A new vibration-based damage index for beam-type structures using quadratic time-frequency distribution and matrix expansion method

Hamid Reza Ahmadi , Sherko Karimpour

Abstract

Identifying damage at an early stage is crucial for preserving the integrity of structures. Damage in structures often manifests as adverse changes within the system, which can propagate over time and ultimately lead to structural failure. This research introduces a novel damage index, referred to as the P-Index, for detecting damage in beam-type structures. The P-Index is developed using the Reduced Interference Distribution—a bilinear timefrequency function—along with matrix expansion techniques. To validate the effectiveness of the proposed method, laboratory tests were conducted on a steel beam. The results demonstrate the capability of the P-Index to accurately identify damage. Key advantages of this method include high accuracy, ease of implementation, no requirement for input force measurement, reduced sensor usage, and the ability to work with recorded signals without noise removal.

Key Words

beam-type structure; damage index; matrix development method; time-frequency function

Address

(1) Hamid Reza Ahmadi — Department of Civil Engineering, Faculty of Engineering, University of Maragheh, Maragheh 55136-553, Iran
(2) Sherko Karimpour — Department of Civil Engineering, University of Kurdistan, Sanandaj, Iran.

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