On the vibrations of a mechanically-based non-local beam model

Mario Di Paola, Massimiliano Zingales, Alba Sofi, Giuseppe Failla

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)


    The vibration problem of a Timoshenko non-local beam is addressed. The beam model involves assuming that the equilibrium of each volume element is attained due to contact forces and long-range body forces exerted, respectively, by adjacent and non-adjacent volume elements. The contact forces result in the classical Cauchy stress tensor while the long-range forces are taken as depending on the product of the interacting volume elements and on their relative displacement through a material-dependent distance-decaying function. To derive the motion equations and the related mechanical boundary conditions, the Hamilton's principle is applied
    Original languageEnglish
    Pages (from-to)278-282
    Number of pages5
    JournalComputational Materials Science
    Publication statusPublished - 2012

    All Science Journal Classification (ASJC) codes

    • Computer Science(all)
    • Computational Mathematics
    • Physics and Astronomy(all)
    • Mechanics of Materials
    • Materials Science(all)
    • Chemistry(all)

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