On influence of concentraced mass on instability and vibration of a column subjected to Euler's load

• Autorzy: Sokół K.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the results of numerical studies on vibration and instability of a geometrically nonlinear column subjected to Euler's load are presented. The system is loaded by external axial force P applied at the free end of the column. Additional concentrated mass is localised on one of column's rods. The Hamilton principle was used to formulate the boundary problem. Due to the geometrical nonlinearity, the solution of the problem was performed by means of the small parameter method. The main purpose of this paper is to investigate an influence of the concentrated mass on divergence instability and critical loading and natural vibration frequency.

Słowa kluczowe

EN

vibration; instability; Euler's load; geometrically nonlinear column

PL

drgania; niestateczność; obciążenie Eulera; kolumna geometrycznie nieliniowa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 2
• Strony: 93--101
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Sokół K.

• Institute of Mechanics and Machine Design Foundation, Czestochowa University of Technology, Poland,

Bibliografia

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• [2] Tomski L., Szmidla J., Uzny S., The local and global instability and vibration of the system subjected to non-conservative loading, Thin Walled Structures 2007, 45, 945-949.
• [3] Tomski L., Uzny S., Vibration and stability of geometrically nonlinear column subjected to generalized load with a force directed toward the positive pole, International Journal of Structural Stability and Dynamisc 2008, 8, 1, 1-23.
• [4] Tomski L., Uzny S., Free vibrations and stability of a geometrically nonlinear column loaded by a fllower force directed towards the positive pole, International Journal of Solids and Structures 2008, 45, 87-112.
• [5] Uzny S., An elastically supported geometrically nonlinear slender system subjected to a specific load in respect of bifurcation load and free vibrations, International Journal of Bifurcation and Chaos 2011, 21, 10, 2983-2992.
• [6] Kukla S., Free vibration and stability of stepped columns with cracks, Journal of Sound and Vibration 2009, 319, 3-5, 1301-1311.
• [7] Wang C.Y., Buckling of an internally hinged column with an elastic support, Engineering Structures 2002, 24, 357-1360.
• [8] Skalmierski B., Mechanika, PWN, Warszawa 1982, 283-285 (in Polish).
• [9] Osiński Z., Teoria drgań, PWN, Warszawa 1978, 52-54 (in Polish).