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<p>Quasicrystals (QCs) are mainly used as coatings or films in aerospace equipment. In this paper, a QC layered beam model with an elastic medium is established under different boundary conditions. The Pasternak-type elastic medium model is used to simulate the interaction between layered beam and its surrounding medium, i.e., two cases of beams resting on the elastic medium and embedded in the elastic medium. The semi-analytical solutions for vibration frequency and bending deformation are obtained by using the state space and differential quadrature method. The effects of elastic medium and boundary conditions on the frequency and bending deformation are analyzed in numerical examples. The results indicate that the stiffness of the QC layered beam can be improved. The frequency of QC beam embedded in the elastic medium is higher than that of a beam resting on the elastic medium. The obtained results can provide a theoretical basis for QC layered structure with an elastic medium.</p>

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Vibration and bending of one-dimensional quasicrystal layered beams with elastic medium

  • 期刊论文

  • 发表日期：

    2026年3月8日

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  • Tuoya Sun,
  • Xinyu Yu,
  • Junhong Guo,
  • Chenbo Zong,
  • Jinghan Zhang

摘要

Quasicrystals (QCs) are mainly used as coatings or films in aerospace equipment. In this paper, a QC layered beam model with an elastic medium is established under different boundary conditions. The Pasternak-type elastic medium model is used to simulate the interaction between layered beam and its surrounding medium, i.e., two cases of beams resting on the elastic medium and embedded in the elastic medium. The semi-analytical solutions for vibration frequency and bending deformation are obtained by using the state space and differential quadrature method. The effects of elastic medium and boundary conditions on the frequency and bending deformation are analyzed in numerical examples. The results indicate that the stiffness of the QC layered beam can be improved. The frequency of QC beam embedded in the elastic medium is higher than that of a beam resting on the elastic medium. The obtained results can provide a theoretical basis for QC layered structure with an elastic medium.