Abstract
Analysis of robot dynamics based motion planning is presented in the chapter. Motion of a robot is task based and is formulated upon work dedicated to it. The focus of motion planning is positioning and velocity of the robot end-effector, which are programmed by position and kinematic constraint equations. The constraints are incorporated into the system dynamics, referred to as reference dynamics, whose outputs deliver position and velocity time histories of the end-effector and joints. A special computational procedure for the constrained dynamics generation enables development of the reference dynamics for rigid and flexible system models such that vibration, allowable velocity profiles for robot joints and other programmed motion kinematic properties can be analyzed. This analysis enables planning feasible tasks for robots and design controllers for vibration compensation.
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References
A.A. Ata, H. Johar, Dynamic simulation of task constrained of a rigid-flexible manipulator. Int. J. Adv. Robot. Syst. 1(2), 61–66 (2004)
A.A. Ata, W.F. Faresb, M.Y. Sadeh, Dynamic analysis of a two-link flexible manipulator subject to different sets of conditions. Procedia Eng. 41, 1253–1260 (2012)
K. Augustynek, A. Urbaś, Two approaches of the rigid finite element method to modelling the flexibility of spatial linkage links, in Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics, Prague, 19–22 June 2017
J.W. Baumgarte, Stabilization of constraints and integrals of motion in dynamical systems. Comput. Methods Appl. Mech. Eng. 1(1), 1–16 (1972)
E. Jarzębowska, K. Augustynek, A. Urbaś, Automated generation of reference dynamical models for constrained robotic systems in the presence of friction and damping effects, in Concurrency and Computation: Practice and Experience (2018). https://doi.org/10.1002/cpe.4452.25
E. Jarzębowska, K. Augustynek, A. Urbaś, Computational reference dynamical model of a multibody system with first order constraints, in Proceedings ASME Design Engineering Technical Conference, No. UNSP V006T10A016 (2017)
E. Jarzębowska, K. Augustynek, A. Urbaś, Programmed task based motion analysis of robotic systems equipped with flexible links and supports, in MATEC Web of Conferences, vol. 241, No. 01008, 1–4 (2018). https://doi.org/10.1051/matecconf/201824101008
J. Moreno, R. Kelly, Velocity control of robot manipulators: analysis and experiments. Int. J. Control 76(14), 1420–1427 (2003)
A. Urbaś, Computational implementation of the rigid finite element method in the statics and dynamics analysis of forest cranes. Appl. Math. Model. 46, 750–762 (2017). https://doi.org/10.1016/j.apm.2016.08.006
E. Wittbrodt, M. Szczotka, A. Maczyński, S. Wojciech, Rigid Finite Element Method in Analysis of Dynamics of Offshore Structures (Ocean Engineering & Oceanography. Springer, Berlin, Heidelberg, 2013)
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Jarzębowska, E., Augustynek, K., Urbaś, A. (2019). Reference Dynamics Based Motion Planning for Robotic Systems with Flexible Components. In: Belhaq, M. (eds) Topics in Nonlinear Mechanics and Physics. Springer Proceedings in Physics, vol 228. Springer, Singapore. https://doi.org/10.1007/978-981-13-9463-8_5
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DOI: https://doi.org/10.1007/978-981-13-9463-8_5
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