Three-Dimensional Axisymmetric Analysis of Annular One-Dimensional Hexagonal Piezoelectric Quasicrystal Actuator/Sensor with Different Configurations
The presented article is about the axisymmetric deformation of an annular one-dimensional hexagonal piezoelectric quasicrystal actuator/sensor with different configurations, analyzed by the three-dimensional theory of piezoelectricity coupled with phonon and phason fields. The state space method is...
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MDPI AG
2024-11-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/14/11/964 |
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| author | Yang Li Yang Gao |
| author_facet | Yang Li Yang Gao |
| author_sort | Yang Li |
| collection | DOAJ |
| description | The presented article is about the axisymmetric deformation of an annular one-dimensional hexagonal piezoelectric quasicrystal actuator/sensor with different configurations, analyzed by the three-dimensional theory of piezoelectricity coupled with phonon and phason fields. The state space method is utilized to recast the basic equations of one-dimensional hexagonal piezoelectric quasicrystals into the transfer matrix form, and the state space equations of a laminated annular piezoelectric quasicrystal actuator/sensor are obtained. By virtue of the finite Hankel transform, the ordinary differential equations with constant coefficients for an annular quasicrystal actuator/sensor with a generalized elastic simple support boundary condition are derived. Subsequently, the propagator matrix method and inverse Hankel transform are used together to achieve the exact axisymmetric solution for the annular one-dimensional hexagonal piezoelectric quasicrystal actuator/sensor. Numerical illustrations are presented to investigate the influences of the thickness-to-span ratio on a single-layer annular piezoelectric quasicrystal actuator/sensor subjected to different top surface loads, and the effect of material parameters is also presented. Afterward, the present model is applied to compare the performance of different piezoelectric quasicrystal actuator/sensor configurations: the quasicrystal multilayer, quasicrystal unimorph, and quasicrystal bimorph. |
| format | Article |
| id | doaj-art-490caecc085e4e5785fb35b5a8b85f64 |
| institution | Kabale University |
| issn | 2073-4352 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj-art-490caecc085e4e5785fb35b5a8b85f642024-11-26T17:58:39ZengMDPI AGCrystals2073-43522024-11-01141196410.3390/cryst14110964Three-Dimensional Axisymmetric Analysis of Annular One-Dimensional Hexagonal Piezoelectric Quasicrystal Actuator/Sensor with Different ConfigurationsYang Li0Yang Gao1Department of Aerospace Science and Technology, Space Engineering University, Beijing 101416, ChinaCollege of Science, China Agricultural University, Beijing 100083, ChinaThe presented article is about the axisymmetric deformation of an annular one-dimensional hexagonal piezoelectric quasicrystal actuator/sensor with different configurations, analyzed by the three-dimensional theory of piezoelectricity coupled with phonon and phason fields. The state space method is utilized to recast the basic equations of one-dimensional hexagonal piezoelectric quasicrystals into the transfer matrix form, and the state space equations of a laminated annular piezoelectric quasicrystal actuator/sensor are obtained. By virtue of the finite Hankel transform, the ordinary differential equations with constant coefficients for an annular quasicrystal actuator/sensor with a generalized elastic simple support boundary condition are derived. Subsequently, the propagator matrix method and inverse Hankel transform are used together to achieve the exact axisymmetric solution for the annular one-dimensional hexagonal piezoelectric quasicrystal actuator/sensor. Numerical illustrations are presented to investigate the influences of the thickness-to-span ratio on a single-layer annular piezoelectric quasicrystal actuator/sensor subjected to different top surface loads, and the effect of material parameters is also presented. Afterward, the present model is applied to compare the performance of different piezoelectric quasicrystal actuator/sensor configurations: the quasicrystal multilayer, quasicrystal unimorph, and quasicrystal bimorph.https://www.mdpi.com/2073-4352/14/11/964piezoelectric quasicrystalsannular actuator/sensoraxisymmetric analysisstate space method |
| spellingShingle | Yang Li Yang Gao Three-Dimensional Axisymmetric Analysis of Annular One-Dimensional Hexagonal Piezoelectric Quasicrystal Actuator/Sensor with Different Configurations Crystals piezoelectric quasicrystals annular actuator/sensor axisymmetric analysis state space method |
| title | Three-Dimensional Axisymmetric Analysis of Annular One-Dimensional Hexagonal Piezoelectric Quasicrystal Actuator/Sensor with Different Configurations |
| title_full | Three-Dimensional Axisymmetric Analysis of Annular One-Dimensional Hexagonal Piezoelectric Quasicrystal Actuator/Sensor with Different Configurations |
| title_fullStr | Three-Dimensional Axisymmetric Analysis of Annular One-Dimensional Hexagonal Piezoelectric Quasicrystal Actuator/Sensor with Different Configurations |
| title_full_unstemmed | Three-Dimensional Axisymmetric Analysis of Annular One-Dimensional Hexagonal Piezoelectric Quasicrystal Actuator/Sensor with Different Configurations |
| title_short | Three-Dimensional Axisymmetric Analysis of Annular One-Dimensional Hexagonal Piezoelectric Quasicrystal Actuator/Sensor with Different Configurations |
| title_sort | three dimensional axisymmetric analysis of annular one dimensional hexagonal piezoelectric quasicrystal actuator sensor with different configurations |
| topic | piezoelectric quasicrystals annular actuator/sensor axisymmetric analysis state space method |
| url | https://www.mdpi.com/2073-4352/14/11/964 |
| work_keys_str_mv | AT yangli threedimensionalaxisymmetricanalysisofannularonedimensionalhexagonalpiezoelectricquasicrystalactuatorsensorwithdifferentconfigurations AT yanggao threedimensionalaxisymmetricanalysisofannularonedimensionalhexagonalpiezoelectricquasicrystalactuatorsensorwithdifferentconfigurations |