TY - EJOU AU - Duan, Yuchun AU - Zhang, Xiaoming AU - Wang, Yuqing AU - Yu, Jiangong TI - Wave Propagation in Functionally Graded Piezoelectric-piezomagnetic Rectangular Rings T2 - Computers, Materials \& Continua PY - 2014 VL - 43 IS - 3 SN - 1546-2226 AB - 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. KW - wave propagation KW - rectangular ring KW - functionally graded material KW - piezoelectric-piezomagnetic structures KW - double orthogonal polynomial KW - dispersion curves DO - 10.3970/cmc.2014.043.153