Nonlinear Transient Response of Stay Cable With Viscoelasticity Damper in Cable-Stayed Bridge
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摘要: 考虑索的抗弯刚度、垂度及几何非线性的影响，得出了索-阻尼器系统的空间非线性振动偏微分方程，用中心差分法将偏微分方程在空间内离散，导出了系统的非线性振动常微分方程组．结合Newmark法及虚拟力法提出了一种用于求解非线性振动瞬态响应的杂交分析算法．并以典型的斜拉桥拉索为研究对象，给出了数值算例，并与Runge-Kutta直接积分法进行了比较，说明了杂交算法的准确性及有效性．为大跨斜拉桥拉索的振动控制研究提供了一种简便、有效、快速的时程分析方法．Abstract: Taking the bending stiffness, static sag, and geometric non-linearity into consideration, the space nonlinear vibration partial differential equations were derived. The partical differential equations were discretized in space by finite center difference approximation, then the nonlinear ordinal differential equations were obtained. A hybrid method involving the combination of the Newmark method and the pseudo-force strategy was proposed to analyze the nonlinear transient response of the inclined cable-dampers system subjected to arbitrary dynamic loading. As an example, two typical stay cables were calculated by the present method. The results reveal both the validity and the deficiency of the viscoelasticity damper for vibration control of stay cables. The efficiency and accuracy of the proposed method is also verified by comparing the results with those obtained by using Runge-Kutta direct integration technique. A new time history analysis method is provided for the research on the stay cable vibration control.
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Key words:
- stay cable /
- transient response /
- vibration control /
- non-linearity
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