Damage Detection in Beam-Type Structures Using Fractal Dimension Trajectory of Rotated Higher Vibration Modes

Abstract:

Damage-induced local response is probably easy to be captured by the higher modes of the structures, especially for the small defects. The aim of this paper is to overcome the inherent deficiency of fractal dimension to identify crack when implemented to higher mode shapes. The proposed approach reconstructs the higher mode shape through rotation transformation, and then the fractal dimension analysis is implemented on this new mode shape to yield a fractal dimension trajectory. The location of the crack can be determined by the sudden peaks at the fractal dimension trajectory. The applicability and effectiveness of the proposed method is validated by using numerical simulations on damage identification of a cracked cantilever beam.

• Periodical: Applied Mechanics and Materials (Volumes 275-277)
• Pages: 1111-1117
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.275-277.1111
• Online since: January 2013
• Authors: Run Bo Bai, Zong Mei Xu, Xiu Mei Qiu
• Keywords: Beam, Crack Detection, Fractal Dimension, Higher Vibration Modes, Rotation Transformation

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