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1 2018

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Planning task-based motions of multi-link manipulator models prone to vibration

Jarzębowska E., Augustynek K., Urbaś A.

Vibrations in Physical Systems

2018

Vol. 29

art. no. 2018029

A new method of designing tip-point trajectories for industrial manipulators with structural flexibility and friction in their supports and joints is presented in the paper. The method is based upon the formulation of the reference dynamics model of the manipulator model. The reference dynamics models are derived off-line for desired trajectories, i.e. trajectory patterns are delivered in constraint equation forms. A library of reference dynamics models can be generated off-line and serve for verification of desired motions feasibility, ability of reaching required velocities and accelerations in order to obtain the desired trajectories, and estimate power needed for desired motions execution. It enables off-line tests of a system model behavior when it moves a desired trajectory. Also, the reference dynamics enables verification of vibrations that may accompany desired motions, since at the stage of defining a desired trajectory, e.g. for performing a servicing task, a system behavior is unknown. The paper is dedicated to reference dynamics analysis, for a multi-link manipulator model, for which friction in joints is modeled by the LuGre model, the manipulator links are rigid but light and prone to vibrations. The results of the reference dynamics analysis are presented in a series of simulation studies.