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考虑拉索垂度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 ,索内力在瞬态与稳态有较大的变化 ,索的瞬态内力不容忽视。
Considering the influence of cable sag and geometrical nonlinearity, the nonlinear vibration equation of cable under axial excitation is deduced. The minimum amplitude of excitation, the amplitude of transient and steady state resonance and the variation of internal force of cable are obtained by harmonic balance method. The influence of structural damping on parameter vibration is discussed. The results show that the response of parametric vibration is related to Irvine parameters, frequency matching, excitation amplitude and inclination angle. The internal force of cable has a great change in transient and steady state, Cable transient internal force can not be ignored.