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<p>The free vibration characteristics of two-dimensional (2D) decagonal quasicrystal (QC) cylindrical shell panels hold significant promise for advancing sensor technologies, energy harvesting systems and lightweight structural components in aerospace and mechanical enginee3ring. To address this need, this work presents the Hamiltonian-based analytical solution for free vibration of 2D decagonal QC cylindrical shell panels with Lévy-type boundary conditions. By introducing a full-state vector as the fundamental unknown, the governing equations are formulated in the Hamiltonian form, which are simplified into a set of low-order ordinary differential equations. This approach enables the direct derivation of analytical solutions for free vibration of 2D decagonal QC cylindrical shell panels. Comparison studies validate the accuracy of the proposed symplectic model. Through a comprehensive parametric analysis, it is found that the geometric parameters, elastic constants of the phonon and phason fields, material parameters of the phason field are the key influencing factors on the natural frequencies and modal deformations of the QC cylindrical shell panels.</p>

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Free vibration symplectic analytical solutions of two-dimensional decagonal quasicrystal cylindrical shell panels

  • 期刊论文

  • 发表日期：

    2026年1月16日

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  • Xin Su,
  • Zhe Li,
  • Fenglin Liang,
  • Tong Li,
  • Zhenhuan Zhou,
  • Xinsheng Xu

摘要

The free vibration characteristics of two-dimensional (2D) decagonal quasicrystal (QC) cylindrical shell panels hold significant promise for advancing sensor technologies, energy harvesting systems and lightweight structural components in aerospace and mechanical enginee3ring. To address this need, this work presents the Hamiltonian-based analytical solution for free vibration of 2D decagonal QC cylindrical shell panels with Lévy-type boundary conditions. By introducing a full-state vector as the fundamental unknown, the governing equations are formulated in the Hamiltonian form, which are simplified into a set of low-order ordinary differential equations. This approach enables the direct derivation of analytical solutions for free vibration of 2D decagonal QC cylindrical shell panels. Comparison studies validate the accuracy of the proposed symplectic model. Through a comprehensive parametric analysis, it is found that the geometric parameters, elastic constants of the phonon and phason fields, material parameters of the phason field are the key influencing factors on the natural frequencies and modal deformations of the QC cylindrical shell panels.