Boundary control of free and forced oscillation of shearable thin-walled beam cantilevers

L. Librescu, S. Na

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


This paper deals with the problem of controlling the bending oscillations of cantilevers subjected to harmonic time-dependent excitations and with that of enhancing their eigenvibration response characteristics. The structural model consisting of a thin-walled beam of arbitrary cross-section includes a number of nonclassical effects, such as transverse shear, secondary warping and heterogeneity. The control is achieved via the action of a bending moment applied at the tip of the structure. A dynamic feedback control law relating the boundary bending moment to the angular velocity at the tip of the structure is implemented and its implications upon the closed-loop eigenvalues and dynamic response to harmonic excitations are revealed. A computational methodology based on the extended Galerkin's technique aimed at determining the closed-loop response characteristics is used and numerical results revealing the efficiency of the adopted control methodology are displayed.

Original languageEnglish
Pages (from-to)687-700
Number of pages14
JournalEuropean Journal of Mechanics, A/Solids
Issue number4
Publication statusPublished - 1998
Externally publishedYes


  • Boundary control
  • Closed-loop eigenvalues
  • Oscillation
  • Response
  • Thin-walled beam

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)


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