Natural Frequencies of Multistep Functionally Graded Beam with Cracks

Khiem, Nguyen Tien; Lien, Tran Van; Ninh, Vu Thi An

doi:10.1007/s40997-018-0201-x

Cited by 10 publications

(4 citation statements)

References 35 publications

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“…The presence of damage leads to changes in some of the lower natural frequencies and mode shapes. Khiem et al (2019) described to find natural frequencies of multistep functionally graded beam with cracks. Bendigeri and Tomar (2011) have presented the formulation of finite element for static analysis based on iso-parametric formulation.…”

Section: Literature Reviewmentioning

confidence: 99%

Vibration analysis and control of cracked beam using finite element method by using ANSYS

Toke

Patil

2022

WJE

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Purpose The purpose of this paper is to develop an organized structure for damage detection of a cracked cantilever beam using finite element method and experimental method technique. Design/methodology/approach Due to presence of cracks the dynamic characteristics of structure change. The change in dynamic behavior has been used as one of the criteria of fault diagnosis for structures. Major characteristics of the structure which undergo change due to presence of crack are: natural frequencies, the amplitude responses due to vibration and the mode shapes. Therefore, an attempt has been made to formulate a smart technique for minimizing the amplitude of vibration for crack cantilever beam structures. In the analysis both single and double cracks are taken into account. Findings The results of the active vibration control experiments proved that piezoelectric sensor/actuator pair is an effective sensor and actuator configuration for active vibration control to reduce the amplitude of vibration for closed-loop system. Originality/value It is necessary that structures must safely work during its service life, but damages initiate a breakdown period on the structures which directly affect the industrial growth. It is a recognized fact that dynamic behavior of structures changes due to presence of crack. It has been observed that the presence of cracks in structures or in machine members leads to operational problem as well as premature failure.

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Section: Literature Reviewmentioning

confidence: 99%

Vibration analysis and control of cracked beam using finite element method by using ANSYS

Toke

Patil

2022

WJE

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“…Furthermore, the authors extended the studies also on intact stepped beams (Bambill et al, 2015; Su et al, 2018; Suddoung et al, 2014; Wattanasakulpong and Charoensuk, 2015), cracked homogeneous isotropic stepped beams (Al-Said, 2008; Attar, 2012; Kisa and Arif Gurel, 2007; Mao and Pietrzko, 2010; Naguleswaran, 2002; Nandwana and Maiti, 1997) and only one study on cracked FG stepped beams (Khiem et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

“…There are plenty of studies on free vibration behaviour and characteristics of uniform cross-section only one study on cracked FG stepped beams (Khiem et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of a single edge cracked symmetric functionally graded stepped beams

Cunedioĝlu

Shabani

2020

Advances in Structural Engineering

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Free vibration analysis of a single edge cracked multi-layered symmetric sandwich stepped Timoshenko beams, made of functionally graded materials, is studied using finite element method and linear elastic fracture mechanic theory. The cantilever functionally graded beam consists of 50 layers, assumed that the second stage of the beam (step part) is created by machining. Thus, providing the material continuity between the two beam stages. It is assumed that material properties vary continuously, along the thickness direction according to the exponential and power laws. A developed MATLAB code is used to find the natural frequencies of three types of the stepped beam, concluding a good agreement with the known data from the literature, supported also by ANSYS software in data verification. In the study, the effects of the crack location, crack depth, power law gradient index, different material distributions, different stepped length, different cross-sectional geometries on natural frequencies and mode shapes are analysed in detail.

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“…Although there is a widespread literature devoted to study vibration of FGM intact and cracked beam, most of them investigated simple beams except the Ref. (N. Khiem, Lien, & Ninh, 2018) where multistep FGM beam with cracks was studied by the transfer matrix method. In this paper, the DSM is developed to study continuous FGM beam with arbitrary number of cracks based on the Timoshenko beam theory; spring model of cracks and power law distribution of FGM.…”

Section: Introductionmentioning

confidence: 99%

Free and forced vibration analysis of multiple cracked FGM multi span continuous beams using dynamic stiffness method

Lien

Duc²,

Khiem³

2019

Lat. Am. j. solids struct.

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In the present paper, the free and forced vibration of multiple cracked multi span continuous beams made of functionally graded material (FGM) is investigated by the dynamic stiffness method. First, there are constructed dynamic stiffness matrix and nodal load vector of multiple cracked FGM beam element using Timoshenko beam theory and massless double spring model of crack. Then, effect of cracks parameters on free and forced vibration of the FGM continuous beams is examined. The theoretical developments are validated by numerical examples. The obtained results provide an efficient method to analyze free and forced vibration of multiple cracked FGM framed structures and assessment of the behavior of damaged structures.

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Natural Frequencies of Multistep Functionally Graded Beam with Cracks

Cited by 10 publications

References 35 publications

Vibration analysis and control of cracked beam using finite element method by using ANSYS

Vibration analysis and control of cracked beam using finite element method by using ANSYS

Free vibration analysis of a single edge cracked symmetric functionally graded stepped beams

Free and forced vibration analysis of multiple cracked FGM multi span continuous beams using dynamic stiffness method

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