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A fractional derivative model for single-link mechanism vibration

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Abstract

A model for a flexible pinned-free link is defined, which is based on a set of linear uncoupled equations and which is even valid for large rotations. A stress-strain relationship based on fractional derivatives is used to define the material properties. Experimental findings and numerical results are compared.

Sommario

Viene definito un modello matematico lineare per lo studio della dinamica di un meccanismo a membro unico deformabile. Tale modello é costituito da equazioni disaccoppiate che rappresentano sia il moto del corpo rigido di riferimento sia i contributi modali alla vibrazione. La relazione tensione deformazione del materiale considerato é definita a mezzo di derivoidi. I risultati ottenuti numericamente sono confrontati con registrazioni sperimentali.

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Authors and Affiliations

  1. Istituto di Meccanica Teorica e Applicata, Università di Udine, Via Fagagna 208, Polo Rizzi, 33100, Udine, Italy

    M. Giovagnoni

  2. Dipartimento di Innovazione Meccanica e Gestionale, Università di Padova, Via Venezia 1, 35100, Padova, Italy

    G. Berti

Authors
  1. M. Giovagnoni
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  2. G. Berti
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Giovagnoni, M., Berti, G. A fractional derivative model for single-link mechanism vibration. Meccanica 27, 131–138 (1992). https://doi.org/10.1007/BF00420591

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  • DOI: https://doi.org/10.1007/BF00420591

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