基于不完备模态测试信息的结构损伤识别方法研究  

Study of damage identification based on incomplete modal measurements

作　　者：袁颖[1] 林皋[1] 周爱红[2] 周海辉[3] 

机构地区：[1]大连理工大学土木水利学院,辽宁大连116024 [2]北京交通大学土建学院,北京100044 [3]石家庄经济学院勘查技术学院,河北石家庄050031

出　　处：《大连理工大学学报》2007年第5期693-698,共6页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(重点项目50139010)

摘　　要：测试信息不完备、测量噪声等因素是制约结构损伤识别方法应用的主要难点.为此首先采用部分测点的实测模态振型数据和未测点的有限元模型模态振型数据构造出完整的模态振型.其次,建立了一种适合梁系和杆系结构的基于不完备测试信息的损伤识别方程,并采用Levenberg-Marquardt非线性最小二乘算法进行了方程的求解.由于采用的是标量损伤模型,该方法可以同时进行结构的损伤定位和定量研究.最后,用一个平面桁架模型进行了数值模拟,重点考查了实测自由度数、模态数、测试噪声对损伤识别结果的影响.研究表明,在测试数据不完备及一定噪声水平条件下,该方法仍有较好的损伤识别能力.Some factors, such as incomplete measurements, measurement noise, are main difficulties confronted in damage identification method for application. Firstly, based on the work performed by the earlier researchers, the complete mode shapes are formulated using both the measured mode shapes on partial measurement points and the remaining unmeasured ones of the finite element model. Secondly, a damage identification procedure applicable to the beam and member structures using incomplete modal measurements is presented. The localization and quantification of the structural damage can be determined simultaneously due to the scalar damage model adopted. Finally, a numerical simulation of a planar truss is carried out with the Levenberg-Marquardt nonlinear least squares procedure, in which the effects of the measured number of degrees of freedom, the number of modes and measurement noise on the structural damage identification are investigated in detail. Experimental results indicate that the procedure presented shows good performance even in the case of incomplete measurements and limited noise.

关 键 词：不完备测试数据 损伤识别 Levenberg—Marquardt法 测量噪声 

分 类 号：TU312.13[建筑科学—结构工程]