Thickness-shear and thickness-twist modes in an oblate elliptical ceramic cylinder and energy trapping in contoured acoustic wave resonators

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He, Huijing; Yang, Jiashi; Huang, Yi-hua
piezoelectric ceramic; elliptical cylinder; energy trapping; Engineering Science and Materials; Mechanical Engineering; Mechanics of Materials; Nanoscience and Nanotechnology; Other Engineering Science and Materials; Other Mechanical Engineering
article description
We study shear-horizontal motions of a piezoelectric ceramic cylinder with an oblate elliptical cross section and axial poling. Exact thickness-shear and thickness-twist vibration modes are obtained. These modes show energy trapping, i.e., the vibration is mainly confined near the thick, central region and decays to almost nothing near the edges. The results are useful for the understanding and design of contoured piezoelectric resonators for strong energy trapping.