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- Title
Dynamic Analysis of Multilayered Piezoelectric Quasicrystal Three-Dimensional Sector Plates with Imperfect Interfaces.
- Authors
Wang, Yuxuan; Feng, Xin; Zhang, Liangliang; Pan, Ernian; Gao, Yang
- Abstract
Piezoelectric quasicrystals have attracted extensive attention due to their unique physical and mechanical properties. This paper studies the dynamic response of multilayered two-dimensional decagonal piezoelectric quasicrystal sector plates with imperfect interfaces. Based on the quasicrystal linear elasticity, partial differential state equations along the thickness direction are derived by using the state-space method. Then, by virtue of the differential quadrature method and the Fourier series expansions, this boundary-value problem with mixed boundary conditions and imperfect interfaces is solved. In addition, via the joint coupling matrix, the field quantities in the interior of the structure are connected to those on the external surfaces with numerical instability. Finally, parameter studies on the effects of angular spans, imperfect interfaces, and mixed boundary conditions are numerically investigated where the dimensionless frequencies and modes are exhibited.
- Subjects
DIFFERENTIAL quadrature method; PARTIAL differential equations; BOUNDARY value problems; STATE-space methods; SEPARATION of variables; PIEZOELECTRIC thin films; MULTILAYERED thin films; FOURIER series
- Publication
Crystals (2073-4352), 2023, Vol 13, Issue 10, p1412
- ISSN
2073-4352
- Publication type
Article
- DOI
10.3390/cryst13101412