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Tytuł artykułu

On bifurcation load of a three-member slender system with an internal crack subjected to Euler’s load

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Języki publikacji
EN
Abstrakty
EN
The results of numerical simulations presented in this paper are concerned with instability of a three member slender system subjected to Euler load. The investigated column is built up as a flat frame composed of three rods. In the internal one, the defect is present in form of a crack. The boundary problem has been formulated on the basis of a static criterion of instability. The boundary conditions associated with different types of supports are obtained by proper selection of parameters of the generalized load. On the basis of these results, the magnitude of bifurcation load can be determined.
Słowa kluczowe
Rocznik
Strony
269--281
Opis fizyczny
Bibliogr. 26 poz., rys., tab.
Twórcy
autor
  • Częstochowa University of Technology, Institute of Mechanics and Machine Design Foundations, Częstochowa, Poland
autor
  • Częstochowa University of Technology, Institute of Mechanics and Machine Design Foundations, Częstochowa, Poland
Bibliografia
  • 1. Anifantis N., Dimarogonas A., 1983, Stability of column with a single crack subjected to follower and vertical loads, International Journal of Solids and Strucutres, 19, 4, 281-291
  • 2. Bochenek B., Życzkowski M., 2004, Analytical approach to optimization of columns for postbuckling behavior, Structural and Multidisciplinary Optimization, 28, 252-261
  • 3. Chandros T.G., Dimarogonas A.D., Yao J., 1998, A continuous cracked beam vibration theory, Journal of Sound and Vibration, 215, 1, 17-34
  • 4. Chati M., Rand R., Mukherjee S., 1997, Modal analysis of a cracked beam, Journal of Sound and Vibration, 207, 2, 249-270
  • 5. Gajewski A., Życzkowski M., 1970, Optimal design of elastic columns subject to the general conservative behaviour of loading, Journal of Applied Mathematics and Mechanics, 21, 806-818
  • 6. Ghadami A., Maghsoodi A., Miradamadi H.R., 2013, A new adaptable multiple-crack detection algorithm in beam-like structures, Archives of Mechanics, 65, 6, 469-483
  • 7. Godley M.H.R., Chilver A.H., 1970, Elastic buckling of overbraced frame, International Journal of Mechanical Sciences, 12, 4, 238-246
  • 8. Hjelmstad K.D., Shin S., 1996, Crack identification in a cantilever beam from modal response, Journal of Sound and Vibration, 198, 5, 527-545
  • 9. Kim K.-H., Kim J.-H., 2000, Effect of a crack on the dynamic stability of a free-free beam subjected to a follower force, Journal of Sound and Vibration, 233, 1, 119-135
  • 10. Krawczuk M., 1992, Finite Timoshenko-type beam element with a crack, Engineering Transections, 40, 2, 229-248
  • 11. Kukla S., 2009, Free vibrations and stability of stepped columns with cracks, Journal of Sound and Vibration, 319, 1301-1311
  • 12. Lueschen G.G.G., Bergman L.A., Mcfarland D.M., 1996, Green’s functions for uniform Timoshenko beams, Journal of Sound and Vibration, 194, 1, 93-102
  • 13. Masoud S., Jarrah M. A., Al-Maamory M., 1999, Effect of crack depth on the natural frequency of a prestressed fixed-fixed beam, Journal of Sound and Vibration, 214, 2, 201-212
  • 14. Narkis Y., 1994, Identification of crack location in vibrating simply supported beams, Journal of Sound and Vibration, 172, 4, 549-558
  • 15. Ostachowicz W. M., Krawczuk M., 1991, Analysis of the effect of cracks on the natural frequencies of a cantilever beam, Journal of Sound and Vibration, 150, 2, 191-201
  • 16. Rizos P.F., Aspragathos N., Dimarogonas A.D., 1990, Identification of crack location and magnitude in a cantilever beam from the vibration modes, Journal of Sound and Vibration, 138, 3, 381-388
  • 17. Shen M.-H.H., Taylor J.E., 1991, An identification problem for vibrating cracked beams, Journal of Sound and Vibration, 150, 3, 457-484
  • 18. Sokół K., 2014, Linear and nonlinear vibrations of a column with an internal crack, Journal of Engineering Mechanics, 140, 5
  • 19. Sokół K., Uzny S., 2015, Instability and vibration of multi-member columns subjected to Euler’s load, Archive of Applied Mechanics, DOI 10.1007/s00419-015-1068-6
  • 20. Tomski L., Szmidla J., Uzny S., 2007, The local and global instability and vibration of systems subjected to non-conservative loading, Thin-Walled Structures, 45, 10-11, 945-949
  • 21. Tomski L., Szmidla J., Uzny S., 2014, Active and passive specific loads with respect to the stability and free vibrations of columns, Journal of Engineering Mechanics, 140, 1, 193-205
  • 22. Tomski L., Uzny S., 2008, Free vibration and the stability of a geometrically non-linear column loaded by a follower force directed towards the positive pole, International Journal of Solids and Structures, 45, 1, 87-112
  • 23. Uzny S., 2011a, Free vibrations of an elastically supported geometrically nonlinear column subjected to a generalized load with a force directed toward the positive pole, Journal of Engineering Mechanics, 137, 11, 740-748
  • 24. Uzny S., 2011b, Local and global instability and vibrations of a slender system consisting of two coaxial elements, Thin-Walled Structures, 49, 618-626
  • 25. Zamorska I., Cekus D., Miara M., 2015, Effect of crack parameters on free vibrations of the Berrnoulli-Euler beam, Journal of Applied Mathematics and Computational Mechanics, 14, 4, 167-174.
  • 26. Zhang W., Wang Z., Ma H., 2009, Crack identification in stepped cantilever beam combining wavelet analysis with transform matrix, Acta Mechanica Solida Sinica, 22, 4, 360-368
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-51cdc2d8-102b-4881-b575-5524ca758dc6
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