Journal
MATERIALS
Volume 15, Issue 9, Pages -Publisher
MDPI
DOI: 10.3390/ma15093157
Keywords
piezoelectric quasicrystals; circular actuator; axisymmetric bending; state space method; exact solution
Categories
Funding
- Scientific Research Fund of Liaoning Provincial Education Department [L2019006]
- National Natural Science Foundation of China [12102481, 11972365]
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The piezoelectric effect in piezoelectric quasicrystalline materials is induced by both phonon and phason fields. These materials have excellent properties and are expected to be used as actuators in various industries. This study derived the state space equation for axisymmetric piezoelectric quasicrystal circular plate actuators using three-dimensional elastic theory. The exact solution for the bending behavior of these actuators was then obtained using the propagator matrix method.
The piezoelectric effect of piezoelectric quasicrystalline materials is coexcited by phonon and phason fields. Piezoelectric quasicrystalline materials have excellent properties of both piezoelectric materials and quasicrystalline materials, which are expected to be used as actuators in the fields of aerospace, automotive, and intelligent manufacturing. Based on the three-dimensional elastic theory of piezoelectric quasicrystals, the state space equation for axisymmetric piezoelectric quasicrystal circular plate actuators is derived by using the state space method. Afterwards, the finite Hankel transformation is performed on the state equation, and a system of ordinary differential equations and corresponding boundary conditions are obtained. Finally, the exact solution of axisymmetric bending of one-dimensional hexagonal piezoelectric quasicrystal circular actuators under generalized elastic simply supported boundary conditions is obtained by using the propagator matrix method. Numerical results are given to compare the degradation results in this paper with those in the literature, and present the influences of the thickness-to-span ratio and stacking sequence on the phonon, phason, and electric fields when the surface of the laminated circular actuators is subjected to mechanical load. The exact solution obtained does not introduce any deformation assumption; therefore, the exact solution can provide references for numerical calculations of the mechanical behavior of piezoelectric quasicrystals.
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