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Free Vibrations of the Slender Non-Prismatic Column Under the Specific Load Regarding the Joint Flexibility

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The issue of the free vibrations of the non-prismatic rod subjected to the selected case of the specific load has been studied. In the carried out simulations, a flexibility of a constructional joints modelled by the translational and rotational springs at the point of mounting or on the free end of analysed system was taken into account. The shape of rod was approximated by linear function and by polynomial of degree 2, under the condition of constant volume of the column. After prior definition of total mechanical energy, a differential equations of motion as well as a boundary conditions were formulated on the basis of the Hamilton’s principle. The results of the numerical calculations refer to an influence of variable cross-section of the rod, joint flexibility and a geometry of a loading structure on the value of the frequency of free vibrations due to the external load (a characteristic curves) and on the critical load.
Rocznik
Strony
79--89
Opis fizyczny
Bibliogr. 9 poz., wykr.
Twórcy
autor
  • Częstochowa University of Technology, Institute of Mechanics and Machine Design Foundations
  • Częstochowa University of Technology, Institute of Mechanics and Machine Design Foundations
Bibliografia
  • 1. Aristizabal Ochoa, J. D. (2012). Stability and minimum lateral bracing for stepped columns with semi-rigid connections including shear effects: I) theory. Dyna, 79(174):96–106.
  • 2. Demirdağ, O. (2008). Free vibration analysis of elastically supported Timoshenko columns with attached masses by transfer matrix and finite element methods. Sadhana, 33(1):57–68.
  • 3. Demirdag, O. and Yesilce, Y. (2011). Solution of free vibration equation of elastically supported timoshenko columns with a tip mass by differential transform method. Advances in Engineering Software, 42(10):860–867.
  • 4. Ihaddoudène, A. and Jaspart, J.-P. (2013). Stability of non-sway steel frames with semi-rigid connections. In Proceeding of the Fourtheenth International Conference on Civil, Structural and Environmental Engineering Computing. Civil-Comp Press.
  • 5. Rezaiee-Pajand, M., Shahabian, F., and Bambaeechee, M. (2015). Stability of semirigid portal frames with tapered columns and lateral support. Asian Journal of Civil Engineering (BHRC), 16(2):135–159.
  • 6. Szmidla, J. and Wiktorowicz, J. (2016). An influence of the geometrical nonlinearity of a frame column of flat frame type g subjected to the follower force directed towards the positive pole on its stability. Journal of Applied Mathematics and Computational Mechanics, 15(3):155–165.
  • 7. Tomki, L., Przybylski, J., and Podgórska, I. (1998). Influence of a joint flexibility of a column loaded by a certain type of the loading upon its vibrations and stability. Proceedings of the XVIIIth Symposium ‘Vibrations in Physical Systems’, Poznań, pages 261–262.
  • 8. Tomski, L., Podgórska-Brzdękiewicz, I., and Szmidla, J. (2003). Drgania i stateczność kolumn poddanych obciążeniu uogólnionemu z siłą skierowaną do bieguna z uwzględnieniem podatności węzłów konstrukcyjnych. Stability of Structures Xth Symposium, Zakopane, pages 407–414.
  • 9. Xu, L. (2000). Critical buckling loads of semi-rigid steel frames. Proceedings of AISC Fourth International Workshop on Connections in Steel Structures, Roanoke V A USA, pages 117–129.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-614d04ac-f4ac-4b43-9f46-5981c242937f
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