Symplectic approach for accurate buckling analysis in decagonal symmetric two-dimensional quasicrystal plates

被引:0
|
作者
Fan, Junjie [1 ,2 ,3 ]
Li, Lianhe [1 ,2 ,3 ]
Chen, Alatancang [1 ,2 ,3 ]
Li, Guangfang [2 ,4 ]
机构
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
[2] Ctr Appl Math Inner Mongolia, Hohhot 010022, Peoples R China
[3] Minist Educ, Key Lab Infinite dimens Hamiltonian Syst & Its Alg, Hohhot 010022, Peoples R China
[4] Inner Mongolia Agr Univ, Coll Sci, Hohhot 010018, Peoples R China
关键词
Quasicrystals plates; Symplectic approach; Hamiltonian System; Buckling; DIMENSIONAL HAMILTONIAN OPERATORS; FREE-VIBRATION SOLUTIONS; BENDING DEFORMATION; MINDLIN PLATES; ELASTICITY; SYSTEM; ORDER;
D O I
10.1016/j.apm.2025.116099
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This study employs a symplectic approach to investigate the buckling behavior of decagonal symmetric two-dimensional quasicrystal plates. The symplectic approach, known for its high flexibility and broad applicability, has become an essential tool in elasticity theory for addressing complex boundary conditions and material characteristics. Quasicrystalline materials exhibit unique elastic responses due to their quasiperiodic structures, which pose challenges that traditional semi-inverse methods often cannot handle. In contrast, the symplectic approach simplifies the analytical process of high-order differential equations without requiring additional potential functions, making variable separation and eigenfunction expansion more efficient. To effectively apply the symplectic approach, this study transforms the governing equations into Hamiltonian dual equations, enabling precise solutions to the eigenvalue problem to identify critical buckling loads and analyze buckling modes under six typical boundary conditions. The results are validated through comparison with existing literature, further demonstrating the reliability and accuracy of the symplectic approach in such problems. Additionally, this study systematically explores the effects of geometric parameters (such as aspect ratio and thickness-to-width ratio), coupling constants, and their influence on phason field elastic constants, revealing their critical roles in the buckling modes of quasicrystal plates. This research provides a new theoretical perspective on the stability analysis of quasicrystal plates, showcasing the unique advantages of the symplectic approach in the analysis of complex structures and materials.
引用
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页数:21
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