Multi-crack detection for beam by the natural frequencies

Khiem, Nguyen Tien; Lien, Tran Van

doi:10.1016/s0022-460x(03)00424-3

Cited by 80 publications

(38 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…They observe notable amounts of errors like 10% in the prediction of locations and sizes of cracks. Khiem and Lien (2004) use the natural frequencies obtained by the dynamic stiffness matrix method and formulate the multiple crack detection as a non-linear optimization problem. Morassi and Rollo (2001) present a technique, which uses the changes in the first three natural frequencies, for a simply supported beam with two cracks having equal severity.…”

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.

View full text Add to dashboard Cite

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.

show abstract

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.

View full text Add to dashboard Cite

show abstract

“…I c ðzÞ ¼ 0:6272z 2 À 1:04533z 3 þ 4:5948z 4 À 9:973z 5 þ 20:2948z 6 À 33:0351z 7 þ 47:1063z 8 À 40:7556z 9 þ 19:6z 10 :…”

Section: Dynamic Stiffness Model Of Cracked Structuresunclassified

Crack detection for structure based on the dynamic stiffness model and the inverse problem of vibration

Khiem

2006

Inverse Problems in Science and Engineering

View full text Add to dashboard Cite

Detecting cracks in structures is a problem of great importance and difficulty in engineering. This work concerns the problem of crack detection for structure using its dynamical characteristics. First, a dynamic stiffness model of framed structure with multi-cracked 3D beam elements has been conducted as a basic instrument for analysis of framed structure with cracked members. Then, the crack detection problem for structures based on the conducted model is formulated in the form of a parameter estimation problem and solved by using the nonlinear programming method. The theory has been illustrated by some numerical results.

show abstract

“…The authors have analyzed the change of natural frequencies of structures such as beams, frame-like,… depending of quantities, locations and depths of cracks [2,18]. The authors have also applied for the determination of the quantities, locations and depths of cracks in the multiple-cracked beam based on natural frequencies measured from experiments [2,14]. The advantage of these researches is that measured parameters to determine the quantities, location and depth of cracks or damage in the structure may be less than the number of parameters found out on solving extreme value problem.…”

Section: Introductionmentioning

confidence: 99%

Determination of the Shape Function of a Multiple Cracked Beam Element and Its Application for the Free Vibration Analysis of a Multiple Cracked Frame Structure

Lien¹,

Hao²

2014

AJCEA

View full text Add to dashboard Cite

Assessment of the behavior of damaged structures as well as determination of the locations and the depths of cracks in multiple cracked structures are very important and attractive for many researchers. This article presents some results on the determination of the vibration shape function of a multiple cracked elastic beam element, which is modeled as an assembly of intact sub-segments connected by massless rotational springs. Algorithms and computer programs to analyse changes of natural mode shapes of multiple cracked beams have been determined. Numerical analysis of natural mode shapes of cracked simple support beams using the obtained expression shows a good agreement in comparison with the well-known analytical methods. The methodology approach and results presented in this article are new and the basis for building an efficient method to identify cracks in frame structures using wavelet analysis of mode shapes.

show abstract

Multi-crack detection for beam by the natural frequencies

Cited by 80 publications

References 11 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

Crack detection for structure based on the dynamic stiffness model and the inverse problem of vibration

Determination of the Shape Function of a Multiple Cracked Beam Element and Its Application for the Free Vibration Analysis of a Multiple Cracked Frame Structure

Contact Info

Product

Resources

About