计算力学学报2016，Vol.33Issue(5)：663-669,682,8.DOI:10.7511/jslx201605002
含裂纹梁参数的谐响应识别
Harmonic identification of cracks parameters in beams
摘要
Abstract
A method of crack identification is presented based on amplitude changing after analyzing the dynamic characteristics of cracked beams under harmonic excitation.Firstly,a breathing crack model was introduced to establish a 2-D finite element model of cantilever beam with a crack.It is pointed out that the amplitude is always a significant signal under any excitation and can be used to describe the dynamic characteristics of cracked beams.Secondly,it was found that the amplitudes change differently with crack parameters when the exciting frequency is a quarter of first-order and second-order nature frequency of beams with no cracks.So the amplitude is proposed to detect the crack parameters in beams.Then,the amplitude surface is plotted by adopting surface fitting technology.Through identification of a cracked beam with unknown parameters,the method is proved to be effective.Finally,considering that the nature frequency of a beam with no cracks is calculated inaccurately,the robustness of this method is analyzed. The result shows that this method can detect the crack parameters even though the max error is 10%.关键词
含裂纹梁/幅值/裂纹参数/简谐激励/鲁棒性Key words
cracked beam/amplitude/crack parameters/harmonic excitation/robustness分类
数理科学引用本文复制引用
陈岩,芦旭,张宇航,关振群..含裂纹梁参数的谐响应识别[J].计算力学学报,2016,33(5):663-669,682,8.基金项目
国家自然科学基金(11272074) （11272074）
国家科技重大专项(2011ZX02403)资助项目 （2011ZX02403）
