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.
@article{arxiv.2011.03330,
title = {Safe trajectory of a piece moved by a robot},
author = {Ernest Benedito and Oliver Bond and Thomas Babb and Juan R. Pacha and Sandeep Kumar and Joan Solà-Morales},
journal= {arXiv preprint arXiv:2011.03330},
year = {2020}
}