Abstract
In this work, we propose a mathematical model for a physical problem based on the movement of a metal piece held by a robot. Using the principles of Kirchoff plate theory, a set of equations determining stresses and deformations caused during the motion, have been provided. We also discuss possible numerical treatment of these equations and finally, a solution to the one-dimensional analog of the problem has been presented.
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Acknowledgements
T.B. & O.B. acknowledge the support provided by the EPSRC Centre for Doctoral Training in Industrially Focused Mathematical Modelling (EP/L015803/1). J.R.P. is supported by MINECO (Spain) grant MTM PGC2018-100928-B-I00. S.K. is supported by the grant Severo Ochoa SEV-2017-0718. J.S.-M. acknowledges partial support by MINECO (Spain) grant MTM2017-84214-C2-1-P.
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Babb, T., Benedito, E., Bond, O., Kumar, S., Pacha, J.R., Solà-Morales, J. (2023). Safe Trajectory of a Piece Moved by a Robot. In: Aguareles, M., Font, F., Myers, T., Pellicer, M., Solà-Morales, J. (eds) Applications of Industrial Mathematics. ESGI 2020. RSME Springer Series, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-031-32130-6_2
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DOI: https://doi.org/10.1007/978-3-031-32130-6_2
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