Vol. 16, No. 4, 2021

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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

Vol. 16 (2021), No. 4, 527–542

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.

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piezoelectric quasicrystal plate, free vibration, state-vector method, functionally graded material
Received: 8 March 2021
Revised: 1 July 2021
Accepted: 29 July 2021
Published: 9 November 2021
Jinming Zhang
College of Science
China Agricultural University
Beijing, 100083
Liangliang Zhang
College of Science
China Agricultural University
Beijing, 100083
Yang Li
Department of Aerospace Science and Technology
Space Engineering University
Beijing, 101416
Yunzhi Huang
College of Science
China Agricultural University
Beijing, 100083
Han Zhang
Institute of Acoustics
Chinese Academy of Sciences
Beijing, 100190
Yang Gao
College of Science
China Agricultural University
Beijing, 100083