Vibration of cracked structures: a state of the art review

AD Dimarogonas - Engineering fracture mechanics, 1996 - Elsevier
The presence of a crack in a structural member introduces a local flexibility that affects its
vibration response. Moreover, the crack will open and close in time depending on the …

The strain energy release approach for modeling cracks in rotors: A state of the art review

CA Papadopoulos - Mechanical systems and signal processing, 2008 - Elsevier
The strain energy release rate (SERR) theory, combined with Linear Fracture Mechanics
and Rotordynamics theories, has been widely used over the last three decades in order to …

Free vibration analysis of a cracked beam by finite element method

DY Zheng, NJ Kessissoglou - Journal of Sound and vibration, 2004 - Elsevier
In this paper, the natural frequencies and mode shapes of a cracked beam are obtained
using the finite element method. An 'overall additional flexibility matrix', instead of the 'local …

Crack detection and vibration behavior of cracked beams

PN Saavedra, LA Cuitino - Computers & Structures, 2001 - Elsevier
A theoretical and experimental dynamic behavior of different multi-beams systems
containing a transverse crack is presented. The additional flexibility that the crack generates …

A non-linear study of a cracked rotor

JJ Sinou, AW Lees - European Journal of Mechanics-A/Solids, 2007 - Elsevier
The influence of the presence of transverse cracks in a rotating shaft is analyzed. The paper
addresses the influence of crack opening and closing on dynamic response during …

Vibration characteristics of a cracked rotor with two open cracks

AS Sekhar - Journal of Sound and Vibration, 1999 - Elsevier
The dynamic behaviour of structures, in particular, that of a rotor, containing cracks is a
subject of considerable current interest. Several researchers have developed models of …

Whirl frequencies and critical speeds of a rotor-bearing system with a cracked functionally graded shaft–Finite element analysis

D Gayen, D Chakraborty, R Tiwari - European Journal of Mechanics-A …, 2017 - Elsevier
Finite element (FE) formulations have been developed for dynamic analysis of a functionally
graded (FG) shaft having a transverse crack. Two nodded Timoshenko beam element with …

Nonlinear dynamic analysis of two-disk rotor system containing an unbalance influenced transverse crack

N Kushwaha, VN Patel - Nonlinear Dynamics, 2023 - Springer
The vibration monitoring of the rotating machines is an effective tool to detect rotating
element's defects at their early stages. The dynamic characteristics such as natural …

Crack detection in rotating shafts based on 3× energy: Analytical and experimental analyses

MJ Gómez, C Castejón, JC García-Prada - Mechanism and Machine …, 2016 - Elsevier
Maintenance is essential to prevent catastrophic failures in rotating machinery. A crack can
cause a failure with costly processes of reparation, especially in a rotating shaft. In this study …

Review of recent advances in the application of the wavelet transform to diagnose cracked rotors

MJ Gómez, C Castejón, JC García-Prada - Algorithms, 2016 - mdpi.com
Wavelet transform (WT) has been used in the diagnosis of cracked rotors since the 1990s. At
present, WT is one of the most commonly used tools to treat signals in several fields …