In this paper, a very easy, numerically stable and computationally efficient method is presented, which allows the modeling and simulation of a flexible robot with high precision. The proposed method is developed under the hypotheses of flexible links having varying cross sections, of large link deformations and of time-varying geometrical and/or physical parameters of both the robot and the end-effector. This methodology uses the same approach of the modeling of rigid robots, after suitably and fictitiously subdividing each link of the robot into sublinks, rigid to the aim of the calculus of the inertia matrix and flexible to the aim of the calculus of the elastic matrix. The static and dynamic precision of the method is proved with interesting theorems, examples and some experimental tests. Finally, the method is used to model, control, and simulate a crane, composed of three flexible links and a cable with varying length, carrying a body with a variable mass.
Modeling of Flexible Robots With Varying Cross Section and Large Link Deformations
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received March 3, 2015; final manuscript received November 26, 2015; published online December 28, 2015. Assoc. Editor: Dejan Milutinovic.
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Celentano, L. (December 28, 2015). "Modeling of Flexible Robots With Varying Cross Section and Large Link Deformations." ASME. J. Dyn. Sys., Meas., Control. February 2016; 138(2): 021010. https://doi.org/10.1115/1.4032133
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