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