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Cited article:

A new equivalent circuit for piezoelectrics with three losses and external loads

Xiaoxiao Dong, Maryam Majzoubi, Minkyu Choi, et al.
Sensors and Actuators A: Physical 256 77 (2017)
https://doi.org/10.1016/j.sna.2016.12.026

Characteristic analysis and shape optimal design of a ring-type traveling wave ultrasonic motor

Jong-Suk Ro, Kyung-Pyo Yi, Tae-Kyung Chung and Hyun-Kyo Jung
The European Physical Journal Applied Physics 63 (1) 10901 (2013)
https://doi.org/10.1051/epjap/2013130069