Damped vibration of a non-prismatic beam with a rotational spring

• Autorzy: Sochacki W. , Bold M.
• Konferencja: Symposium “Vibrations In Physical Systems” (26 ; 04-08.05.2014 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In this paper a problem pertaining to the damped lateral vibrations of a beam with different boundary conditions and with a rotational spring is formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (Kelvin–Voigt rheological model) of the beam and from the resistance motion in the supports. The rotational spring can be mounted at any chosen position along the beam length. The influence of step changes in the cross-section of the beam on its damped lateral vibrations is also investigated in the paper. The damped vibration frequency and the vibration amplitude decay level are calculated. Changes in the eigenvalues of the beam vibrations along with the changes in the damping ratio and the change in the model geometry observed on it are also presented. The considered beam was treated as Euler- Bernoulli beam.

Słowa kluczowe

EN

vibration damping; non-prismatic beam; rotational spring

PL

tłumienie drgań; belka niepryzmatyczna; sprężyna rotacyjna

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2014
• Tom: Vol. 26
• Strony: 251--256
• Opis fizyczny: Bibliogr. 7 poz., 1 rys., wykr.

Twórcy

autor

Sochacki W.

• Institute of Mechanics and Fundamentals of Machinery Design, University of Technology, Czestochowa, Poland

autor

Bold M.

• Institute of Mechanics and Fundamentals of Machinery Design, University of Technology, Czestochowa, Poland

Bibliografia

• 1. M. I. Friswell, A. W. Lees, The modes of non-homogeneous damped beams, Journal of Sound and Vibration 242(2) (2001) 355-361.
• 2. W. Sochacki, Dynamic stability of discrete-continuous mechanical systems as working machine models, Monographic series 147, Czestochowa University of Technology, Czestochowa 2008.
• 3. A. Pau, F. Vestroni, Modal Analysis of a Beam with Radiation Damping: Numerical and Experimental Results, Journal of Vibration and Control 13(8) (2007), 1109-1125.
• 4. O. N. Kirrllov, A. O. Seyranin, The effect of small internal and external damping on the stability of distributed non-conservative systems, Journal of Applied Mathematics and Mechanics 69 (2005), 529-552.
• 5. M. Gürgöze, A. N. Doğruoğlu, S. Aeren, On the eigencharacteristics of a cantilevered visco-elastic beam carrying a tip mass and its representation by a springdamper-mass system, Journal of Sound and Vibration 301 (2007), 420-426.
• 6. Wei-Ren Chen, Bending vibration of axially loaded Timoshenko beams with locally distributed Kelvin–Voigt damping, Journal of Sound and Vibration 330 (2011), 3040–3056.
• 7. G. Oliveto, A. Santini, E. Tripodi, Complex modal analysis of flexural vibrating beam with viscous end conditions, Journal of Sound and Vibration 200 (1997), 327-345.