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<p>This study presents a novel higher-order shear deformation theory (HSDT) for vibration analysis of doubly-curved nanoscale panels made of non-isotropic materials, specifically the triclinic type with 21 independent elastic constants. The proposed model accurately captures shear deformation effects through the shell’s thickness and is applied to various curvature profiles under different boundary conditions, including clamped, simply-supported, and mixed constraints. The nonlocal strain gradient theory (NSGT) is employed to examine size-dependent effects, while hygro-thermal influences are incorporated through nonlinear constitutive relations. Hamilton’s principle is applied to derive the governing equations, which are solved numerically. Notably, the results reveal a frequency reduction exceeding 25% under combined hygro-thermal loading, demonstrating significant environmental sensitivity. Furthermore, the triclinic model shows an 20% fundamental frequency shift compared to isotropic models, highlighting the crucial role of complete anisotropy. A parametric study investigates the sensitivity of natural frequency to key parameters, including nonlocal and strain gradient parameters, geometric properties, hygro-thermal loading, functionally graded (FG) index, and boundary conditions. The results establish both a robust numerical framework for analyzing triclinic nanoshells and a vital foundation for future studies on advanced nanodevices utilizing materials with low-symmetry crystal structures.</p>

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Vibration analysis of anisotropic curved nanosize panels via a novel quasi-3D model subjected to hygro-thermal loading

  • 期刊论文

  • 发表日期：

    2026年1月4日

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  • A. K. Kareem,
  • Majid M. Kharnoob,
  • Ali J. Khalaf,
  • V. Sandeep,
  • Ripendeep Singh,
  • Anupama Routray,
  • J. Jayaprabakar,
  • M. A. Diab,
  • M. K. Sharma

摘要

This study presents a novel higher-order shear deformation theory (HSDT) for vibration analysis of doubly-curved nanoscale panels made of non-isotropic materials, specifically the triclinic type with 21 independent elastic constants. The proposed model accurately captures shear deformation effects through the shell’s thickness and is applied to various curvature profiles under different boundary conditions, including clamped, simply-supported, and mixed constraints. The nonlocal strain gradient theory (NSGT) is employed to examine size-dependent effects, while hygro-thermal influences are incorporated through nonlinear constitutive relations. Hamilton’s principle is applied to derive the governing equations, which are solved numerically. Notably, the results reveal a frequency reduction exceeding 25% under combined hygro-thermal loading, demonstrating significant environmental sensitivity. Furthermore, the triclinic model shows an 20% fundamental frequency shift compared to isotropic models, highlighting the crucial role of complete anisotropy. A parametric study investigates the sensitivity of natural frequency to key parameters, including nonlocal and strain gradient parameters, geometric properties, hygro-thermal loading, functionally graded (FG) index, and boundary conditions. The results establish both a robust numerical framework for analyzing triclinic nanoshells and a vital foundation for future studies on advanced nanodevices utilizing materials with low-symmetry crystal structures.