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    基于单测点响应模态成分小波包能量的中小跨径桥梁损伤识别

    Single-Point Response-Based Damage Identification for Short- and Medium-Span Bridges Using Wavelet Packet Energy of Modal Components

    • 摘要: 我国中小跨径桥梁数量庞大且分布广泛.交通运输部明确提出,此类桥梁的健康监测应遵循“轻量化为主、市场化推进”的原则,因此低成本、易实施的轻量化损伤识别方法需求迫切.传统健康监测方法传感器用量大,造价高昂,在中小跨径桥梁应用中面临瓶颈.为解决这一难题,实现中小跨径桥梁健康监测系统的轻量化,提出了一种基于桥梁上单测点响应模态成分小波包能量的损伤识别方法,将传感器用量降至极致.首先,研究移动荷载作用下桥梁上单点位移响应所包含的成分,明确其物理意义为桥梁多阶振型叠加的准静态成分和相应阶模态下动力分量信息叠加的高频成分2部分组成.基于该物理解释,滤除响应中的高频动力分量后,剩余的准静态成分本质上是高分辨率模态振型的叠加.据此,对所测单点位移响应进行多尺度低通滤波,提取2个由低阶振型主导的准静态成分.考虑到不同尺度下准静态成分所蕴含的局部损伤信息存在差异,提出采用2个不同尺度分别对其进行小波包分解,并以2个尺度下对应的高频子带能量差构建损伤指标模型,从而实现基于单测点响应识别桥梁损伤位置.该模型无需依赖历史健康数据作为基准.为验证方法有效性,对一简支梁进行了数值模拟与实验验证.结果表明,该方法在单损伤和多损伤工况下均能准确定位损伤,且具有良好的抗噪音鲁棒性.该研究为大量中小跨径桥梁轻量化健康监测的推广应用提供了一种可行的技术方案.

       

      Abstract: China possesses a large number of short- and medium-span bridges that are widely distributed throughout its transportation network.Ministry of Transport proposed that health monitoring for such bridges should prioritize lightweight implementation and be promoted through market-oriented approaches.Consequently,there is an urgent demand for low-cost and easily deployable damage identification methods.Traditional structural health monitoring systems require numerous sensors and complex instrumentation,leading to high installation and maintenance costs that limit their large-scale application on short- and medium-span bridges.To address this issue,we introduced a lightweight damage identification method based on the wavelet packet energy of modal components derived from a single sensor on the bridge.The displacement response under moving load was interpreted as two parts:a quasi-static component formed by the superposition of multiple vibration modes and a high-frequency component associated with modal dynamic responses.By removing the high-frequency dynamic components,the remaining quasi-static response essentially represented a superposition of high-resolution modal shapes.Multi-scale low-pass filtering was subsequently applied to extract two quasi-static components dominated by lower-order modes.Wavelet packet decomposition was performed at different scales,and a damage index was constructed from the difference in high-frequency sub-band energy to identify damage locations without requiring baseline data.Numerical simulations and experimental tests on a simply supported beam confirm that the proposed method accurately located damage under both single- and multiple-damage conditions while demonstrating strong robustness against noise.This method provides a feasible solution for the application of lightweight health monitoring of medium and small-span bridges.

       

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