19th International Workshop on Robotics in Alpe-Adria-Danube Region (RAAD 2010) 2010
DOI: 10.1109/raad.2010.5524582
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Matrix formulations for solving the configuration-dependent eigenvalue problem of a two-link flexible manipulator

Abstract: This paper introduces two analytical matrix descriptions of the differential eigenvalue problem concerning each admissible posture of a two-link flexible manipulator. In the hypothesis of the Euler-Bernoulli beam theory, analytical natural frequencies and mode shapes are derived through both formulations, which are obtained according to an axial and transverse dynamic characterization of the manipulator links. As is demonstrated by several simulations, such formulations give identical analytical results, thoug… Show more

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Cited by 2 publications
(2 citation statements)
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“…Piras et al 52 presented an FE analysis of a planar parallel manipulator with flexible links. Di Castri and Messina 53 presented an FE analysis investigating the configuration dependency of a TLFM. Martins et al 54 investigated into the theoretical and experimental comparisons of some modelling methods for flexible manipulators including an AMM model measured based on linear displacements, an AMM model with quadratic displacements, and an FE model.…”
Section: Finite Element Methodsmentioning
confidence: 99%
“…Piras et al 52 presented an FE analysis of a planar parallel manipulator with flexible links. Di Castri and Messina 53 presented an FE analysis investigating the configuration dependency of a TLFM. Martins et al 54 investigated into the theoretical and experimental comparisons of some modelling methods for flexible manipulators including an AMM model measured based on linear displacements, an AMM model with quadratic displacements, and an FE model.…”
Section: Finite Element Methodsmentioning
confidence: 99%
“…Flexible robots are widely used due to increasing industrial productivity, reducing the weight of robots and the need for low energy consumption [3][4] . It's a cable-embedded silicone arm that mimics the motions octopuses use when crawling [5] .…”
Section: Introductionmentioning
confidence: 99%