Fractional mechanical model for the dynamics of non-local continuum

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26 Citazioni (Scopus)

Abstract

In this chapter, fractional calculus has been used to account for long-range interactions between material particles. Cohesive forces have been assumed decaying with inverse power law of the absolute distance that yields, as limiting case, an ordinary, fractional differential equation. It is shown that the proposed mathematical formulation is related to a discrete, point-spring model that includes non-local interactions by non-adjacent particles with linear springs with distance-decaying stiffness. Boundary conditions associated to the model coalesce with the well-known kinematic and static constraints and they do not run into divergent behavior. Dynamic analysis has been conducted and both model shapes and natural frequency of the non-local systems are then studied.
Lingua originaleEnglish
Titolo della pubblicazione ospiteAdvances in Numerical Methods
Pagine389-423
Numero di pagine34
Stato di pubblicazionePublished - 2009

Serie di pubblicazioni

NomeLECTURE NOTES IN ELECTRICAL ENGINEERING

All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering

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