斜拉索风雨振的动力学行为研究

张琪昌;李伟义;王炜

振动与冲击 ›› 2010, Vol. 29 ›› Issue (4) : 173-176.

PDF(1067 KB)
PDF(1067 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (4) : 173-176.
论文

斜拉索风雨振的动力学行为研究

  • 张琪昌; 李伟义; 王炜
作者信息 +

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

  • ZHANG Qi-chang; LI Wei-yi; WANG Wei
Author information +
文章历史 +

摘要


建立了两个自由度的连续斜拉索风雨振理论模型,比已往的截断模型能更好的体现连续斜拉索风雨振完整的动力学特性。利用伽辽金截断方法将连续偏微分方程转化为常微分方程,借助规范形理论得到了系统的平均方程,证明了系统存在稳定的定常解。运用Mathematica程序对系统进行数值分析,得到了拉索和水线的运动相图。数值模拟结果对理论研究的有效性进行了验证。最后讨论了拉索线性阻尼系数、水线与拉索间的粘附系数、水线单位长度质量等参数对拉索振幅的影响,并提出相应的工程解决方案。


Abstract

The rain-wind-induced vibration of stay cable was an attracting extensive attention research topic in the area of bridge engineering and wind engineering now. A two-degree-of-freedom model of rain-wind-induced vibration of continuous stay cable was presented. A set of partial differential equations were diverted into differential equations by Galerkin method. The averaging equation was achieved by normal form theory, which showed the existence of stationary solutions. Then the stability of the stationary solutions was proved. The original system was studied by numerical simulation with Mathematica. The phase diagrams of the cable and rivulet were achieved. It was shown that their moments converged to limit circles. The validity of the theoretical research was investigated via numerical simulation. The influence of the damping of stay cable, and the per unit length quality of rivulet etc. was discussed. Solutions according to the similar problems in practical engineering were proposed.

关键词

风雨振 / 斜拉索 / 水线 / 规范形 / 定常解

Key words

rain-wind-induced vibration / stay cable / rivulet / normal form / stationary solutions

引用本文

导出引用
张琪昌;李伟义;王炜. 斜拉索风雨振的动力学行为研究[J]. 振动与冲击, 2010, 29(4): 173-176
ZHANG Qi-chang;LI Wei-yi;WANG Wei. NONLINEAR DYNAMICS OF RAIN-WIND-INDUCED VIBRATIONS OF STAY CABLE[J]. Journal of Vibration and Shock, 2010, 29(4): 173-176

PDF(1067 KB)

2235

Accesses

0

Citation

Detail

段落导航
相关文章

/