Transverse surface waves in a layered structure with a functionally graded piezoelectric substrate and a hard dielectric layer |
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Authors: | Zheng-Hua Qian Feng Jin Kikuo Kishimoto |
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Institution: | a Department of Engineering Mechanics/MOE Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an 710049, Shaanxi Province, PR China b Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, Tokyo 152-8552, Japan |
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Abstract: | As to an ideally layered structure with a functionally graded piezoelectric substrate (material parameters change continuously along the thickness direction) and a hard dielectric layer, the existence and propagation behavior of transverse surface waves is studied by analytical technique. The dispersion equations for the existence of the transverse surface waves with respect to phase velocity are obtained for electrically open and short circuit conditions, respectively. A detailed investigation of the effect of gradient coefficient on dispersion relation, electromechanical coupling factor and penetration depth is carried out. It is found by numerical examples that adjusting gradient coefficient makes the electromechanical coupling factor of the transverse surface waves achieve quite high values at some appropriate ratio values of the layer thickness to the wavelength, and at the same time, the penetration depth can be reduced to the same order as the wavelength. |
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Keywords: | Transverse surface waves Layered functionally graded piezoelectric structure Dispersion relation Electromechanical coupling factor |
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