<p>This paper presents an innovative and comprehensive examination of the free vibration characteristics of functionally graded, antisymmetric angle-ply bio-inspired helicoidal carbon nanotube-reinforced laminated composite nanoplates. An advanced nonlocal strain gradient continuum model, specifically designed for these composites, is employed to investigate the synergistic impacts of nanoscale phenomena and microstructural characteristics. A unique Galerkin approach is proposed to assess the vibration behavior of these nanoplates, while global governing equations are derived using Hamilton’s principle in conjunction with higher-order shear deformation theory. The study includes three unique helicoidal carbon nanotube configurations—linear (HL), exponential (HE), and semicircular (HS)—and assesses five carbon nanotube distribution patterns: uniform (UD), FG-X, FG-O, FG-A, and FG-V. The research conducts a comprehensive parametric study to elucidate the effects of geometric parameters, material properties, and boundary conditions on dimensionless natural frequencies, offering essential insights into the dynamic performance of these novel bio-inspired laminated composite nanoplates. The novelty of this work lies in the unified treatment of bio-inspired helicoidal CNT stacking, functionally graded CNT distributions, nonlocal strain gradient size dependency, and orthotropic Pasternak foundation effects within a refined shear deformation framework, enabling accurate vibration predictions for CNT-reinforced nanoplates in MEMS/NEMS and lightweight structural systems.</p>

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Vibration characteristics of bio-inspired helicoidal CNT-reinforced functionally graded laminated nanoplates on orthotropic foundation

  • Ahmed Amine Daikh,
  • Obaidullah Alfahmi,
  • Mohamed A. Eltaher

摘要

This paper presents an innovative and comprehensive examination of the free vibration characteristics of functionally graded, antisymmetric angle-ply bio-inspired helicoidal carbon nanotube-reinforced laminated composite nanoplates. An advanced nonlocal strain gradient continuum model, specifically designed for these composites, is employed to investigate the synergistic impacts of nanoscale phenomena and microstructural characteristics. A unique Galerkin approach is proposed to assess the vibration behavior of these nanoplates, while global governing equations are derived using Hamilton’s principle in conjunction with higher-order shear deformation theory. The study includes three unique helicoidal carbon nanotube configurations—linear (HL), exponential (HE), and semicircular (HS)—and assesses five carbon nanotube distribution patterns: uniform (UD), FG-X, FG-O, FG-A, and FG-V. The research conducts a comprehensive parametric study to elucidate the effects of geometric parameters, material properties, and boundary conditions on dimensionless natural frequencies, offering essential insights into the dynamic performance of these novel bio-inspired laminated composite nanoplates. The novelty of this work lies in the unified treatment of bio-inspired helicoidal CNT stacking, functionally graded CNT distributions, nonlocal strain gradient size dependency, and orthotropic Pasternak foundation effects within a refined shear deformation framework, enabling accurate vibration predictions for CNT-reinforced nanoplates in MEMS/NEMS and lightweight structural systems.