Multiple crack identification in stepped beam by measurements of natural frequencies

Authors

  • Nguyen Tien Khiem Institute of Mechanics, VAST
  • Duong The Hung Thai Nguyen University of Technology
  • Vu Thi An Ninh Hanoi University of Transportation and Communication

DOI:

https://doi.org/10.15625/0866-7136/36/2/3141

Keywords:

Multi stepped beam, Rayleigh quotient, multi-crack detection, frequency based method, modal analysis

Abstract

A new approach is proposed for calculating natural frequencies and crack detection in a stepped cantilever beam with arbitrary number of cracks. This is based an explicit expression of the natural frequencies in term of crack parameter derived in the form similar to the so-called Rayleigh quotient for vibrating beam. The obtained simple relationship between natural frequencies and crack parameters enables not only accurate calculating the natural frequencies but also to develop an efficient procedure for detecting multiple cracks from given natural frequencies. The proposed technique called crack scanning method is illustrated and validated by numerical results.

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Published

10-06-2014

How to Cite

Khiem, N. T., Hung, D. T., & Ninh, V. T. A. (2014). Multiple crack identification in stepped beam by measurements of natural frequencies. Vietnam Journal of Mechanics, 36(2), 119–132. https://doi.org/10.15625/0866-7136/36/2/3141

Issue

Section

Research Paper

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