Free vibration of functionally graded piezoelectric hexagonal quasicrystal plates

摘要

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.