Abstract
Axisymmetric vibration of an infinite piezolaminated multilayer hollow cylinder made of piezoelectric layers of 6 mm class and an isotropic LEMV (Linear Elastic Materials with Voids) layers is studied. The frequency equations are obtained for the traction free outer surface with continuity conditions at the interfaces. Numerical results are carried out for the inner, middle, and outer hollow piezoelectric layers bonded by LEMV (It is hypothetical material) layers and the dispersion curves are compared with that of a similar 3-layer model and of 3 and 5 layer models with inner, middle, and outer hollow piezoelectric layers bonded by CFRP (Carbon fiber reinforced plastics).
Highlights
Piezocomposite materials have drawn considerable attention in recent years due to their potential application in ultrasonic and underwater transducers 1, 2
A general frequency equation is derived for axisymmetric vibration of an infinite laminated hollow cylinder
Piezocomposite Cylindrical Models A three-layered Piezocomposite solid/hollow cylinder made of Cermaic-1/Adhesive/ Ceramic-2 and a five-layered Piezocomposite solid cylinder made of Cermaic-1/Adhesive1/ Ceramic-2/Adhesive2/Ceramic-3 considered for deriving frequency equations in various types of vibrations Figure 1
Summary
Piezocomposite materials have drawn considerable attention in recent years due to their potential application in ultrasonic and underwater transducers 1, 2. Multilayer piezoelectric ceramic displacement actuator is a typical smart composite structure and has wide application in precise apparatus 17, 18. Damage detection and vibration control of a new smart board designed by mounting piezoelectric fibers with metal cores on the surface of a CFRP composite were studied by Takagi et al 19. Paul and Nelson [22,23,24,25] have studied free vibration of piezocomposite plate and cylinders by embedding LEMV-layer between piezoelectric layers. A general frequency equation is derived for axisymmetric vibration of an infinite laminated hollow cylinder. Both the inner and outer surfaces are traction free and connected with electrodes and are shorted. The attenuation effect is considered through the imaginary part of the dimensionless complex frequency Sinha et al 26
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