基于工作模态参数的公路桥梁静挠度预测

PREDICTION OF HIGHWAY BRIDGE’S STATIC DEFLECTION BASED ON OPERATIONAL MODAL PARAMETERS

  • 摘要: 实际公路桥梁的静力和动力特性一般分别由现场静力和动力试验确定,而表征结构动力特性的工作模态参数,现场试验无需激励设备加载且不中断结构正常使用,简单方便。该文旨在利用工作模态参数来预测桥梁结构的静力特性,避免封闭交通的车辆加载静力试验。推导出梁在简谐激励作用下模态叠加解析解,令解中外激励频率为零,建立了梁的静力挠度与模态参数之间的解析关系;针对工作模态振型质量归一化难以直接识别的问题,提出将车辆静置于桥梁上不同位置,利用车辆静置前后频率的变化获得质量归一化的振型;将归一化的振型代入静力挠度与模态参数之间的解析关系中,进而实现基于工作模态参数的桥梁静力挠度预测。以三跨连续梁数值模拟算例和实验室简支梁试验验证了该方法的有效性,结果表明:采用工作模态参数可有效预测结构的静挠度,且使用模态阶数越多,所预测的静挠度精度越高。

     

    Abstract: The static and dynamic properties of real highway bridges are usually separately obtained by field static and dynamic tests. The operational modal parameters that represent the structural dynamic characteristics can be easily and quickly identified by field ambient vibration measurements of highway bridges under operational conditions without the need of excitation equipment loading and interrupting the normal bridge service. This paper aims to predict the static deflection of the bridge by using the operational modal parameters to avoid the field static vehicle load testing, in which the traffic has to be closed. The modal superposition solution of the beam is derived under the action of harmonic exciting load, and then the analytical relationship between the beam’s static deflection and modal parameters is derived by setting the frequency of the harmonic exciting load to be zero. The parked vehicle method is proposed to obtain the mass-normalized operational mode shapes by using the modal frequency change due to parking the vehicle on different locations of the bridge. The static deflection prediction of highway bridges based on the operational modal parameters is realized by introducing such mass- normalized mode shapes into the derived analytical relationship between the beam’s static deflection and the modal parameters. A numerical simulation of a three-span continuous beam and a simply supported beam experiment are used to verify the feasibility and effectiveness of the method. It is demonstrated that the static deflection of highway bridges can be effectively predicted by operational modal parameters, and higher accuracy can be acquired with using more order of modes.

     

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