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Advances in Materials Science and Engineering
Volume 2017, Article ID 8560596, 10 pages
Research Article

Musical Tone Law Method for the Structural Damage Detection

1School of Civil Engineering, Qingdao University of Technology, Qingdao 266033, China
2Institute of Disaster Prevention, Sanhe 065200, China

Correspondence should be addressed to Weixiao Xu; moc.361@deepsdogxw

Received 20 July 2016; Revised 26 October 2016; Accepted 23 November 2016; Published 31 January 2017

Academic Editor: Tiejun Liu

Copyright © 2017 Weisong Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Damage detection tests of inclined cables, steel pipes, spherical shells, and an actual cable-stayed bridge were conducted based on the proposed musical tone law method. The results show that the musical tone law method could be used in the damage detection of isotropic material structures with simple shape, like cables, pipes, plates, and shells. Having distinct spectral lines like a comb with a certain interval distribution rule is the main characteristic of the music tone law. Damage detection baseline could be established by quantizing the fitting relationship between modal orders and the corresponding frequency values. The main advantage of this method is that it could be used in the structural damage detection without vibration information of an intact structure as a reference.