Wave Propagation in Functionally Graded Piezoelectric Nanoshells

WANG Xinte; LIU Juan; HU Biao; ZHANG Bo; SHEN Huoming

doi:10.21656/1000-0887.440057

Volume 45 Issue 2

Feb. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(2): 197-207

WANG Xinte, LIU Juan, HU Biao, ZHANG Bo, SHEN Huoming. Wave Propagation in Functionally Graded Piezoelectric Nanoshells[J]. Applied Mathematics and Mechanics, 2024, 45(2): 197-207. doi: 10.21656/1000-0887.440057

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Wave Propagation in Functionally Graded Piezoelectric Nanoshells

doi: 10.21656/1000-0887.440057

School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 611756, P.R.China

Received Date: 2023-03-06
Rev Recd Date: 2023-05-03
Publish Date: 2024-02-01

Abstract

Abstract

The waves propagation characteristics in porous functionally graded piezoelectric nanoshells were investigated based on the nonlocal strain gradient theory. The governing equations were developed under Hamilton's principle and the 1st-order shear theory. The scale-dependent characteristic equations were obtained through combination of the nonlocal strain gradient theory and the harmonic solutions. The effects of the scale parameter, the wave number, the gradient index, the thickness, the porosity and the voltage on the wave propagation characteristics were discussed numerically. The results show that, the influences of the nonlocal parameter and the strain gradient parameter on the wave propagation frequency are closely related to the wave number, and the larger the wave number is in a certain range, the greater the influence of scale parameters on the frequency will be. In addition, the porosity and the gradient index have a coupling effect on the frequency.
- piezoelectric nanoshell,
- wave propagation,
- nonlocal strain gradient theory,
- functionally graded

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References(29)

References

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