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Vibration based algorithm for crack detection in cantilever beam containing two different types of cracks

Behzad, M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jsv.2013.07.003
  3. Publisher: 2013
  4. Abstract:
  5. In this paper, a simple method for detection of multiple edge cracks in Euler-Bernoulli beams having two different types of cracks is presented based on energy equations. Each crack is modeled as a massless rotational spring using Linear Elastic Fracture Mechanics (LEFM) theory, and a relationship among natural frequencies, crack locations and stiffness of equivalent springs is demonstrated. In the procedure, for detection of m cracks in a beam, 3m equations and natural frequencies of healthy and cracked beam in two different directions are needed as input to the algorithm. The main accomplishment of the presented algorithm is the capability to detect the location, severity and type of each crack in a multi-cracked beam. Concise and simple calculations along with accuracy are other advantages of this method. A number of numerical examples for cantilever beams including one and two cracks are presented to validate the method
  6. Keywords:
  7. Crack location ; Cracked beams ; Energy equation ; Equivalent springs ; Euler Bernoulli beams ; Linear-elastic fracture mechanics ; Rotational spring ; SIMPLE method ; Algorithms ; Brittle fracture ; Cantilever beams ; Cracks ; Natural frequencies ; Crack detection
  8. Source: Journal of Sound and Vibration ; Volume 332, Issue 24 , November , 2013 , Pages 6312-6320 ; 0022460X (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0022460X13005968