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<p>This study proposes an innovative design methodology for bistable triangular composite laminates, establishing for the first time a quantitative relationship between geometric parameters and snap-through behavior. Nine triangular configurations with distinct geometric features were systematically generated by maintaining a constant base length while varying side length and vertex angle. Finite element analysis (FEA) models, rigorously validated against 3D-scanned prototypes, were employed to accurately compute the static equilibrium states of each configuration. Through comparative analysis of dual-point loading experiments and corresponding simulations, this research reveals for the first time unique evolution patterns during state transitions across different configurations (acute/right/obtuse triangles): obtuse configurations exhibit significant sensitivity to loading position, while acute configurations demonstrate more stable transition characteristics. The breakthrough enables predictive snap-through behavior based on geometric parameters, providing theoretical foundations and design guidelines for the precise placement of remotely controlled actuators.</p>

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Research on the Influence of Geometric Parameters of Bistable Triangular Structures on Stable State Transition Process

  • 期刊论文

  • 发表日期：

    2026年2月26日

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  • Jiarui Gao,
  • Shujie Zhang,
  • Yang Zhou,
  • Hanqi Xie,
  • Hongxiao Zhao,
  • Weidong Yang

摘要

This study proposes an innovative design methodology for bistable triangular composite laminates, establishing for the first time a quantitative relationship between geometric parameters and snap-through behavior. Nine triangular configurations with distinct geometric features were systematically generated by maintaining a constant base length while varying side length and vertex angle. Finite element analysis (FEA) models, rigorously validated against 3D-scanned prototypes, were employed to accurately compute the static equilibrium states of each configuration. Through comparative analysis of dual-point loading experiments and corresponding simulations, this research reveals for the first time unique evolution patterns during state transitions across different configurations (acute/right/obtuse triangles): obtuse configurations exhibit significant sensitivity to loading position, while acute configurations demonstrate more stable transition characteristics. The breakthrough enables predictive snap-through behavior based on geometric parameters, providing theoretical foundations and design guidelines for the precise placement of remotely controlled actuators.