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Identification of Cracks in Rotors and Other Structures by Vibration Analysis

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Analytical Methods in Rotor Dynamics

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 9))

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Abstract

The question of crack detection from dynamic measurements is further extended and discussed in Chap. 7. A general stiffness matrix for cracked structural members is introduced, to model the respective dynamic system. This stiffness matrix can be further utilized for static, dynamic or stability analysis of a structure with cracked members of rectangular or circular cross-section. Off-diagonal terms indicate vibration coupling. The change in dynamic response is analytically evaluated for simple systems and by means of approximate methods for more complicated ones. The outlined procedure can be used for engineering analysis in two ways: (a) as a design tool, to assist in structural optimization with the objective of achieving certain specific dynamic characteristics; and (b) as a maintenance and inspection tool, to identify structural flaws, such as cracks, by linking the variations in service of the structure's natural frequencies to structural changes due to the cracks.

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Author information

Authors and Affiliations

  1. Mechanical Engineering Department, Washington University, St. Louis, Missouri, USA

    Andrew D. Dimarogonas

  2. Mechanical Engineering and Aeronautics, University of Patras, Ostfold Fylke, University Campus, Rio, 26500, Patras, Greece

    Stefanos A. Paipetis & Thomas G. Chondros

Authors
  1. Andrew D. Dimarogonas
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  2. Stefanos A. Paipetis
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  3. Thomas G. Chondros
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Correspondence to Thomas G. Chondros .

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Dimarogonas, A.D., Paipetis, S.A., Chondros, T.G. (2013). Identification of Cracks in Rotors and Other Structures by Vibration Analysis . In: Analytical Methods in Rotor Dynamics. Mechanisms and Machine Science, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5905-3_7

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  • DOI: https://doi.org/10.1007/978-94-007-5905-3_7

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