考虑弯曲刚度的斜拉索固有振动特性分析

Natural vibration character analysis of inclined cable considering bending rigidity

考虑拉索垂度、弯曲刚度及几何非线性的影响,建立了斜拉桥拉索固有振动的非线性振动方程。用奇异摄动法(L-P)和谐波平衡法(傅立叶级数)对典型斜拉索进行了数值求解。结果表明,拉索的固有频率与初始索力、索垂度、弯曲刚度、倾角有关,初始索力的影响最大。

The non - linear equations of motion, in which the static sag, bending rigidity as well as the geometric no- linearity is considered, are promoted. Several numeric examples of typical inclined cables are prosecuted by using L- P method and harmonic probing method. The results demonstrate that the frequency is related to the original force, the sag of cable, bending rigidity, inclined angle and the infhmce of original force is the obviousest.