2010
DOI: 10.1080/15376494.2010.488608
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Analytical Approach to Free Vibrations of Cracked Timoshenko Beams Made of Functionally Graded Materials

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Cited by 24 publications
(9 citation statements)
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“…Furthermore, Ke et al [5] investigated the free vibration of beams made of functionally graded materials (FGMs) with an open edge crack based on Timoshenko beam theory. Similar work for free vibrations of cracked FGM beams was performed by Ferezqi et al [6] using the wave method based on Timoshenko beam theory.…”
Section: Introductionmentioning
confidence: 85%
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“…Furthermore, Ke et al [5] investigated the free vibration of beams made of functionally graded materials (FGMs) with an open edge crack based on Timoshenko beam theory. Similar work for free vibrations of cracked FGM beams was performed by Ferezqi et al [6] using the wave method based on Timoshenko beam theory.…”
Section: Introductionmentioning
confidence: 85%
“…Understanding of the vibration characteristics of cracked structures is of prime importance in structural health monitoring and non-destructive damage evaluation because the predicted vibration data can be used to detect, locate, and quantify the extent of the cracks or damages in a structure. Many free vibration and dynamic response of matrix cracked beams based on the Euler-Bernoulli beam model and Timoshenko beam model are available in the literature, for example [1][2][3][4][5][6]. Among those, Krawczuk and Ostachowicz [1] calculated the eigenfrequencies of a FRC cantilever beam with a transverse on-edge…”
Section: Introductionmentioning
confidence: 98%
“…Yu and Chu used the p-version of the finite element method to study the transverse vibration characteristics of cracked FGB [5]. Ferezqi et al presented an analytical investigation of the free vibrations of a FG cracked Timoshenko beam employing a wave approach [6]. Lien et al used [7] an alternative approach called dynamic stiffness method to establish a new form of frequency DIAGNOSTYKA, Vol.…”
Section: Introductionmentioning
confidence: 99%
“…There are plenty of studies on free vibration behaviour and characteristics of uniform cross-section homogeneous and composite intact structures (Erdurcan and Cunedioğlu, 2020; Jiang et al, 2018; Kim and Shin, 2008; Mohanty et al, 2013; Zahedinejad, 2016; Zhang et al, 2020) and cracked structures (Cunedioglu, 2015; Ferezqi et al, 2010; Gayen and Chakraborty, 2016; Gayen et al, 2017a, 2017b, 2018; Han et al, 2020; Kisa and Brandon, 2000; Kisa et al, 1998; Liu et al, 2017; Papadopoulos, 2004; Papadopoulos and Dimarogonas, 1987; Shabani and Cunedioglu, 2019).…”
Section: Introductionmentioning
confidence: 99%