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

L. Librescu, Sung Soo Na

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

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
Volume17
Issue number4
Publication statusPublished - 1998 Jul 1
Externally publishedYes

Fingerprint

Thin-walled Beam
Forced oscillation
forced vibration
cantilever beams
free vibration
Cantilever
Boundary Control
Cantilever beams
Bending moments
bending moments
Closed-loop
Angular velocity
Harmonic
Excitation
methodology
Feedback control
Moment
Dynamic response
harmonic excitation
Warping

Keywords

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

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Boundary control of free and forced oscillation of shearable thin-walled beam cantilevers. / Librescu, L.; Na, Sung Soo.

In: European Journal of Mechanics, A/Solids, Vol. 17, No. 4, 01.07.1998, p. 687-700.

Research output: Contribution to journalArticle

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