Vibrations of a column consisting of a pipe and rod with a viscoelastic layer subjected to Euler’s load

• Autorzy: Uzny S.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The boundary problem concerning the free vibrations of a geometrically non-linear slender system subjected to a load by a force, unchanging in its direction (Euler’s force), is formulated and solved in the work. The considered column is a pipe with a focally mounted rod. A layer made of viscoelastic material is placed between the pipe and the rod. The Kelvin-Voigt model of this layer is taken into account to formulate the boundary problem. Numerical calculations connected to the free vibrations of the considered system are carried out on the basis of the boundary problem. Numerical simulations are assigned to different values of the parameters of the system for which the rigidity and damping parameters of the viscoelastic layer are ranked.

Słowa kluczowe

EN

column; free vibrations; Euler load; Kelvin-Voigt’s model

PL

kolumna; drgania swobodne; obciążenie Eulera; model Kelvina-Voigta

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 435--440
• Opis fizyczny: Bibliogr. 10 poz., rys., wykr.

Twórcy

autor

Uzny S.

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

Bibliografia

• 1. L. Tomski, Prebuckling Behaviour of Compound Column – Direct Nonlinear Analysis, Z. Angew. Math. U. Mech. 65(1) (1985) 59-61.
• 2. L. Tomski, J. Szmidla, S. Uzny, The Local and Global Instability and Vibration of Systems Subjected to Non-Conservative Loading, Thin-Walled Struct., 45(10-11) (2007) 945-949.
• 3. L. Tomski L., S. Uzny, Free vibration and the stability of a geometrically non-linear column loaded by a follower force directed towards the positive pole, Int. J. Solids Struct., 45(1) (2008) 87-112.
• 4. J. Przybylski, L. Tomski, Vibration of an Initially Prestressed Compound Column under Axial Compression, Elsevier Science Publishers B.V. (1992) 263-268.
• 5. S. Uzny, Nieliniowa składowa częstości drgań własnych kolumny poddanej obciążeniu Eulera (krzywoliniowa postać równowagi statycznej), Modelowanie Inżynierskie, 11(42) (2011) 441-448.
• 6. S. Uzny, Local and global instability and vibrations of a slender system consisting of two coaxial elements, Thin-Walled Struct., 49 (2011) 618-626.
• 7. A. Di Egidio, A. Luongo, A. Paolone, Linear and non-linear interactions between static and dynamic bifurcations of damped planar beams, Int. J. Non-linear Mech., 42 (2007), 88-98.
• 8. K. A. Mladenov, Y. Sugiyama, Stability of a jointed free-free beam under end rocket thrust, J. Sound Vib., 199(1) (1997) 1-15.
• 9. A. Luongo, A. Di Egidio, Bifurcation Equations Through Multiple-Scales Analysis for a Continuous Model of a Planar Beam, Nonlinear Dyn., 41 (2005) 171-190.
• 10. M. Abu-Hilal, Dynamic response of a double Euler–Bernoulli beam due to a moving constant load, J. Sound Vib., 297 (2006) 477-491.