蜂窝夹层板的多脉冲混沌与分叉研究

Multi-pulse chaos and bifurcations for a honey comb sandwich plate

广泛应用于航空航天领域的蜂窝结构大多可以简化成蜂窝夹层板。研究了蜂窝夹层板在面内激励和横向激励联合作用下的多脉冲混沌与分叉行为。直接以2自由度的非自治非线性系统为研究对象,利用改进的广义Melnikov方法研究了蜂窝板出现多脉冲混沌运动的参数域及系统的全局分叉,给出了系统出现同宿、异宿分叉的参数条件。基于理论分析,数值计算得到了蜂窝夹层板的多脉冲混沌运动,并给出了分叉图。

Most of honeycomb structures widely used in aerospace can be simplified as honeycomb sandwich plates. The multi-pulse chaotic dynamics and bifurcations of a simply-supported honey comb sandwich rectangular plate under combined parametric and transverse excitations are investigated in this paper,taking two-degree-of-freedom non-autonomous nonlinear equation of motion as the object. The extended Melnikov method is directly utilized to analyze the multi-pulse chaotic dynamics of the twodegree-of-freedom non-autonomous nonlinear system for the plate. The theoretical results obtained here indicate that the multi-pulse chaotic motions can occur in the plate. Numerical simulations including phase portraits for multi-pulse chaotic motions and bifurcation diagrams are employed to analyze the complex dynamics of the honey comb sandwich rectangular plate. The validation of the theoretical prediction is also demonstrated.