• Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/109/04/0411-0416

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.