Identification of structural damage based on a "weak" formulation of locally perturbed structural vibration

H. Xu, Li Cheng, Zhongqing Su, J. L. Guyader

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review


The recently developed pseudo-excitation (PE) technique [1, 2] was proven capable of characterizing structural damage under steady vibration. Relying on partial differential equations that characterize the local dynamic equilibrium of the inspected structural components, the PE technique in its primary form, however, presents high susceptibility to measurement noise. In this study, the technique was improved by establishing a "weak" formulation in which a multitude of damage indices, involving derivatives of the structural deflection from lower- to higher-order, as a result of different integration steps, were proposed. The multi-order derivatives in the "weak" formulation provide flexibility for optimally selecting the weight functions, integration intervals and other measurement parameters, to create multi-detection strategies with different levels of precision and noise immunity capabilities. As a representative example, the continuous Gaussian smoothing (CGS) was demonstrated, revealing stronger noise immunity than original PE technique. The effectiveness of the CGS was then validated experimentally by detecting multi-cracks in an irregular beam-like structure, showing satisfactory detection accuracy which could not be achieved by the original PE technique.
Original languageEnglish
Title of host publicationStructural Health Monitoring 2013
Subtitle of host publicationA Roadmap to Intelligent Structures - Proceedings of the 9th International Workshop on Structural Health Monitoring, IWSHM 2013
PublisherDEStech Publications
Number of pages8
ISBN (Electronic)9781605951157
Publication statusPublished - 1 Jan 2013
Event9th International Workshop on Structural Health Monitoring: A Roadmap to Intelligent Structures, IWSHM 2013 - Stanford University, Stanford, United States
Duration: 10 Sep 201312 Sep 2013


Conference9th International Workshop on Structural Health Monitoring: A Roadmap to Intelligent Structures, IWSHM 2013
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Computer Science Applications
  • Health Information Management

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