Techno Press


Structural Engineering and Mechanics   Volume 19, Number 5, March30 2005, pages 477-501
DOI: http://dx.doi.org/10.12989/sem.2005.19.5.477
 
Control of free vibration with piezoelectric materials: Finite element modeling based on Timoshenko beam theory
Myung-Kwan Song, Hyuk-Chun Noh, Sun-Hoon Kim and In-Seon Han

 
Abstract     [Full Text]
    In this study, a new smart beam finite element is proposed for the finite element modeling of beam-type smart structures that are equipped with bonded plate-type piezoelectric sensors and actuators. Constitutive equations for the direct piezoelectric effect and converse piezoelectric effect of piezoelectric materials are considered in the formulation. By using a 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. The proposed smart beam finite element is applied to the free vibration control adopting a constant gain feedback scheme. The electrical force vector, which is obtained in deriving an equation of motion, is the control force equivalent to that in existing literature. Validity of the proposed element is shown through comparing the analytical results of the verification examples with those of other previous researchers. With the use of smart beam finite elements, simulation of free vibration control is demonstrated by sensing the voltage of the piezoelectric sensors and by applying the voltages to the piezoelectric actuators.
 
Key Words
    piezoelectric materials; piezoelectric sensor; piezoelectric actuator; Timoshenko beam theory; free vibration control.
 
Address
Myung-Kwan Song; Department of Civil Engineering, The University of Tokyo, Tokyo 113-8656, Japan
Hyuk-Chun Noh; Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY 10027, U.S.A.
Sun-Hoon Kim; Department of Civil Engineering, Youngdong University, Chungbuk 370-701, Korea
In-Seon Han; Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea
 

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