关键词: 非光滑系统, 全局动力学, 分岔, 激变, 混沌

Abstract: Affected by the fact that they are flexible but not strong enough, suspension bridges are less resistant to wind.When the wind speed reaches a certain scale, the bridge body may shake, flutter and even collapse. This paper analyzes the dynamic characteristics of a single-degree-of-freedom piecewise smooth suspension bridge model under wind loads, numerically simulates the bifurcation diagrams, attractors and attraction domains of the system under different parameters, and obtains multi-stable coexistence phenomena. The shooting method is used to calculate unstable periodic orbits of the system and observe the dynamic phenomena of crises, including internal and boundary crises.The numerical research results show that, under the same system parameters, multiple moving states may occur, and even the phenomenon of jumping directly from the unstable periodic motion state to the chaotic motion state may appear, which needs to be noted or avoided in the actual construction design, safety detection and failure warning.