Active boundary control of elastic cables: Theory and experiment

C. F. Baicu, Christopher D. Rahn, B. D. Nibali

Research output: Contribution to journalArticlepeer-review

67 Scopus citations

Abstract

Cables are lightweight structural elements used in a variety of engineering applications. In this paper an active boundary control system is introduced that damps undesirable vibrations in a cable. Using Hamilton's principle, the governing non-linear partial differential equations for an elastic cable are derived, including the natural boundary conditions associated with boundary force control. Based on Lyapunov theory, passive and active vibration controllers are developed. A Galerkin approach generates the linearized, closed loop, modal dynamics equations for out-of-plane vibration. Simulations and experiments demonstrate the improved damping provided by the active boundary controller.

Original languageEnglish (US)
Pages (from-to)17-26
Number of pages10
JournalJournal of Sound and Vibration
Volume198
Issue number1
DOIs
StatePublished - Nov 21 1996

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

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