Analytical and semi-analytical solutions for vibration control of a cantilevered column using a piezoelectric actuator

Yaowen Yang*, Changkuan Ju, Chee Kiong Soh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

In this paper, a cantilevered column bonded with a piezoelectric layer, which is employed as an actuator, is investigated. Firstly, the differential equation governing the transverse deflection of the column, in the presence of external axial loads, is derived. Then, two feedback control strategies, namely, displacement feedback control and velocity feedback control, are designed to control the vibration of the column. The analytical and semi-analytical solutions for the governing equations are deduced for these two control strategies, respectively. The closed-form formulae obtained are illustrated using a numerical example. In the example, the vibration characteristics of a cantilevered steel column bonded with a polyvinylidene fluoride layer are computed. The numerical results show that the designed velocity feedback control method provided satisfactory vibration control by damping out the vibration of the structure with an acceptable feedback voltage, while the displacement feedback control method was unable to do this.

Original languageEnglish
Pages (from-to)193-203
Number of pages11
JournalSmart Materials and Structures
Volume12
Issue number2
DOIs
Publication statusPublished - Apr 2003
Externally publishedYes

ASJC Scopus Subject Areas

  • Signal Processing
  • Civil and Structural Engineering
  • Atomic and Molecular Physics, and Optics
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Electrical and Electronic Engineering

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