• DocumentCode
    3505738
  • Title

    Rayleigh model ofvibrations of N-stepped bar

  • Author

    Fedotov, Igor ; Gai, Ying ; Joubert, Stephan V. ; Shatalov, Michael

  • Author_Institution
    Dept. of Math. Technol., Tshwane Univ. of Technol., Pretoria
  • Volume
    0
  • fYear
    2005
  • fDate
    May 28 2005-June 1 2005
  • Firstpage
    73
  • Lastpage
    80
  • Abstract
    In this paper we consider a model of an N-stepped bar. It is assumed that the longitudinal vibrations in each section of the thick bar is described by a fourth order Rayleigh equation. The analytical tools of vibration analysis are based on finding eigenfunctions with piecewise continuous derivatives, which are orthogonal with respect, to a specially chosen weight function. The solution of the problem is formulated in terms of Green function
  • Keywords
    Green´s function methods; bars; eigenvalues and eigenfunctions; vibrations; Green function; N-stepped bar vibrations; Rayleigh model; eigenfunctions; fourth order Rayleigh equation; piecewise continuous derivatives; vibration analysis; Africa; Bars; Boundary conditions; Eigenvalues and eigenfunctions; Electronic mail; Equations; Green function; Piezoelectric transducers; RLC circuits; Resonance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction, 2005. DD 2005. Proceedings of the International Conference
  • Conference_Location
    St.Petersburg
  • Print_ISBN
    5-9651-0140-6
  • Type

    conf

  • DOI
    10.1109/DD.2005.204881
  • Filename
    1613388
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3505738