1. 对边简支十次对称二维准晶板弯曲问题的辛分析.
- Author
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范俊杰, 李联和, and 阿拉坦仓
- Subjects
- *
HAMILTON'S equations , *EIGENFUNCTION expansions , *SEPARATION of variables , *QUASICRYSTALS , *ANALYTICAL solutions , *HAMILTON-Jacobi equations - Abstract
The symplectic method for the elastic problem of decagonal symmetric 2D quasicrystal plates with 2 opposite edges simply supported, was discussed. The basic equations of the elastic theory for decagonal symmetric 2D quasicrystals were transformed into the Hamilton dual equations. With the method of separation of variables, the symplectic eigenvalues of the corresponding Hamilton operator matrix and the symplectic eigenfunction system were obtained. The completeness of the symplectic eigenfunction system of the Hamilton operator matrix in the sense of the Cauchy principal value was proved. Based on the symplectic eigenfunction expansion of the Hamilton system, the analytical solution to the bending problem of the decagonal symmetric 2D quasicrystal plate was given. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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