Wave fractal dimension as a tool in detecting cracks in beam structures

Chandresh Dubey, Vikram Kapila

Research output: Contribution to conferencePaper

Abstract

A chaotic signal is used to excite a cracked beam and wave fractal dimension of the resulting time series and power spectrum are analyzed to detect and characterize the crack. For a single degree of freedom (SDOF) approximation of the cracked beam, the wave fractal dimension analysis reveals its ability to consistently and accurately predict crack severity. For a finite element simulation of the cracked cantilever beam, an analysis of spatio-temporal response using wave fractal dimension in frequency domain reveals distinctive variation vis-à-vis crack location and severity. Simulation results are experimentally validated.

Original languageEnglish (US)
Pages97-104
Number of pages8
StatePublished - Jan 1 2019
Event4th International Conference on Chaotic Modeling and Simulation, CHAOS 2011 - Agios Nikolaos, Crete, Greece
Duration: May 31 2011Jun 3 2011

Conference

Conference4th International Conference on Chaotic Modeling and Simulation, CHAOS 2011
CountryGreece
CityAgios Nikolaos, Crete
Period5/31/116/3/11

Fingerprint

Fractal dimension
Fractal Dimension
Crack
Cracks
Cantilever Beam
Cantilever beams
Finite Element Simulation
Power spectrum
Power Spectrum
Frequency Domain
Time series
Degree of freedom
Predict
Approximation
Simulation

Keywords

  • Chaotic excitation
  • Chen's oscillator
  • Wave fractal dimension

ASJC Scopus subject areas

  • Modeling and Simulation

Cite this

Dubey, C., & Kapila, V. (2019). Wave fractal dimension as a tool in detecting cracks in beam structures. 97-104. Paper presented at 4th International Conference on Chaotic Modeling and Simulation, CHAOS 2011, Agios Nikolaos, Crete, Greece.

Wave fractal dimension as a tool in detecting cracks in beam structures. / Dubey, Chandresh; Kapila, Vikram.

2019. 97-104 Paper presented at 4th International Conference on Chaotic Modeling and Simulation, CHAOS 2011, Agios Nikolaos, Crete, Greece.

Research output: Contribution to conferencePaper

Dubey, C & Kapila, V 2019, 'Wave fractal dimension as a tool in detecting cracks in beam structures' Paper presented at 4th International Conference on Chaotic Modeling and Simulation, CHAOS 2011, Agios Nikolaos, Crete, Greece, 5/31/11 - 6/3/11, pp. 97-104.
Dubey C, Kapila V. Wave fractal dimension as a tool in detecting cracks in beam structures. 2019. Paper presented at 4th International Conference on Chaotic Modeling and Simulation, CHAOS 2011, Agios Nikolaos, Crete, Greece.
Dubey, Chandresh ; Kapila, Vikram. / Wave fractal dimension as a tool in detecting cracks in beam structures. Paper presented at 4th International Conference on Chaotic Modeling and Simulation, CHAOS 2011, Agios Nikolaos, Crete, Greece.8 p.
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