On the problem of laser error correction of multi-axis influence of loading on laser accuracy correction of multi-axis systems

Teleshevsky, V. I.; Sokolov, V. A.; Pimushkin, Ya.I.

doi:10.1088/1742-6596/1260/3/032038

Cited by 3 publications

(1 citation statement)

References 4 publications

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“…Multi-axis systems with software-controlled movement of units and mechanisms are a an important part of modern mechanical engineering, in terms of both the technological equipment (machine tools, industrial robots) and measuring technologies (coordinate measuring machines). Highly efficient use of such systems at the moment is no longer possible without a systemic increase in the volumetric accuracy (VA) of the actuator equipment, that reflects the ability to accurately reproduce complex three-dimensional surfaces with a measuring tip or cutting edge of a tool [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

Solution of the Rodriguez Equation in Modeling Volumetric Geometric Accuracy of Multi-Coordinate Systems

Stebulyanin

Pimushkin

2021

EPJ Web Conf.

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The article describes the solution to the Rodrigues equation for determining the volumetric accuracy of multi-axis CNC-controlled systems. An algorithm for calculating the position of the axis of a rotary kinematic pair in problems of volumetric accuracy of mechanical motion of a portal-type system with an additional pair of rotation. The algorithm is based on the analytical solution of the Rodrigues equation in the inverse problem of finding the vector of the final rotation of the known modulus from the known initial and final values of the characteristic vector of the rotated rigid body. In contrast to the well-known direct problem, where based on a finite rotation vector known in direction and magnitude, and the initial value of the characteristic vector of a body, its final value is found, the inverse problem of the Rodrigues equation is not that common due to the nonlinearity and need to solve a nonlinear coupled system of second order equations. The results of this work make it possible to expand the dimension of the space of generalized coordinates of the system analyzed for the volumetric accuracy from three to four. This is expected contribute to the development of ultra-precise systems of controlled mechanical movement. The analytical results of this study were verified by comparing with numerical solutions of the inverse problem in Maple.

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Section: Introductionmentioning

confidence: 99%

Solution of the Rodriguez Equation in Modeling Volumetric Geometric Accuracy of Multi-Coordinate Systems

Stebulyanin

Pimushkin

2021

EPJ Web Conf.

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Volumetric geometric accuracy of multi-axis measurement and technological systems: analysis and correction

Teleshevskii,

Sokolov

2023

Meas Tech

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Volumetric geometric accuracy of multi-axis measurement and technological systems: analysis and correction

Teleshevskii,

Sokolov

2023

jour

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The paper describes a method of accuracy improvement for multi-axis NC-controlled technological and measurement systems. Such systems are essentially cyber-physical in conditions of integration of calculations into physical processes in modern digital production. Volumetric accuracy – ability of a system to precisely reproduce a complex geometrical surface – is an important characteristic of multi-axis systems. Both measurement devices and methods of error correction are being improved by up-to-date researchers. The paper considers a method of convenient visualization of large amounts of collected data and an approach to improve volumetric accuracy by means of volumetric error compensation. The considered visualization method provides valuable data on multi-axis system’s accuracy characteristics and information about infl uence of various error components on multi-axis system’s error map. The accuracy improvement approach was implemented by original software. The experiments confi rmed accuracy improvement and low time and material costs of the method. The proposed method and approach are basis for consolidation of accuracy information collected from various multi-axis systems into united enterprise network and offers possibilities for artifi cial intelligence employment in order to develop new and advance existing technologies.

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On the problem of laser error correction of multi-axis influence of loading on laser accuracy correction of multi-axis systems

Cited by 3 publications

References 4 publications

Solution of the Rodriguez Equation in Modeling Volumetric Geometric Accuracy of Multi-Coordinate Systems

Solution of the Rodriguez Equation in Modeling Volumetric Geometric Accuracy of Multi-Coordinate Systems

Volumetric geometric accuracy of multi-axis measurement and technological systems: analysis and correction

Volumetric geometric accuracy of multi-axis measurement and technological systems: analysis and correction

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