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Free vibration of
functionally graded piezoelectric hexagonal quasicrystal
plates
Jinming Zhang, Liangliang Zhang, Yang Li, Yunzhi Huang, Han Zhang and Yang Gao |
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Vol. 16 (2021), No. 4, 527–542
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Abstract |
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An exact closed-form solution of a free-vibration model of piezoelectric one-dimensional hexagonal quasicrystal plates is derived using the state-vector method and propagator matrix method. Without any simplification, the method proposed is concise for the functionally graded composite structure. The typical natural frequencies and mode shapes of quasicrystal plates are studied. It shows the coupling effect between phason and electric fields with different stacking sequences and the functionally graded characteristics of these composite laminates. The current study results can validate numerical methods’ accuracy and serve as benchmarks for future research of wave behaviors on PQC plates. |
Keywords
piezoelectric quasicrystal plate, free vibration,
state-vector method, functionally graded material
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Milestones
Received: 8 March 2021
Revised: 1 July 2021
Accepted: 29 July 2021
Published: 9 November 2021
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Authors |
| Jinming Zhang | |
| College of Science China Agricultural University Beijing, 100083 China |
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| Liangliang Zhang | |
| College of Science China Agricultural University Beijing, 100083 China |
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| Yang Li | |
| Department of Aerospace Science and
Technology Space Engineering University Beijing, 101416 China |
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| Yunzhi Huang | |
| College of Science China Agricultural University Beijing, 100083 China |
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| Han Zhang | |
| Institute of Acoustics Chinese Academy of Sciences Beijing, 100190 China |
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| Yang Gao | |
| College of Science China Agricultural University Beijing, 100083 China |
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