 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| Tongtong An, Zhiqiang Sun, Guolin Hou, and Yanfen Qiao, "Symplectic Elasticity Approach for the Anti-Plane Problem of One-Dimensional Hexagonal Piezoelectric Quasicrystal Plates," Mech. Solids. 58 (9), 3263-3275 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
9 |
Pages |
3263-3275 |
| DOI |
10.3103/S0025654423601684 |
| Title |
Symplectic Elasticity Approach for the Anti-Plane Problem of One-Dimensional Hexagonal Piezoelectric Quasicrystal Plates |
| Author(s) |
Tongtong An (School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021 China)
Zhiqiang Sun (School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021 China)
Guolin Hou (School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021 China, smshgl@imu.edu.cn)
Yanfen Qiao (School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021 China, yanfenqiao@mail.imu.edu.cn) |
| Abstract |
This paper presents the analytical solutions for the anti-plane problem in one-dimensional
hexagonal piezoelectric quasicrystal plates using the symplectic elasticity approach. The equilibrium
equations with body forces are transformed into the Hamiltonian system using the variational principle, and then the corresponding Hamiltonian operator matrix is derived. Furthermore, the completeness of the eigenfunction system of the operator is proved, and the general solutions to the problem are
given by utilizing the symplectic orthogonality. As an application, the numerical results are obtained
for the rectangular plates under the lateral concentrated load. |
| Keywords |
symplectic elasticity approach, quasicrystals, Hamiltonian operator, finite integral transform |
| Received |
01 September 2023 | Revised |
07 November 2023 | Accepted |
13 November 2023 |
| Link to Fulltext |
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