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Wave Propagation in Functionally Graded Piezoelectric-piezomagnetic Rectangular Rings

Yuchun Duan1, Xiaoming Zhang2,3, Yuqing Wang2, Jiangong Yu2

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:

Computers, Materials & Continua 2014, 43(3), 153-174.


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.


Cite This Article

Y. . Duan, X. . Zhang, Y. . Wang and J. . Yu, "Wave propagation in functionally graded piezoelectric-piezomagnetic rectangular rings," Computers, Materials & Continua, vol. 43, no.3, pp. 153–174, 2014.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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