Crack Identification in Vibrating Beams Using the Energy Method

Yang, Xin; Swamidas, A. S. J.; Seshadri, R.

doi:10.1006/jsvi.2000.3498

Cited by 103 publications

(48 citation statements)

References 10 publications

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“…However, their method can have the lack of exactness due to the some simplifications and linearization done for decreasing the matrix size. Some other methods, including exponentially decaying crack disturbance functions, have been proposed to develop vibration equations for continuous models (Christides and Barr 1984;Mazanoglu et al 2009;Yang et al 2001). When these methods are used in the inverse analyses, interaction effects of the cracks can be required to be neglected for being capable of detecting cracks.…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 24mentioning

confidence: 99%

A Novel Methodology Using Simplified Approaches for Identification of Cracks in Beams

Mazanoglu

2015

Lat. Am. j. solids struct.

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In this paper, natural frequency based forward and inverse methods are proposed for identifying multiple cracks in beams. Forward methods include simplified definition of the natural frequency drops caused by the cracks. The ratios between natural frequencies obtained from multi-cracked and un-cracked beams are determined by an approach that uses the local flexibility model of cracks. This approach does not consider nonlinear crack effects that can be easily neglected when the number of cracks is not excessive. In addition, an expression, which removes the necessity of repeating natural frequency analyses, is given for identifying the connection between the crack depths and natural frequency drops. These simplified approaches play crucial role in solving inverse problem using constituted crack detection methodology. Solution needs a number of measured modal frequency knowledge two times more than the number of cracks to be detected. Efficiencies of the methods are verified using the natural frequency ratios obtained by the finite element package. The crack detection methodology is also validated using some experimental natural frequency ratios given in current literature. Results show that the locations and depths ratios of cracks are successfully predicted by using the methods presented.

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Section: Latin American Journal Of Solids and Structures 12 (2015) 24mentioning

confidence: 99%

A Novel Methodology Using Simplified Approaches for Identification of Cracks in Beams

Mazanoglu

2015

Lat. Am. j. solids struct.

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“…[1] to investigate the influence of cracks on structural dynamic characteristics during the vibration of a beam with open crack. transverse vibration are obtained for a rectangular beam containing cracks.…”

Section: Modelmentioning

confidence: 99%

Differential Quadrature Method Based Study of Vibrational Behaviour of Inclined Edge Cracked Beams

Srivastava

Raju

2017

MATEC Web Conf.

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The study of vibration behaviour of cracked system is an important area of research. In the present work we present a mathematical model to study the effect of inclination, location and size of the crack on the vibrational behavior of beam with different boundary conditions. The model is based on the assumption that the equivalent flexible rigidity of the cracked beam can be written in terms of the flexible rigidity of the uncracked beam, based on the energy approach as proposed by earlier researchers. In the present work the Differential Quadrature Method (DQM) is used to solve equation of motion derived by using Euler's beam theory. The primary interest of the paper is to study the effect of inclined crack on natural frequency. We have also studied the beam vibration with and without vertical edge crack as a special case to validate the model. The DQM results for the natural frequencies of cracked beams agree well with other literature values and ANSYS solutions.

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“…Christides [3] 등은 균열이 상, 하면에 대칭으로 존재 하고 단면이 일정한 오일러 보의 진동해석을 수행하였으며 Shen [4] 등은 균열 끝 부분의 응력 집중을 이용하여 구조물의 동특성을 얻 기 위해 2차원 유한요소법을 사용했다. Yang [5] 등은 열린 균열을 갖는 보가 진동하는 동안 균열이 구조물의 동특성에 어떤 영향을 주는 지 조사하기위해 수치적 모델을 제시하였고 Lin [6] 은 전달행 렬법을 사용하여 열린 균열을 갖는 단순보의 역 문제를 직접 계산 하였다. Chandrupatla [7] 등은 크랙을 갖는 보의 동특성을 유한요소 법을 이용하여 연구하였으며, Gounaris [8] 는 크랙을 가진 보의 구 조해석을 위해 유한요소해석 방법을 크랙에 의한 유연행렬을 적용 시켜 그 타당성을 보였다.…”

Section: 서 론unclassified

Crack Detection in Beam using Sensitivity Coefficient of Modal Data

Lee¹

2013

Journal of manufacturing engineering & technology

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Article history:This paper describes a sensitivity-coefficient-based iterative method for detecting cracks in a structure. The sensitivity coefficients of a cracked structure are obtained by changing its eigenvectors. The proposed method is applied to a cracked cantilever. The crack is modeled as a rotational stiffness. The predicted cracks are in good agreement with those from a structural reanalysis of the cracked structure.

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Crack Identification in Vibrating Beams Using the Energy Method

Cited by 103 publications

References 10 publications

A Novel Methodology Using Simplified Approaches for Identification of Cracks in Beams

A Novel Methodology Using Simplified Approaches for Identification of Cracks in Beams

Differential Quadrature Method Based Study of Vibrational Behaviour of Inclined Edge Cracked Beams

Crack Detection in Beam using Sensitivity Coefficient of Modal Data

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