Dispersion and Attenuation Characteristics of Fractional-Order Thermoelastic Guided Waves in Functionally Graded Piezoelectric Hollow Cylinders

YU Jiangong; WANG Kai; REN Xiaoqiang; WANG Xianhui; ZHANG Bo

doi:10.21656/1000-0887.440144

Volume 44 Issue 11

Nov. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(11): 1325-1340

YU Jiangong, WANG Kai, REN Xiaoqiang, WANG Xianhui, ZHANG Bo. Dispersion and Attenuation Characteristics of Fractional-Order Thermoelastic Guided Waves in Functionally Graded Piezoelectric Hollow Cylinders[J]. Applied Mathematics and Mechanics, 2023, 44(11): 1325-1340. doi: 10.21656/1000-0887.440144

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Dispersion and Attenuation Characteristics of Fractional-Order Thermoelastic Guided Waves in Functionally Graded Piezoelectric Hollow Cylinders

doi: 10.21656/1000-0887.440144

School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, Henan 454000, P.R.China

Received Date: 2023-05-11
Rev Recd Date: 2023-08-21
Publish Date: 2023-11-01

Abstract

Abstract

Based on the fractional-order thermo-electric-elastic theory and the Legendre polynomial series method, a mathematical model for guided wave propagation in functionally graded hollow cylinders was established. The effects of the fractional order, the piezoelectric effect, and the radius-thickness ratio on the wave propagation, especially on its attenuation, were discussed. The numerical analysis results indicate that, the piezoelectric effect on attenuation mainly concentrates near the cutoff frequency and the mutation frequency, and causes the mutation frequency to shift forward. The fractional order has a great impact on the phase velocity and attenuation of the thermal wave mode, and has an opposite impact on the phase velocity around the crossover frequency point where the crossover mode occurs with the thermal wave velocity. But the thermal wave attenuation gradually decreases with the fractional order. Meanwhile, the 1st longitudinal mode attenuation is suppressed by the piezoelectric effect. However, the attenuation of other modes significantly increases, and the impact of the electrical open circuit is greater than that of the electrical short circuit.
- guided wave,
- fractional-order thermo-electric-elastic,
- functionally graded hollow cylinder,
- dispersion,
- attenuation

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References

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