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One-Dimensional Theories for Cracked Beams

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Refined Dynamical Theories of Beams, Plates and Shells and Their Applications

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 28))

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Abstract

Recent developments in the automatic monitoring of structural integrity has led to renewed interest in the dynamic behaviour of structures containing cracks. Methods might be developed whereby the overall dynamics of a structure are monitored and any changes, for example frequency drop and variation in the associated modal shapes, are indicative of the presence of damage. These changes might possibly be used to locate and quantify the damage and perhaps lead to estimation of the remanent life of the damaged structure. Such an approach is not easy because in general the dynamic behaviour of a component is fairly insensitive to the existence of defects unless these are quite extensive. Examples of work on this topic are mentioned in Ref. [1], [2] and [3].

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References

  1. S. CHRISTIDES and A.D.S. BARR, One-dimensional theory of cracked Bernoulli-Euler beams. Int. J. Mech. Sci. 26, 639–648 (1984).

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  2. S. CHRISTIDES and A.D.S. BARR, Torsional vibration of cracked beams of non-circular cross-section. To be published, Int. J. Mech. Sci. 28, (1986).

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  3. S. CHRISTIDES, Dynamics of structural elements with cracks. Ph.D. Thesis, University of Dundee (1984).

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  4. A.D.S. BARR, An extension of the Hu-Washizu variational principle in linear elasticity for dynamic problems. Trans. ASME. J. appl. Mech. 33, 465 (1966).

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Author information

Authors and Affiliations

  1. Department of Engineering, University of Aberdeen, Aberdeen, AB9 2UE, Scotland

    A. D. S. Barr & S. Christides

Authors
  1. A. D. S. Barr
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  2. S. Christides
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Editor information

Editors and Affiliations

  1. Department of Civil Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA

    Isaac Elishakoff

  2. Institut für Mechanik, Gesamthochschule Kassel — Universität, Mönchebergstraße 7, 3500, Kassel, Germany

    Horst Irretier

  3. I.I.T., Haifa, Israel

    Isaac Elishakoff

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© 1987 Springer-Verlag Berlin, Heidelberg

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Barr, A.D.S., Christides, S. (1987). One-Dimensional Theories for Cracked Beams. In: Elishakoff, I., Irretier, H. (eds) Refined Dynamical Theories of Beams, Plates and Shells and Their Applications. Lecture Notes in Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83040-2_31

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  • DOI: https://doi.org/10.1007/978-3-642-83040-2_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17573-5

  • Online ISBN: 978-3-642-83040-2

  • eBook Packages: Springer Book Archive

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