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    • Keywords


      Boundary stabilization; Euler-Bernoulli beam equation; hybrid system; small deflection; exponential energy decay

    • Abstract


      We consider a problem of boundary stabilization of small flexural vibrations of a flexible structure modeled by an Euler-Bernoulli beam which is held by a rigid hub at one end and totally free at the other. The hub dynamics leads to a hybrid system of equations. By incorporating a condition of small rate of change of the deflection with respect tox as well ast, over the length of the beam, for appropriate initial conditions, uniform exponential decay of energy is established when a viscous boundary damping is present at the hub end.

    • Author Affiliations


      Ganesh C Gorain1 Sujit K Bose1 2

      1. Department of Mathematics, J.K. College, Purulia - 723101, India
      2. S.N. Bose National Centre for Basic Sciences, Block-JD, Sector III, Salt Lake, Calcutta - 700091, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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