振动松弛对斜索参数振动的影响分析

INFLUENCE ANALYSIS OF VIBRATION LOOSENING ON NONLINEAR PARAMETRIC VIBRATIONS OF INCLINED CABLES

  • 摘要: 讨论了振动松弛对斜索参数振动的影响。从考虑弯曲刚度和垂度的斜索运动方程出发,通过有限差分法进行振动松弛的数值计算,分析振动松弛对斜索副不稳定区域和主不稳定区域参数振动响应的影响。结果表明:斜索发生参数振动时,振动松弛首先出现在斜索底端;出现压力时的最小支点激励幅值随斜索的倾角而改变;在小振幅支点激励作用下,小倾角斜索易在副不稳定区域出现振动松弛。

     

    Abstract: The effect of vibration loosening on the parametric vibrations of inclined cables is discussed. By the equations of motion considered the flexural rigidity and sag, vibration loosening is numerically calculated by the finite difference method, and the effect of vibration loosening on the principal unstable region and second unstable region of parametric vibration is analyzed. The results show that vibration loosening is generated first at the lower end when the parametric vibration of inclined cable occurs. The minimum support excitation that generates a compressive force varies with inclination angles. Under the support excitation with small amplitudes, vibration loosening easily occurs in the second unstable region of cables with a small inclination angle.

     

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