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Wave Propagation in Functionally Graded Piezoelectric-piezomagnetic Rectangular Rings
Authors:Yuchun Duan  Xiaoming Zhang  Yuqing Wang  Jiangong Yu
Affiliation: Software College, Henan University, KaiFeng, 475001, P.R.China. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003,P.R. China. Corresponding Author. E-mail: zxmworld11@hpu.edu.cn
Abstract:The ring ultrasonic transducers are widely used in the ocean engineering and medical fields. This paper proposes a double orthogonal polynomial series approach to solve the wave propagation problem in a functionally graded piezoelectric-piezomagnetic (FGPP) ring with a rectangular cross-section. Through numerical comparison with the available reference results for a pure elastic homogeneous rectangular bar, the validity of the proposed approach is illustrated. The dispersion curves and displacement distributions of various FGPP rectangular bars are calculated to reveal their wave characteristics. The results can be used for the design and optimization of the ring FGPP transducers.
Keywords:wave propagation  rectangular ring  functionally graded material  piezoelectric-piezomagnetic structures  double orthogonal polynomial  dispersion curves  
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