Finite Element Modeling for Free Vibration Control of Beam Structures using Piezoelectric Sensors and Actuators

압전감지기와 압전작동기를 이용한 보구조물의 자유진동제어에 대한 유한요소 모형화

  • 송명관 ((주)유신코퍼레이션 구조연구실) ;
  • 한인선 (한국과학기술원 건설 및 환경공학) ;
  • 김선훈 (영동대학교 건설공학부 토목공학) ;
  • 최창근 (한국과학기술원 건설 및 환경공학과)
  • Published : 2003.04.01

Abstract

In this study, the method of the finite element modeling for free vibration control of beam-type smart structures with bonded plate-type piezoelectric sensors and actuators is proposed. Constitutive equations for the direct piezoelectric effect and converse piezoelectric effect of piezoelectric materials are considered. By using the variational principle, the equations of motion for the smart beam finite element are derived, The proposed 2-node beam finite element is an isoparametric element based on Timoshenko beam theory. Therefore, by analyzing beam-type smart structures with smart beam finite elements, it is possible to simulate the control of the structural behavior by applying voltages to piezoelectric actuators and monitoring of the structural behavior by sensing voltages of piezoelectric sensors. By using the smart beam finite element and constant-gain feed back control scheme, the formulation of the free vibration control for the beam structures with bonded plate-type piezoelectric sensors and actuators is proposed.

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