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基于索-梁结构的斜拉桥非线性振动仿真研究

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本文建立了索-梁结构的有限元模型,对斜拉桥线性和非线性振动问题进行研究。首先对结构进行模态分析,发现结构振动表现出全局模态,局部模态以及混合模态,且索梁两者之间固有频率相互影响,对低阶频率影响较大,对高阶频率影响较小。其次,应用有限元软件对索-梁结构的自由振动和强迫振动进行仿真研究。结果表明:整个自由振动过程中频率有先增大后减小的趋势,且最终小于真实频率;在强迫振动中,观察到了丰富的非线性振动现象,包括索的亚谐波共振和内共振,与以往的实验和理论研究结果定性上得到验证;为斜拉桥全桥非线性动力学分析提供参考。
Nonlinear Vibration Simulation Study of Cable-Stayed Bridge Based on Cable-Beam Structure
In this paper,the finite element model of cable-beam structure is established to study the line-ar and nonlinear vibration of cable-stayed bridge.Firstly,the modal analysis of the structure is carried out,and it is found that the vibration of the structure shows global modes,local modes and coupled modes,and the natural frequencies of the cable and the beam interact with each other,which has a grea-ter impact on the low order frequency and a lesser impact on the high order frequency.Secondly,the free vibration and forced vibration of cable-beam structure are simulated by finite element software.The re-sults show that during the entire free vibration process,the frequency first increases and then decreases,and is ultimately smaller than the true frequency.In the forced vibration,abundant nonlinear vibration phenomena are observed,including subharmonic resonance and internal resonance of the cable,which are qualitatively verified with previous experimental and theoretical results.It provides a reference for nonlinear dynamics analysis of cable-stayed bridge.

cable-stayed bridgecable-beam structurefinite element simulationnonlinear vibra-tionresonance

康厚军、尹昆、苏潇阳、郭铁丁、丛云跃

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广西大学 土木建筑工程学院,南宁 530004

广西大学 工程力学研究中心,南宁 530004

斜拉桥 索-梁结构 有限元仿真 非线性振动 共振

国家自然科学基金资助项目

11972151

2024

动力学与控制学报
中国力学学会 湖南大学

动力学与控制学报

CSTPCD
影响因子:0.446
ISSN:1672-6553
年,卷(期):2024.22(5)
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