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This paper investigates out-of-plane dynamic instability for functionally graded (FG) graphene platelets reinforced composites (GPLRC) circular arches in a thermal environment. The out-of-plane motion differential equations of the arch are derived based on the Hamilton principle and the dynamic instability regions are obtained by using Bolotin method. The effect of temperature difference, power law index and the GPL weight fraction on the dynamic instability regions are researched. It is found that the increases of both temperature difference and power law index lead to a decrease in the dynamic stability of the FG-GPLRC arch, while the increase of GPL weight fractions can improve the arch’s dynamic stability effectively.

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Out-of-Plane Dynamic Instability of FG-GPLRC Circular Arch in a Thermal Environment

  • 会议论文

  • 发表日期：

    2025年

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  • Zixuan Kuang,
  • Airong Liu

摘要

This paper investigates out-of-plane dynamic instability for functionally graded (FG) graphene platelets reinforced composites (GPLRC) circular arches in a thermal environment. The out-of-plane motion differential equations of the arch are derived based on the Hamilton principle and the dynamic instability regions are obtained by using Bolotin method. The effect of temperature difference, power law index and the GPL weight fraction on the dynamic instability regions are researched. It is found that the increases of both temperature difference and power law index lead to a decrease in the dynamic stability of the FG-GPLRC arch, while the increase of GPL weight fractions can improve the arch’s dynamic stability effectively.