A Novel Contouring Error Estimation Method for Contouring Control

Yang, Xiao; Seethaler, Rudolf; Zhan, Chengpeng; Lu, Dun; Zhao, Wanhua

doi:10.1109/tmech.2019.2928791

Cited by 18 publications

(9 citation statements)

References 20 publications

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“…Researchers have identified intermediate machine adjustments that ensure milling stability, depending on the conditions and parameters of the process. This approach was applied in works [10,11]; but the use of a deliberate modification of contact surfaces reduces the sensitivity of machined articles, specifically, worm gears, and leads to errors in the manufacture of their elements. This fact is highlighted in paper [12].…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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Development of a technique for the geometrical modeling of conjugated surfaces when determining the geometrical parameters of an engagement surface contact in kinematic pairs

Ismailova

Bogach

Lebedev

2020

EEJET

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This paper reports a technique for constructing a geometric shape of the surface of contact between the interacting conjugated machine elements using computer technology. A subprogram has been developed in the MATLAB software package. The comprehensive solution to such problems is a certain scientific challenge and is of great importance when designing the kinematic pairs in mechanical engineering. The main systemic drawback in the construction of complex mechanisms is that the design process does not take into consideration the geometric characteristics of the contact spatial engagement surface in the screw kinematic pairs. As a result, during the manufacture of a kinematic pair, conventionally designed structural elements demonstrate defects that shorten their lifespan. Solving the set task could reduce the time to design toothing, cutting tools, would ensure the required estimation and graphic accuracy, as well as improve the efficiency of the manufacture of parts. The study of existing procedures for designing screw conjugated surfaces has made it possible to note their unsatisfactory compliance with modern design requirements. Therefore, the manufacture of a kinematic pair that provides for technological accuracy implies the assignment of the curvilinear shapes for a contact spatial engagement surface under the predefined conditions. The proposed geometric technique for determining the shape of a contact spatial surface of the kinematic pairs of toothing and cutting tools could make it possible to design and manufacture components and mechanisms with the required accuracy

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…Suppose the curved surface is located in an arbitrary place in the spatial domain and is set by the system of equations (11); rotating around the Z-axis yields expression (12) (Fig. 9).…”

Section: The Essence Of the Proposed Technique For Geometric Modelingmentioning

confidence: 99%

Development of a technique for the geometrical modeling of conjugated surfaces when determining the geometrical parameters of an engagement surface contact in kinematic pairs

Ismailova

Bogach

Lebedev

2020

EEJET

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“…One of the information that can be derived from ground contour maps is the contour interval, which is an elevation difference between two adjacent and parallel contour lines [1,8]. Contour interval is an important information that must be provided in the construction development [2,9]. Without it, building construction design planning becomes inaccurate and might results an unstable, not sturdy building.…”

Section: A Backgroundmentioning

confidence: 99%

Performance Evaluation of Direction Cosine Matrix and Madgwick’s as 3D Orientation Estimation Algorithm for Estimating Ground Contour

Wibowo

Purwanto

Christie

et al. 2020

Preprint

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Abstract Contour interval is elevation difference between two contour lines that are adjacent and parallel. Ground Contour interval is an important information that must be provided in a construction. Ground contour interval estimation problem could be viewed as a 3D trajectory estimation problem. One framework, called dead reckoning, is often used for motion (position and orientation) tracking of a mobile systems over time. Dead reckoning requires a precise 3D orientation estimation algorithm. Two competing algorithms are Direction Cosine Matrix and Madgwick’s. To ensure the 3D trajectory estimation gives an accurate result, these two algorithms must be carefully and thoroughly evaluated. This research is part of a complete research on the development of a ground contour estimation and only focuses on comparison between two 3D orientation estimation algorithm.

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“…Sheng et al proposed a comparison strategy to improve the accuracy of traditional contour error estimation [23]. A novel computationally efficient contouring error estimation method for contouring control was presented by Yang et al, which eliminates the abrupt changes in contouring error vector directions that are encountered by traditional contouring error estimation methods in large-curvature regions [24]. To simultaneously achieve accurate contouring error estimation and high-performance contouring control for three-dimensional contouring-following tasks, Hu et al proposed a numerical calculation-based contouring error estimation and contour compensation scheme [25].…”

Section: Introductionmentioning

confidence: 99%

Feedforward combined multi-axis cross-coupling contour control compensation strategy of optical mirror processing robot

Jin

Meng

2022

Robotica

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During the movement of an optical mirror processing robot (OMPR), the movement error of each branch chain leads to contour errors of the grinding tool, which reduce the accuracy of the optical mirror surface. To improve the processing accuracy of an OMPR, it is necessary to study the control and compensation strategy of its contour error. In this study, first, a kinematics analysis of an OMPR is conducted, and the trajectory of the end execution point in the world coordinate system is transformed into the fixed coordinate system of the robot. Combined with the common trajectory of optical mirror processing, based on the Frenet coordinate system, contour error models of the OMPR in straight line, arc, and spiral trajectories are established. Subsequently, the contour error, feedforward channel gain, and compensation channel gain models of the parallel module are established in the task space, and concurrently, the control variables and stability of the system are analyzed. Finally, the established feedforward combined multi-axis cross-coupling contour control compensation strategy is analyzed experimentally to verify its accuracy and effectiveness. It provides a theoretical basis for a robot to directly face the precision processing object using the control and compensation strategy in a future research study to improve the molding accuracy of a surface and optimize the processing technology of a large-scale optical mirror.

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A Novel Contouring Error Estimation Method for Contouring Control

Cited by 18 publications

References 20 publications

Development of a technique for the geometrical modeling of conjugated surfaces when determining the geometrical parameters of an engagement surface contact in kinematic pairs

Development of a technique for the geometrical modeling of conjugated surfaces when determining the geometrical parameters of an engagement surface contact in kinematic pairs

Performance Evaluation of Direction Cosine Matrix and Madgwick’s as 3D Orientation Estimation Algorithm for Estimating Ground Contour

Feedforward combined multi-axis cross-coupling contour control compensation strategy of optical mirror processing robot

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