一次强风作用下大跨度桥梁主梁非平稳抖振可靠性分析

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (7) : 144-154.

论文

孙博1，叶泽毅1，阮伟东1，张新军1，杨名冠2

作者信息 +

Reliability analysis of non-stationary buffeting of large-span bridge girder under a strong wind action

SUN Bo1, YE Zeyi1, RUAN Weidong1, ZHANG Xinjun1, YANG Mingguan2

Author information +

文章历史 +

摘要

抖振可靠性评估对保障大型桥梁结构在强风作用下的安全性具有十分重要的意义。在已有研究基础上，基于非平稳风场模型和精细化的抖振时域分析方法，并考虑抖振响应的非平稳性和非高斯特征，构建了大跨度桥梁主梁非平稳抖振可靠性分析的方法流程。非平稳脉动风速的模拟基于进化谱理论采用谐波合成法并引入均匀调制函数来实现。静风力荷载采用规范公式求解，非平稳抖振力采用准定常气动理论并引入气动导纳公式来修正其误差进行模拟，气动自激力通过引入单元气动刚度矩阵与气动阻尼矩阵实现。对于精细化有限元分析得到的抖振响应，采用Winterstein修正模型对其进行高斯转换，并考虑响应方差的时变特性，采用基于Poisson假定的首次超越概率来求解非平稳抖振动力可靠性。应用所提出的方法流程对某大跨度斜拉桥在一次强风作用下的抖振可靠性进行了分析评估，证明了其有效性。

Abstract

Buffeting reliability assessment is of vital importance to the safety insurance of long-span bridges under strong winds. A comprehensive nonstationary buffeting reliability analysis approach for the long-span bridge girder is proposed based on the nonstationary wind field model and the refined time-domain buffeting analysis process, considering the nonstationary and non-Gaussian characteristics of the buffeting response as well. The non-stationary fluctuating wind speed is simulated by combining the Weighted Amplitude Wave Superposition (WAWS) method and uniform modulation model based on the evolutionary spectrum theory. The static wind force is computed by the design code. The non-stationary buffeting force is obtained by the quasi-steady aerodynamic theory with the aerodynamic admittance formula for error correction consideration. The aerodynamic self-excited force is realized by introducing the aerodynamic stiffness and damping matrixes. Gaussian translation is applied on the buffeting response obtained from the refined finite element analysis using the Winterstein model. The dynamic reliability of nonstationary buffeting is obtained by the first overpass probability based on the Poisson assumption and the time-variant property of the response variance is considered. The proposed methodology is applied to evaluate the buffeting reliability of a long-span cable-stayed bridge under strong wind as a case study.

导出引用

孙博1，叶泽毅1，阮伟东1，张新军1，杨名冠2. 一次强风作用下大跨度桥梁主梁非平稳抖振可靠性分析[J]. 振动与冲击, 2024, 43(7): 144-154

SUN Bo1, YE Zeyi1, RUAN Weidong1, ZHANG Xinjun1, YANG Mingguan2. Reliability analysis of non-stationary buffeting of large-span bridge girder under a strong wind action[J]. Journal of Vibration and Shock, 2024, 43(7): 144-154

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