作者：张青霞¹, ŁUKASZ Jankowski²

作者单位：1. 大连民族大学土木工程学院, 辽宁 大连 116600;
2. 波兰科学院基础技术研究所智能技术部, 波兰 华沙 02-106

关键词：结构健康监测;损伤识别;目标函数;频率

摘要：

针对土木工程中结构实测得到的模态信息少，结构损伤识别方法对噪声敏感且依赖高精确度有限元模型等问题，提出利用移动质量-频率曲线识别结构损伤的方法。首先，在结构上附加移动质量块，获得结构频率关于附加质量位置的关系曲线；然后，建立结构近似有限元模型，通过计算实际模型与近似有限元模型之间的质量-频率曲线的相关性，建立目标函数进行优化；最后，利用变截面简支梁结构进行数值模拟。结果表明：在模型存在较大误差情况下，该方法仍能够准确识别损伤位置，验证其具有较高的适用性。

Structure damage identification based on the curve of moveing mass and frequency
ZHANG Qingxia¹, ŁUKASZ Jankowski²
1. School of Civil Engineering, Dalian Minzu University, Dalian 116600, China;
2. Smart-Tech Centre, Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw 02-106, Poland
Abstract: In civil engineering, the measured modal information in practice is less, and damage identification methods usually are sensitive to noise and require high accurate finite element models. Considering those problems, this paper proposes a structural damage identification method based on the correlation curves of moving masses and structural frequencies. Firstly, the mobile mass block is added on structure to obtain the relationship curves between its positions and the structural frequencies. Secondly, the approximate finite element model of the structure is established, and then the objective function is established to optimize the structural damages by calculating the correlation of the frequencies curve of the actual model and the approximate finite element model. Finally, The validity of the method is verified by numerical simulation of a simply supported beam with variable cross-sections. The results show that damage locations can be identified accurately even with large model errors, and the method has high applicability.
Keywords: structural health monitoring;damage identification;objective function;frequency
2019, 45(3):1-6  收稿日期: 2018-11-02;收到修改稿日期: 2018-12-10
基金项目: 国家自然科学基金项目（51108066）；大连民族大学自主基金（wd01124）；辽宁省教育厅项目（L2015134）；辽宁省自然基金指导计划（20180551205）
作者简介: 张青霞(1981-),女,河南中牟县人,副教授,博士,主要从事结构健康监测和损伤识别方向的研究
参考文献
[1] 尚鑫. 基于动力测试的桥梁损伤识别研究[D]. 西安:长安大学, 2014.
[2] 罗裴, 姜德生, 郭丹. 小波包多尺度分析在智能复合材料板损伤检测中的应用[J]. 中国测试技术, 2006(3):48-50
[3] 冯新, 李国强, 周晶. 土木工程结构健康监测诊断中的损伤伤识别方法综述[J]. 地震工程与工程振动, 2005, 25(2):105-113
[4] 李大军, 霍达, 韩强. 桥梁损伤的移动质量多次测量检测法[J]. 华南理工大学学报(自然科学版), 2005(4):50-52
[5] ZHONG S, OYADIJI S. Analytical predictions of natural frequencies of cracked simply supported beams with a stationary roving mass[J]. Journal of Vibration and Vibration, 2008, 311(1):328-352
[6] 杨秋伟, 刘济科. 结构损伤识别的附加质量方法[J]. 工程力学, 2009, 26(5):159-163
[7] 周卫东, 杨秋伟, 赵卫. 基于广义柔度和附加质量的结构损伤识别方法研究[J]. 机械强度, 2016, 38(1):156-159
[8] 路平, 王龙, 段静波, 等. 基于附加质量的梁损伤识别影响因素分析[J]. 解放军理工大学学报(自然科学版), 2017(3):295-301
[9] TITURUS B, FRISWELL M. Regularization in model updating[J]. International Journal for Numerical Methods in Engineering, 2008, 75(4):440-478