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EXPERIMENTAL AND ANALYTICAL INVESTIGATION OF A FLUTTERING BRIDGE SECTION MODEL

机译:飘飘桥段模型的实验分析研究

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Flutter instability is a typical aerodynamic vibration phenomenon of slender elastic bridges. The sensitivity for flutter can be predicted by determining the so-called flutter derivatives from the small-scale model of the bridge. This work investigates an elastic supported two d.o.f. bridge section model which can move vertically and rotate around a horizontal axis. These movements correspond to the bending and torsional vibrations of the bridge. The linearised equations of motion is assumed to be known, thus, the aerodynamic forces can be determined from wind-tunnel experiments. These forces are assumed as linear functions of the generalised coordinates and their time-derivatives. The coefficients of the linear terms called also as flutter derivatives depend on the flow (wind) velocity. These coefficients are to be determined by the Monte Carlo method using the measured acceleration data. The obtained results are compared to the results determined by curve-fitting on the acceleration time-signal. The original (structural) damping and stiffness matrices can be modified by using the flutter derivatives since the equations of motion form a homogeneous linear differential equation system. Thus, we get effective damping and stiffness matrices. Flutter instability occurs when a harmonic solution satisfies the equations. The critical flow velocity which the system loses its stability at is also compared to the stability boundary of the analytical model based on Theodorsen's approach.
机译:颤动不稳定是纤细弹性桥的典型空气动力学振动现象。通过从桥的小规模模型确定所谓的颤动衍生物,可以预测颤动的灵敏度。这项工作调查了两个D.O.F的弹性支持。桥接段模型可以垂直移动并绕水平轴旋转。这些运动对应于桥梁的弯曲和扭转振动。假设已知线性化的运动方程,因此,可以从风隧道实验确定空气动力力。假设这些力作为广义坐标的线性函数及其时间衍生物。也称为颤振衍生物的线性术语的系数取决于流量(风)速度。这些系数由Monte Carlo方法使用测量的加速度数据来确定。将得到的结果与通过在加速时间信号上的曲线拟合确定的结果进行比较。由于运动方程形成均匀的线性微分方程系统,因此可以通过使用颤振衍生物来修改原始(结构)阻尼和刚度矩阵。因此,我们得到有效的阻尼和刚度矩阵。当谐波解决方案满足方程时发生颤动不稳定性。与基于TheoDorsen方法的分析模型的稳定性边界相比,系统失去其稳定性的临界流速。

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