Abstract
This paper proposes a method to amplify the performance of a flexural-wave-generation system by utilizing the energy-localization characteristics of a phononic crystal (PnC) with a piezoelectric defect and an analytical approach that accelerates the predictions of such wave-generation performance. The proposed analytical model is based on the Euler-Bernoulli beam theory. The proposed analytical approach, inspired by the transfer matrix and S-parameter methods, is used to perform band-structure and time-harmonic analyses. A comparison of the results of the proposed approach with those of the finite element method validates the high predictive capability and time efficiency of the proposed model. A case study is explored; the results demonstrate an almost ten-fold amplification of the velocity amplitudes of flexural waves leaving at a defect-band frequency, compared with a system without the PnC. Moreover, design guidelines for piezoelectric-defect-introduced PnCs are provided by analyzing the changes in wave-generation performance that arise depending on the defect location.
Original language | English |
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Pages (from-to) | 1241-1262 |
Number of pages | 22 |
Journal | Applied Mathematics and Mechanics (English Edition) |
Volume | 44 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2023 |
Keywords
- analytical model
- defect
- flexural wave
- O328
- O346
- phononic crystal (PnC)
- wave-generation