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New linear spring stiffness definition for displacement analysis of cracked beam elements

  1. Matjaž Skrinar*,
  2. Tomaž Pliberšek

Article first published online: 27 DEC 2004

DOI: 10.1002/pamm.200410308

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PAMM

PAMM

Volume 4, Issue 1, pages 654–655, December 2004

Additional Information

How to Cite

Skrinar, M. and Pliberšek, T. (2004), New linear spring stiffness definition for displacement analysis of cracked beam elements. Proc. Appl. Math. Mech., 4: 654–655. doi: 10.1002/pamm.200410308

Author Information

  1. Faculty of Civil Engineering, Smetanova ul. 17, 2000 Maribor, Slovenia

*Phone: + 386 2 2294358, Fax: + 386 2 2524179

Publication History

  1. Issue published online: 27 DEC 2004
  2. Article first published online: 27 DEC 2004

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References

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    H. Okamura et al., A cracked column under compression, Engineering Fracture Mechanics. 1, (1969).
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    W. M. Ostachowicz and M. Krawczuk, Vibrational analysis of cracked beam, Computer and Structures 36(22, 245–250 (1990).
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    R. Y. Liang te al., Theoretical Study of Crack-Induced Eigenfrequency Changes on Beam Structures, J. of Engineering Mechanics 118(2, 384–396 (1992).
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    M. Krawczuk and W. M. Ostachowicz, Influence of a crack on the dynamic stability of a column, J. of Sound and Vibration 167(3, 541–555 (1993).
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    J. N. Sundermayer and R. L. Weaver, On crack identification and characterization in a beam by nonlinear vibration analysis, Theoretical and applied mechanics, TAM Report No. 743, UILU-ENG-93-6041 (1993).
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    W. M. Hasan, Crack detection from the variation of the eigenfrequencies of a beam on elastic foundation, Engineering Fracture Mechanics 52(3, 409–421 (1995).
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    M. Skrinar and A. Umek, Plane line finite element of beam with crack, Gradbeni vestnik 1/2, 2–7 (1996).
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    M. Skrinar: A simple FEM beam element with an arbitrary number of cracks, Internationales Kolloquium über Anwendungen der Informatik und Mechanik in Architektur und Bauwesen IKM, Weimar 1997, Universität Weimar, (1997).
  • [9]
    M. Skrinar, Simple model for the vertical displacements computation of a single cracked cantilever under tension loads, ZAMM 80 S2 (2000).
  • [10]
    P. F. Rizos et al., Identification of crack location and magnitude in a cantilever beam from the vibration modes, J. of Sound and Vibration 138, (1990).
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    B. Štrancar and A. Kuhelj, Vpliv razpoke na lastne upogibne frekvence nosilcev, Proc. Kuhljevi dnevi 95., (1995).
  • [12]
    M. Skrinar, Dynamical analysis of frame type structures with local stiffness reductions by a new finite element based on the dynamic stiffness and mass matrices,11th International Conference CMEM XI, Halkidiki, Greece, pp. 3–12,(2003).
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