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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 79
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and C.A. Mota Soares
Paper 1
Control of Thermally-Induced Vibrations in a Composite Beam F. Ashida+ and T.R. Tauchert*
+Department of Electronic and Control Systems Engineering, Shimane University, Japan
Full Bibliographic Reference for this paper
F. Ashida, T.R. Tauchert, "Control of Thermally-Induced Vibrations in a Composite Beam", in B.H.V. Topping, C.A. Mota Soares, (Editors), "Proceedings of the Seventh International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 1, 2004. doi:10.4203/ccp.79.1
Keywords: vibration control, composite beam, thermal loading, piezoelectric actuation.
Summary
Numerous studies have demonstrated the feasibility of suppressing structural
deformation through application of an appropriate electric field to piezoelectric
elements incorporated within the structure. The present authors [1,2], for
example, studied control of forced vibrations of layered beams and plates
subject to rapidly applied thermal and/or mechanical disturbances. It is shown in [2]
that the induced deflections in a structure can be reduced significantly if
constant amplitude electric pulses are applied to piezoelectric layers when the
uncontrolled deflections reach peak values and discontinued after one-half the
fundamental period of vibration. All layers of the structure were assumed to
have identical thermal properties, and the amplitudes of the electric pulses used
to control the response were determined by trial-and-error. The present paper
extends the authors' earlier works by considering a simply-supported composite
beam in which the thermal properties of a structural layer differ from those of
the adjacent piezoelectric layers. An optimization procedure is employed to
determine the characteristics of applied electric pulses for optimum vibration
control.
The beam under consideration consists of a central thermoelastic structural
layer onto which two outer piezothermoelastic layers are perfectly bonded. The
bottom free surface of the beam is subject to a sudden temperature rise, while
the top free surface is thermally insulated. The resulting transient temperature
field produces a thermal moment
The Laplace transform technique is employed, first to solve the transient heat
conduction problem for the temperature field throughout the beam, and secondly
to solve the equation of motion for the transverse beam deflection. The resulting
deflection
The conditions imposed in order to suppress the thermoelastic vibration
displacement The proposed control strategy is applied to a beam consisting of an aluminum host layer and PZT piezoceramic layers. Numerical results show that the vibrations induced by a sudden temperature rise on the surface of the beam are virtually eliminated when the pulse parameters established in this paper are utilized. References
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