索结构风雨振的动力学行为研究

研究带有运动上水线的两个自由度的索结构风雨振模型,假定索结构振动频率与上水线振动频率相同,利用符号代数语言Mathematica对系统进行数值分析。讨论了密度比、索结构阻尼、偏航角等因素对系统运动的影响,对工程中出现的类似问题提出相应的解决方案。同时得到了索结构和水线的运动相图,结果表明:它们的运动均收敛于稳定的极限环。借助计算规范形程序得到了系统的简化的平均方程,进一步验证了系统存在的定常解。

NONLINEAR DYNAMICS OF RAIN-WIND-INDUCED VIBRATIONS OF CABLE STRUCTURE

A two-degree-of-freedom model of rain-wind-induced vibrations of cable structure with moving upper rivulet was studied. It is assumed that the frequency of the circumferential motion of the upper rivulet is equal to that of the cable. The original system was studied by numerical computation with symbol algebra language Mathematica. The influence of density of air, damping of cable, angle of yaw etc. was discussed. Solutions according to the similar problems in practical engineering were proposed. The phase diagrams of the cable and rivulet were achieved. It is shown that their moments converged to limit circles. A simpler averaging equation is achieved by virtue of Mathematica program, which showed the existence of stationary solutions.