斜拉桥的多重内共振及其耦合过程研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (10) : 87-93.

论文

斜拉桥的多重内共振及其耦合过程研究

孙测世 1 ，赵珧冰 2，康厚军 3，赵跃宇 3

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Multiple internal resonances and coupling process of cablestayed bridge

SUN Ceshi 1 ZHAO Yaobing 2 KANG Houjun 3 ZHAO Yueyu 3

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摘要

斜拉桥具有复杂的内共振特性，以往多是通过频率的倍数关系去研究多模态间的内共振，忽视了对耦合过程的研究。为研究其多重内共振及各模态相互耦合过程，进行了斜拉桥非线性动力学模型实验。实验观测到多重内共振及其导致的全桥大幅振动，发现当外激励频率约为长斜拉索固有频率2倍时，能激发其大幅“拍振”，且两个“拍频”之和正好等于外激励频率。通过分段分析和无相移滤波研究了各模态的相互耦合过程。研究表明：斜拉桥非线性模态频率低于线性模态频率；多重内共振需经历一定时间的耦合作用方能引发斜拉桥大幅稳态振动；强迫振动、局部-混合模态耦合振动和组合内共振同时发生是单频外激励能激发斜拉索“拍振”，且“拍频”之和等于外激励频率的根本原因。

Abstract

Cablestayed bridges have complex internal resonance characteristics. In the past, multiple internal resonances were studied usually based on the multiple relationships of frequencyies, while the modal coupling process was neglected. In order to study the multiple internal resonances and the coupling process between different modes, a nonlinear dynamic model test of a cablestayed bridge was carried out. It is found that when the external excitation frequency is about twice of the natural frequency of the longcable, “beat vibration” of the cable could be induced, and the sum of the two “beat frequencies” is exactly equal to the external excitation frequency. The coupling process between different modes was studied by using the method of subsection analysis and zerophaseshift filtering. The results show that: the cablestayed bridge’s nonlinear modal frequency is lower than the linear modal frequency； multiple internal resonances need to experience a certain time of coupling to induce the steady large amplitude vibration of the cablestayed bridge； the simultaweous occurance of forced vibration, localhybrid coupling vibration and combined internal resonance is the fundamental reason for the cable’s “beat vibration” induced by a single frequency excitation with the excitation frequency equal to the sum of the two “beat frequencies”.

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孙测世 1,赵珧冰 2，康厚军 3，赵跃宇 3. 斜拉桥的多重内共振及其耦合过程研究[J]. 振动与冲击, 2018, 37(10): 87-93

SUN Ceshi 1 ZHAO Yaobing 2 KANG Houjun 3 ZHAO Yueyu 3. Multiple internal resonances and coupling process of cablestayed bridge[J]. Journal of Vibration and Shock, 2018, 37(10): 87-93

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