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Analysis of nonlinear parametric vibration of sling considering sling-girder coupling effect

机译：考虑斜梁耦合效应的吊索非线性参数振动分析

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摘要

Cable has strong nonlinear characteristics under the static or dynamic force, and if the frequency ratio of the boundary excitation meet some conditions, cable under force will perform a vibration amplitude much more than the initial value. The sling of a long-span suspension bridge may perform a parametric vibration with the vibration ratio of 1:1 or 2:1 under the vibrating of bridge deck. This paper, on the problem, considering the first order modal, build a parametric modal that is a sling under bridge deck as the boundary vibration, which is considering the coupling effect between sling and main girder, then deduced the parametric vibration differential equation set which is considering the sling's damping and the coupling effect between the sling and the main girder.
机译：电缆在静态或动态力下具有强大的非线性特性，如果边界励磁的频率比遇到一些条件，则在力下的电缆将执行振动幅度远远超过初始值。在桥角甲板的振动下，长跨度悬架桥的吊索可以在振动下具有1：1或2：1的振动比。本文在问题上，考虑到第一阶模态，构建一个参数模态，该模态是桥式甲板下的吊带作为边界振动，这考虑了吊索和主梁之间的耦合效果，然后推导出参数振动差动方程集正在考虑吊索的阻尼和吊索和主梁之间的耦合效果。

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