword(s):  
Atmospheric Pressure ◽  
Positioning Error ◽  
Aspheric Surfaces ◽  
Form Accuracy

A Novel Error Equivalence Model on the Kinematic Error of the Linear Axis of High-End Machine Tool

2021 ◽  
Author(s):  
Xinxin LI ◽  
Zhi-Min Li ◽  
Sun Jin ◽  
Jichang Zhang ◽  
Siyi Ding ◽  
...  
Keyword(s):  
Machine Tool ◽  
Elastic Deformation ◽  
Numerical Control ◽  
Small Displacement ◽  
Kinematic Error ◽  
Guide Rail ◽  
Linear Guide ◽  
Proposed Model ◽  
Equivalence Model ◽  
Kinematic Errors

Abstract The kinematic errors of the linear axis play a key role in machining precision of high-end CNC (Computer Numerical Control) machine tool. The quantification of error relationship is still an urgent problem to be solved in the assembly process of the linear axis, especially considering the effect of the elastic deformation of rollers. A systematic error equivalence model of slider is proposed to improve the prediction accuracy for kinematic errors of the linear axis which contains the base, the linear guide rail and carriage. Firstly, the geometric errors of assembly surface of linear guide rail are represented by small displacement torsor. According to the theory of different motion of robots, the error equivalence model of a single slider is established, namely the geometric error of assembly surface of linear guide rail and the pose error of slider is equivalent to the elastic deformation of roller. Based on the principle of vector summation, the kinematic error of a single slider is mapped to the carriage and the kinematic error of the linear axis is obtained. Besides, experiments validation of kinematic error model of the linear axis is carried out. It is indicated that the proposed model is accurate and feasible. The proposed model can provide an accurate guidance for the manufacturing and operation performance of the linear axis in quantification, and a more effective reference for the engineers at the design and assembly stage.

A New Kinematic Error Modelling and Identification Method of the Parallel Manipulator

2020 ◽  
Author(s):  
Weitao Li ◽  
Liping Wang
Keyword(s):  
Parallel Manipulators ◽  
Kinematic Error ◽  
Basic Error ◽  
Error Identification ◽  
Partial Differentiation ◽  
Differentiation Method ◽  
Modelling Method ◽  
Error Terms ◽  
Kinematic Error Model ◽  
Identification Model

Abstract Parallel manipulators have broad application prospects on hybrid machine tools. Kinematic error modelling and identification are two key processes to improve the accuracy of parallel manipulators. The traditional kinematic error modelling method adopts the partial differentiation of the ideal kinematic model. However, the partial differentiation method is pure mathematical calculation, which ignores physical meaning of error terms corresponding to each link. In the process of error identification, the Jacobian matrix obtained from the partial differentiation method is usually ill-conditioned, which leads to non-convergence of the identification process. In order to solve the above problems, this paper proposes a new kinematic error modelling method and an error identification model. Firstly, the basic error terms for single link are analyzed. Based on basic error terms, the kinematic error model is established by using the practical connection point of two adjacent links. Then, a new error identification model is derived from the kinematic error model. Finally, as a study case, a 3-DOF parallel tool head is used to verify the correctness of the proposed method. The numerical results show that the proposed method is effective and the accuracy of the 3-DOF parallel tool head improves significantly after compensation of error terms.

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