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<p>This study investigates the dynamic buckling behavior of functionally graded graphene platelet-reinforced composite (FG-GPLRC) arches subjected to arbitrary radial step concentrated load through finite element method and theoretical analysis. By employing fundamental dynamic buckling criteria and comparing total potential energy variations with nonlinear static equilibrium paths, analytical solutions for critical dynamic buckling loads under such loading conditions are established. The effects of graphene distribution patterns, geometric parameter <i>λ</i>, graphene mass fraction<i> W</i><sub>GPL</sub>, and load position <i>η</i> on the dynamic buckling characteristics are evaluated through systematic parametric investigation. The research presents three principal innovations: (1) the first examination of FG-GPLRC arches under arbitrary radial step concentrated load, realistically simulating sudden impact loading scenarios; (2) novel insights into the reinforcement mechanisms of graphene nanofillers in functionally graded composites under complex stress states during dynamic buckling; and (3) advanced analytical methodology integrating finite element modeling with parametric studies to quantify the influence of material distribution and geometric parameters on dynamic stability. These findings significantly advance the theoretical framework for FG-GPLRC arches under dynamic loading by identifying critical buckling conditions and key influencing factors, while the derived analytical solutions contribute substantially to structural dynamics theory regarding arch buckling behavior, providing a solid foundation for future investigations into the mechanical performance of composite structures under various operational conditions.</p>

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Study on dynamic buckling of FG-GPLRC arch under arbitrary radial step concentration load

  • 期刊论文

  • 发表日期：

    2025年6月27日

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  • Xinling Li,
  • Yonghui Huang,
  • Qian Hu,
  • Bijing Chen

摘要

This study investigates the dynamic buckling behavior of functionally graded graphene platelet-reinforced composite (FG-GPLRC) arches subjected to arbitrary radial step concentrated load through finite element method and theoretical analysis. By employing fundamental dynamic buckling criteria and comparing total potential energy variations with nonlinear static equilibrium paths, analytical solutions for critical dynamic buckling loads under such loading conditions are established. The effects of graphene distribution patterns, geometric parameter λ, graphene mass fraction WGPL, and load position η on the dynamic buckling characteristics are evaluated through systematic parametric investigation. The research presents three principal innovations: (1) the first examination of FG-GPLRC arches under arbitrary radial step concentrated load, realistically simulating sudden impact loading scenarios; (2) novel insights into the reinforcement mechanisms of graphene nanofillers in functionally graded composites under complex stress states during dynamic buckling; and (3) advanced analytical methodology integrating finite element modeling with parametric studies to quantify the influence of material distribution and geometric parameters on dynamic stability. These findings significantly advance the theoretical framework for FG-GPLRC arches under dynamic loading by identifying critical buckling conditions and key influencing factors, while the derived analytical solutions contribute substantially to structural dynamics theory regarding arch buckling behavior, providing a solid foundation for future investigations into the mechanical performance of composite structures under various operational conditions.