碳纤维材料圆形双层正交悬索结构的非线性自振

NONLINEAR NATURAL VIBRATION OF AN ORTHOGONAL TWO-LAYER CABLE STRUCTURE WITH CARBON FIBER CABLES IN CIRCULAR PLANE

建立了碳纤维材料圆形双层正交悬索结构的非线性自振控制方程,采用Galerkin原理及L-P法求得碳纤维材料圆形双层正交悬索结构非线性自振的近似解及双层索网层间接触力的近似解。在把碳纤维材料圆形双层正交悬索结构与钢丝材料圆形双层正交悬索结构比较的基础上,讨论分析了温度、振幅、索网垂度等因素对双层索网非线性自振及索网层间接触力的影响。得到了温度升高将使双层索网非线性自振频率降低,振幅和索网垂度增大会使双层索网非线性自振频率增大的结论。

The natural vibration governing equations of a cable structure with carbon fiber cables are given,and their approximate solutions and touching force between layers are solved with Galerkin principle and L-P method.Based on comparing a cable structure with carbon fiber cables and one with steel cables,the effects of temperature,amplitude and sag on the two-layer cable structure's nonlinear vibration and touching forces between layers are analyzed.The increase in temperature will make the nonlinear natural vibration frequency of the structure drop.On the contrary,the increase in amplitude and sag will make the natural vibration frequency raise.