基于附加质量块的桥梁模态挠度预测方法研究

亓兴军1,孙绪法1,王珊珊2,曹三鹏1

振动与冲击 ›› 2022, Vol. 41 ›› Issue (19) : 104-113.

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (19) : 104-113.
论文

基于附加质量块的桥梁模态挠度预测方法研究

  • 亓兴军1,孙绪法1,王珊珊2,曹三鹏1
作者信息 +

Bridge modal deflection prediction method based on additional mass block

  • QI Xingjun1, SUN Xufa1, WANG Shanshan2, CAO Sanpeng1
Author information +
文章历史 +

摘要

以16m跨径空心板单梁为研究对象,研究基于附加质量块的质量归一化方法和模态柔度法测试预测桥梁模态挠度的准确性和工程可行性。基于环境激励测试16m单梁在施加质量块前后的模态参数,提出包含相对频率改变平方项的振型质量归一化计算方法,预测单梁在多级竖向静力荷载作用下的模态挠度,将模态挠度与实测静挠度进行比较,研究8种附加质量工况下单梁模态挠度的测试预测精度,分析附加质量占比以及质量块的数量对预测精度的影响,分析传感器数量对模态挠度预测精度的影响。结果表明,在环境激励下,5个传感器与8个传感器模态挠度预测精度基本一致,满足工程精度要求;基于附加质量块预测的模态挠度可代替实测弹性静挠度,进而评估桥梁的实际刚度状态;附加质量块质量占梁体总重10%左右时,模态挠度的预测相对误差在8%以内,预测精度较高,在实际工程应用中,可适用于其他跨径桥梁;在附加质量块占比相同的情况下,多个小质量快的模态挠度预测精度优于大质量块;仅利用单梁前两阶竖向模态即可获得较为精确的模态挠度。
关键词:桥梁结构;附加质量;柔度矩阵;振型质量归一;模态挠度

Abstract

Taking the 16m span hollow slab single beam as the research object, the method of mass normalization based on additional masses and the modal flexibility method are studied to test the accuracy and engineering feasibility of bridge modal deflection prediction. Based on the environmental excitation test of the modal parameters of the 16m single beam before and after the mass block is applied, a normalized calculation method for the modal mass including the relative frequency change square term is proposed to predict the modal of the single beam under multi-level vertical static loads. Deflection, compare the modal deflection with the measured static deflection, study the test prediction accuracy of the single beam modal deflection under 8 additional mass conditions, analyze the influence of the proportion of additional mass and the number of masses on the prediction accuracy, and analyze the number of sensors Influence on the accuracy of modal deflection prediction. The results show that under environmental excitation, the prediction accuracy of the modal deflection of the 5 sensors and the 8 sensors is basically the same, which meets the engineering accuracy requirements; the modal deflection predicted based on the additional mass can replace the measured elastostatic deflection to evaluate the actual stiffness of the bridge Status; when the mass of the additional mass accounts for about 10% of the total weight of the beam, the relative error of the modal deflection prediction is within 8%, and the prediction accuracy is high. In practical engineering applications, it can be applied to other span bridges; When the proportion of blocks is the same, the prediction accuracy of multiple small-mass and fast modal deflection is better than that of large-mass blocks; only the first two vertical modes of a single beam can be used to obtain more accurate modal deflection.
Key words: Bridge structure; additional mass; flexibility matrix; mode mass normalization; modal deflection

关键词

桥梁结构 / 附加质量 / 柔度矩阵 / 振型质量归一 / 模态挠度

Key words

Bridge structure / additional mass / flexibility matrix / mode mass normalization / modal deflection

引用本文

导出引用
亓兴军1,孙绪法1,王珊珊2,曹三鹏1. 基于附加质量块的桥梁模态挠度预测方法研究[J]. 振动与冲击, 2022, 41(19): 104-113
QI Xingjun1, SUN Xufa1, WANG Shanshan2, CAO Sanpeng1. Bridge modal deflection prediction method based on additional mass block[J]. Journal of Vibration and Shock, 2022, 41(19): 104-113

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