Mathematical Model of the Painting Robot

Michal Bruzl; Vyacheslav Usmanov; Pavel Svoboda; Rostislav Šulc

doi:10.4028/www.scientific.net/AMM.843.72

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 843Mathematical Model of the Painting Robot

Mathematical Model of the Painting Robot

Abstract:

The main objective of the research work was to construct a techno-mathematical model of the robotic arm for conducting painting work, which would streamline the speed and quality of work performed with respect to material savings. For research we chose a robotic arm that is commonly used in industrial production, and adapted it for our conditions. The mathematical model is designed to find the optimal trajectory for moving the robotic arm, where the emphasis is placed on minimizing the path length of motion of the robot ́s endpoint, thus reducing overall energy consumption for the building work. First, the optimal mathematical modeling method was chosen, it was selected according to conditions and parameters of the robotic arm. Thanks to the applied method we picked the software that helped to create the algorithm. Subsequently, a computer simulation and calculation of the optimal motion using a combination of virtual circles, sine and cosine theorem, was done. Further, we checked all relevant angles and calculation of the robotic arm rotation in space for each admissible variant. The last step was the selection of the optimal trajectory of the robotic arm in 3D space.

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Periodical:

Applied Mechanics and Materials (Volume 843)

Pages:

72-80

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.843.72

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Online since:

July 2016

Authors:

Michal Bruzl, Vyacheslav Usmanov, Pavel Svoboda, Rostislav Šulc

Keywords:

Cosine Rules, Dot Product, Mathematical Model, Movement Modelling, Robot, Robotic Arm, Robotics, Simulation, Trajectory

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References

[1] SOKOLOWSKI, JA, BANKS, CM: Modelling and simulation fundamentals. New Jersey: John Wiley & Sons, 2010. 427 p. ISBN 978-0-470-48674-0.

Google Scholar

[2] KLVAŇA, J. Modelling 20: Operations Research. 3rd ed. 246 p. Prague: CTU, 2005. ISBN 80-01-03263-9.

Google Scholar

[3] SVÍTEK, M., Bork, J., VLČEK M .: Modelling of systems and processes. Prague: Czech Technical University in Prague, 2001. 135 pp. ISBN 80-01-02361-3.

Google Scholar

[4] NOSKIEVIČ, P .: Modeling and identification systems. Ostrava: Montanex asOstrava, 1999. 275 pp. ISBN 80-7225-030-2.

Google Scholar

[5] STANĚK M. Application of industrial robots in machining. Brno (2009).

Google Scholar