Identification of crack parameters in a cantilever beam under uncertain end conditions

摘要：

The local effect of softening at the crack location can be simulated by an equivalent spring connecting the two segments of the beam.As modelling the crack,the non-perfectly rigid clamp is also simulated as a torsional spring of unknown stiffness.Combined with the Bemoulli-Euler theories of beam,the present model is applied to derive the characteristic equation of the cantilever beam under uncertain end conditions related to the crack parameters,namely,the location and the depth of the crack.Based on this characteristic equation,an accurate crack identification method is developed to identify the location and the depth of the crack by minimizing the difference between the analytical and experimental frequency values.The proposed approach is verified by two cantilever beam experiments under ideal boundary conditions and uncertain end conditions.It is found that the location and the depth of the crack can be worked out when at least three natural frequencies are known.For crack identification of the cantilever beam under uncertain end conditions,the identified crack location of the proposed approach is more accurate than the Narkis method.Furthermore,the crack depth can also be obtained by the present method.

关键词： crack parameter identification cantilever beam

作者: Wang Zhihua Jing Lin Zhang Weiwei Ma Hongwei

作者单位: Institute of Applied Mechanics and Biomedical Engineering,Taiyuan University of Technology,Taiyuan 0 College of Science & Engineering,Jinan University,Guangzhou 510632,China

会议类型: 国际会议

会议名称: The 8th International Conference on Damage Assessment of Structures(DAMAS 2009)(第八届结构损伤评价国际学术会议)

会议地点: 北京

会议语种:英文

页码: 117-124

在线出版日期: 2009-08-03（万方平台首次上网日期，不代表论文的发表时间）