Analytical solution for the magneto-electro-elastic bimorph beam forced vibrations problem

Orlando, C; Alaimo, A

    Risultato della ricerca: Articlepeer review

    45 Citazioni (Scopus)

    Abstract

    Based on the Timoshenko beam theory and on the assumption that the electric and magnetic fields can be treated as steady, since elastic waves propagate very slowly with respect to electromagnetic ones, a general analytical solution for the transient analysis of a magneto-electro-elastic bimorph beam is obtained. General magneto-electric boundary conditions can be applied on the top and bottom surfaces of the beam, allowing us to study the response of the bilayer structure to electromagnetic stimuli. The model reveals that the magneto-electric loads enter the solution as an equivalent external bending moment per unit length and as time-dependent mechanical boundary conditions through the definition of the bending moment. Moreover, the influences of the electro-mechanic, magneto-mechanic and electromagnetic coupling on the stiffness of the bimorph stem from the computation of the beam equivalent stiffness constants. Free and forced vibration analyses of both multiphase and laminated magneto-electro-elastic composite beams are carried out to check the effectiveness and reliability of the proposed analytic solution.
    Lingua originaleEnglish
    pagine (da-a)-
    Numero di pagine14
    RivistaSmart Materials and Structures
    Volume2009
    Stato di pubblicazionePublished - 2009

    All Science Journal Classification (ASJC) codes

    • Signal Processing
    • Materials Science(all)
    • Mechanics of Materials
    • Condensed Matter Physics
    • Civil and Structural Engineering
    • Atomic and Molecular Physics, and Optics
    • Electrical and Electronic Engineering

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