支承不在同一直线上多跨索的固有振动分析

Natural vibration analysis of a multi-span cable with supports on different straight lines

研究了多跨索支承在同一平面内且不在同一直线上的固有振动。分段求出每个单跨索的振型函数,然后根据单跨索的边界条件以及连续性条件得到了多跨索的固有频率特征方程,利用此频率特征方程即可确定多跨索的固有频率。在算例分析中,把该方法计算结果与有限元方法计算结果进行比较,验证了该计算方法可靠性,还讨论分析了多跨索的倾角对固有频率的影响。

Here, the natural vibration of a mlti-span cable with supports on different straight lines was studied. The modal shape function of each single-span of the cable was derived and the frequency characteristic equation of the multi-span cable was derived based on the boundary condition and the continuous condition of each single-span and the natural frequrncies of the multi-span cable was determined. Through the FEM analysis of the mhi-span cable, the correctness of the proposed method was verified. In the analysis of examples, the influence of slope on the natural frequrncies was discussed.