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

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.