摘要
针对干燥气候下的稳定拉索在风雨共同作用下产生大幅振荡这一现象,运用弹性力学和空气动力学理论,考虑索的垂度、大位移引起的几何非线性及风雨和拉索的相互作用等因素,建立了拉索的非线性动力学方程组,采用Runge-Kutta法对方程组进行数值计算,分析了系统的非线性动力学特性,得到了在不同相关参数下拉索的跨中位移幅值曲线.结果表明,拉索的风雨激振主要与风速、风速偏航角、水线的平衡位置及密度比等因素有关.密度比是主要影响因素,拉索幅值随密度比的增大而增大,而拉索的垂度、大位移而引起的几何非线性对拉索风雨激振的影响较小.理论结果与H ikam i试验结果基本吻合.
In order to explain the phenomenon that cables in dry air are stable but show oscillation of large amplitude, factors such as geometrical nonlinearity caused by lag of cables and large displacement, mutual effect of wind-rain and cables were taken into account and nonlinear equations of cables were constructed with the use of the knowledge of elasticity and aerodynamics. Numerical computation was carried out by the Runge-Kutta method. The analysis on dynamic properties of the system was given, and the amplitude curves of displacement of midst position of cables under several different parameters were obtained. The computational results are basically consistent with Hikami＇s wind tunnel test. The results show that the rain-wind-induced vibration of cables is related to wind velocity, yaw angle of wind velocity, the position of still rivulet, and the proportion σ of cable density to air density. The proportion σ is the main factor： when σ is increased, the amplitude of cables will increase. However, the effect of geometrical nonlinearity on the rain-wind-induced vibration of cables is small.
出处
《天津大学学报（自然科学与工程技术版）》
EI
CAS
CSCD
北大核心
2005年第8期674-678,共5页
Journal of Tianjin University：Science and Technology
基金
国家自然科学基金资助项目(10172064).
关键词
风雨激振
拉索
水线
幅值
数值计算
非线性
rain-wind-induced vibration
cable
rivulet
amplitude
numerical computation
nonlinear
