斜拉索受轴向激励引起的面内参数振动分析

考虑拉索垂直及几何非线性的影响，导出了拉索在轴向激励作用下的非线性振动方程，用谐波平衡法得出了产生参数共振的最小激励幅值，共振时瞬态和稳态的振幅值及拉索内力的变化特性，论述了结构阻尼对参数振动的影响，并对典型斜拉索进行了数值求解，研究结果表明，参数振动的响应特性与Irvine参数，频率匹配，激励幅值，倾斜角度等有关，索内力在瞬态现稳态有较大的变化，索的瞬态内力不容忽视。

Analysis of Stayed-Cable Vibration Caused by Axial Excitation

Non linear equations of motion, in which the static sag as well as the geometric no linearity is considered, are derived. The minimum excitation amplitude as well as the transient state and steady state amplitudes and axial force are obtained by using harmonic probing method, and the effect of the inner damping is also discussed. Several numeric examples are prosecuted. The results demonstrate that the characteristic of the parametric excitation vibration are related the Irvine parameter, vibration frequency and inclined angle. The discrepancy of axial force between the transient and steady state should not be neglected.