The dynamic stability of beams with step changes in cross-section

• Autorzy: Sochacki W.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The influence of step changes in cross-section of beams with different boundary conditions on their dynamic stability was investigated in the paper. The change in the crosssections took place in an optional location along the beam length. The investigated beams were axially loaded by a force in the form P(t)= P0+Scosνt. The problem of dynamic stability was solved by applying the mode summation method. The obtained Mathieu equation allowed the dynamic stability of tested systems to be analysed. The analysis relied on testing the influence of step changes in beam cross-sections and their locations on the value of coefficient b in the Mathieu equation. The considered beams were treated as Euler- Bernoulli beams.

Słowa kluczowe

EN

dynamic stability; Mathieu equation; eigenfunctions; beams

PL

stateczność dynamiczna; równanie Mathieu; funkcja własna; belki

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 327--333
• Opis fizyczny: Bibliogr. 8 poz., 1 rys., wykr.

Twórcy

autor

Sochacki W.

• Institute of Mechanics and Machine Design Foundations, Częstochowa University of Technology, ul. Dąbrowskiego 73, 42–200 Częstochowa

Bibliografia

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• 3. S. Naguleswaran, Vibration of an Euler-Bernoulli beam on elastic end supports and with up to three step changes in cross-section, Mechanical Sciences 44 (2002) 2541- 2555.
• 4. S. Kukla, I. Zamojska, Frequency analysis of axially loaded stepped beams by Green’s function method, Journal of Sound and Vibration 300 (2007) 1034-1041.
• 5. T. Iwatsubo, Y. Sugijama, S. Ogino, Simple and combination resonanses of columns under periodic axial loads, Journal of Sound and Vibration 33(2) (1974) 211-221.
• 6. O. J. Aldraihem, A. Baz, Dynamic stability of stepped beams under moving loads, Journal of Sound and Vibration 205(5) (2002) 835-848.
• 7. Craig Jr., R. R., Structural Dynamics, New York, Wiley ( 1981).
• 8. S. P. Timoshenko, J. E. Gere, Theory of Elastic Stability, Mc Graw–Hill – INC. (1961).