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斜拉索风雨激振空间模型
引用本文:马星,仲政,胡瑞龙.斜拉索风雨激振空间模型[J].同济大学学报(自然科学版),2003,31(8):895-898.
作者姓名:马星  仲政  胡瑞龙
作者单位:同济大学,工程力学与技术系,上海,200092
基金项目:国家杰出青年科学基金资助项目 (10 12 5 2 0 9)
摘    要:斜拉索风雨激振是复杂的气、液、固三相耦合振动问题 ,目前研究仅给出二维平面力学模型 .为考虑整根拉索振动的影响 ,引入了多振型自由度索单元模拟斜拉索的空间振动曲线 ,同时考虑水线和索的耦合振动以及水线位置对拉索气动特性的影响 ,推导了拉索—水线耦合振动的非线性方程 .为考虑系统运动的稳定性 ,引入Hurwitz判别式 ,可以迭代求得最小失稳临界风速 .最后通过算例验证了本文方法的正确性

关 键 词:斜拉索  风雨激振  多振型自由度索单元  运动稳定性
文章编号:0253-374X(2003)08-0895-04
修稿时间:2002年9月2日

Three-dimension Model for Rain-wind Induced Vibrations of Inclined Cables
MA Xing,ZHONG Zheng,HU Rui-long.Three-dimension Model for Rain-wind Induced Vibrations of Inclined Cables[J].Journal of Tongji University(Natural Science),2003,31(8):895-898.
Authors:MA Xing  ZHONG Zheng  HU Rui-long
Abstract:Rain-wind induced vibration of an inclined cable is a complex problem of coupling oscillation of gas,liquid and solid.There is only a plane model in present studying.To integrally consider the influence of vibration of the cable,multi-mode-freedom cable element is applied to imitate its dynamic curve.Moreover,both of the dynamic interactions of cable and water rivulet and the influence of its position to aerodynamic forces are taken into account before the nonlinear dynamic equations of the coupling system of cable and water rivulet are developed.Then Hurwitz discriminant is applied to study the kinematic stability of the system and the formula to calculate critical wind speed is deduced.At last an example is given to testify the theories derived in this paper.
Keywords:inclined cable  rain-wind induced vibration  multi-mode-freedom cable element  kinematic stability
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