Load by a force directed towards a positive pole in the aspect of studies on vibrations of a column with crack

• Autorzy: Sokół K. , Uzny S.
• Konferencja: Symposium Vibrations In Physical Systems (27 ; 09-13.05.2016 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In this paper the results of numerical studies on natural vibration frequency and stability of a slender supporting system loaded by external force directed towards a positive pole are presented. In the investigated structure the failure in the form of crack is present. The boundary problem is formulated on the basis of the principle of minimum action – Hamilton’s principle. The results in the non-dimensional form are plotted as the characteristic curves in the external load – natural vibration frequency plane as well as the maximum loading capacity is discussed.

Słowa kluczowe

EN

column; crack; natural vibration; instability; characteristic curves

PL

kolumna; pęknięcie; drgania własne; niestateczność; krzywe charakterystyczne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2016
• Tom: Vol. 27
• Strony: 325--332
• Opis fizyczny: Bibliogr. 14 poz., rys., wykr.

Twórcy

autor

Sokół K.

• Częstochowa University of Technology, Dąbrowskiego 73, 42-200 Częstochowa

autor

Uzny S.

• Częstochowa University of Technology, Dąbrowskiego 73, 42-200 Częstochowa

Bibliografia

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• 4. T. G. Chondros, A. D. Dimarogonas., J. Yao., A continuous cracked beam vibration theory, J. Snd. and Vib., 215 (1998) 17 – 34.
• 5. A. D. Dimarogonas, N. Anifantis, Stability of columns with a single crack subjected to follower and axial loads, Int. J. Sld. and Struc., 19 (1999) 281 – 291.
• 6. K. Sokół, Linear and nonlinear vibrations of a column with an internal crack, J. Eng. Mech., 140 (2014) http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000719.
• 7. K. Sokół, S. Uzny., Instability and vibration of multi-member columns subjected to Euler’s load, Arch. App. Mech. DOI 10.1007/s00419-015-1068-6.
• 8. A. Gajewski, Pewne problem optymalnego kształtowania pręta ściskanego siłą skierowaną do bieguna, Mechanika Teoretyczna i Stosowana, 2(8) (1970) 159 – 173.
• 9. A. Gajewski, M. Życzkowski, Optymalne kształtowanie pręta ściskanego siłą skierowaną do bieguna, Rozprawy inżynierskie, 2(17) (1969) 299 – 329.
• 10. J. Szmidla, Free vibrations of a gamma type planar frame loaded by a follower force directed towards the positive pole, Vib. in Phys. Sys., 24 (2010) 405 – 410.
• 11. L. Tomski, J. Przybylski, M. Gołębiowska-Rozanow, J. Szmidla., Vibration and stability of a cantilever column subjected to a follower porce passing through a fixed point, J. Snd. And Vib, 214(1) (1998) 67 – 81.
• 12. L. Tomski, J. Szmidla., Free vibrations and stability of discrete systems subjected to the specific load, J. Theoret. App. Mech., 45(4) (2007) 873 – 892.
• 13. L. Tomski, S. Uzny., Free vibrations and the stability of a geometrically non-linear column loaded by a follower force directed towards the positive pole, Int. J. of Sol. Struct., 45(1) (2008) 1 – 24.
• 14. S. Uzny., Free vibrations of an elastically supported geometrically nonlinear column subjected to a generalized load with a force directed towards the positive pole, J. Eng. Mech. ASCE, 137(11) (2011) 740 – 748.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.