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Keywords: cracked beam
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Journal Articles

Piecewise Linear Vibrations of a Cracked Beam

Vaibhav Tandel, K. R. Jayaprakash
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. June 2025, 147(3): 031003.
Paper No: VIB-24-1275
https://doi.org/10.1115/1.4067801
Published Online: March 14, 2025
... of the ith eigenfrequencies of both configurations. Finally, a method based on the canonical action–angle (A–A) variables and the method of averaging is devised to study the forced vibrations of the cracked beam by deriving an averaged slow-flow model. We present the comparative results and discuss...
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Topics: Displacement, Eigenfunctions, Fracture (Materials), Free vibrations, Resonance, Stiffness, Springs, Dynamics (Mechanics), Excitation, Vibration
Journal Articles

Development of a Novel Algorithm for a Crack Detection, Localization, and Sizing in a Beam Based on Forced Response Measurements

M. Karthikeyan, R. Tiwari, S. Talukdar
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. April 2008, 130(2): 021002.
https://doi.org/10.1115/1.2827357
Published Online: January 30, 2008
... element method is used for the cracked beam forced vibration analysis. An open transverse surface crack is considered for the crack model, which contains standard five flexibility coefficients. The effect of the proportionate damping is also included. A harmonic force of known amplitude with sine-sweep...
View Articletitled, Development of a Novel Algorithm for a Crack Detection, Localization, and Sizing in a Beam Based on Forced Response Measurements
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Topics: Algorithms, Damping, Fracture (Materials), Crack detection, Condensation, Vibration
Journal Articles

Development of a Technique to Locate and Quantify a Crack in a Beam Based on Modal Parameters

M. Karthikeyan, R. Tiwari, S. Talukdar
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. June 2007, 129(3): 390–395.
https://doi.org/10.1115/1.2424981
Published Online: October 12, 2006
...M. Karthikeyan; R. Tiwari; S. Talukdar A model-based algorithm has been developed, in order to locate and quantify the size of a crack, based on free vibration measurements of a cracked beam. Measured natural frequencies (at least two) and corresponding mode shapes of the cracked beam are used...
View Articletitled, Development of a Technique to Locate and Quantify a Crack in a Beam Based on Modal Parameters
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Topics: Algorithms, Fracture (Materials), Damping, Free vibrations, Mode shapes