Time-frequency analysis of the free vibration response of a beam with a breathing crack

Research output: Contribution to journalArticlepeer-review

136 Scopus citations

Abstract

In this paper the dynamic behaviour of a cantilever beam with a breathing crack is investigated both theoretically and experimentally. The primary aim is to reveal the nonlinear behaviour of the system by using time frequency methods as an alternative to Fourier analysis methodology. A simple single-degree-of freedom lumped system is employed to simulate the dynamic behaviour of the beam. The time varying stiffness is modelled using a simple periodic function. Both simulated and experimental response data are analysed by applying empirical mode decomposition and Hubert transform and the instantaneous frequency (IF) is obtained. It is shown that the IF oscillates between the frequencies corresponding to open and closed states revealing the physical process of crack breathing. The variation of the IF follows definite trends and therefore can be used as an indicator of the crack size. It allows an efficient and accurate description of the nonlinearities caused by the presence of a breathing crack. Consequently, it can be used to improve vibration based crack detection techniques.

Original languageBritish English
Pages (from-to)3-10
Number of pages8
JournalNDT and E International
Volume38
Issue number1
DOIs
StatePublished - Jan 2005

Keywords

  • Beam vibrations
  • Breathing crack
  • Crack detection
  • Empirical mode decomposition
  • Hilbert transform
  • Instantaneous frequency

Fingerprint

Dive into the research topics of 'Time-frequency analysis of the free vibration response of a beam with a breathing crack'. Together they form a unique fingerprint.

Cite this