基于车桥振动的桥梁振型识别及主梁挠度计算方法
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作者单位:

1.山东建筑大学 交通工程学院;2.山东高速集团有限公司

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基金项目:

山东省交通运输厅科技计划项目(2020B69);山东省高等学校土木结构防灾减灾协同创新中心项目(XTM201904)


中图分类号:U441 文献标志码:A
Author:
Affiliation:

1.Shandong Jianzhu University;2.Shandong High Speed Group Co. Ltd

Fund Project:

Science and Technology Plan Project of Shandong Provincial Department of Transportation(No.2020B69); Project of Collaborative Innovation Center for Disaster Prevention and Mitigation of Civil Structure in Institutions of Higher Learning of Shandong Province(No.XTM201904)

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    摘要:

    根据桥梁间接测量法的基本原理,对一座三跨连续梁桥建立车桥振动的有限元模型,提取车辆匀速通过桥梁时接触点竖向加速度时程响应,采用快速傅里叶变换得到加速度频谱图,应用峰值拾取法识别出桥梁的前三阶频率;利用带通滤波技术从接触点竖向加速度响应中提取与桥梁频率相关的分量响应,通过希尔伯特变换得到测试桥梁的前三阶振型,与有限元理论振型进行比较,结果表明在车速为4m/s和8m/s时前三阶识别振型的MAC(模态保证准则)均大于0.99;基于桥梁有限元模型将识别的振型进行质量归一化,计算主梁的测试位移柔度矩阵,设计桥梁标准荷载试验方案,利用柔度矩阵预测主梁在试验荷载下的挠度,并与理论挠度进行比较,结果表明车速为4m/s和8m/s时预测挠度与理论挠度误差均小于5%,满足工程精度要求。为车桥耦合振动间接测量法在实际工程中的进一步应用提供了重要的基础理论参考。

    Abstract:

    According to the basic principle of bridge indirect measurement, the finite element model of vehicle-bridge coupled vibration is established for a three-span continuous girder bridge. The time-history response of the vertical acceleration of the contact point is extracted when the vehicle passes the bridge at a constant speed. The first three frequencies of the bridge are identified by the peak picking method. The bandpass filtering technology is used to extract the component response related to the bridge frequency from the vertical acceleration response of the contact points, the first three modes of the bridge are obtained by Hilbert transform. The identified mode shapes are compared with the finite element theoretical mode shapes. It is show that MAC (modal assurance criterion) of the first three modes of mode recognition is greater than 0.99 when the vehicle speed is 4m/s and 8m/s. Based on the finite element model of the bridge, the mass of the identified modes is normalized, the test displacement flexibility matrix of the main girder is calculated, and the standard load test scheme of the bridge is designed. The flexibility matrix was used to predict the deflection of the main girder under the test load, and compared with the theoretical deflection. The results show that the errors of both the predicted deflection and the theoretical deflection are less than 5%, when the speed is 4m/s and 8m/s, which meets the requirements of engineering precision. This study provides an important theoretical reference for the further application of the indirect measurement method of vehicle-bridge coupling vibration in practical engineering

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  • 收稿日期:2021-06-08
  • 最后修改日期:2021-09-08
  • 录用日期:2021-10-15
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