In plane flexural vibration of a ring interacting with the Winkler foundation

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

Abstrakty

EN

In this study the in plane flexural vibration of a system of circular ring interacting with elastic foundation is presented on the basis of the analytical method and numerical simulation. The elastic foundation is described by the Winkler model. At first the motion of the system is described by partial differential equations. The effect of rotary inertia and shear deformation is included. The general solution of the free vibration is derived by the separation of variable method and the boundary problem is solved. The second model is formulated by using finite element representations. The natural frequencies and natural mode shapes of vibration of the system are determined. The obtained results of calculation are discussed and compared for these two models. FE models are formulated by using ANSYS code. It is important to note that the data presented in the paper brings practical advice to design engineers.

Słowa kluczowe

EN

circular ring; in plane flexural vibration; Winkler foundation; Timoshenko's theory

PL

pierścień kołowy; drgania giętne w płaszczyźnie; podłoże Winklera; teoria Timoshenki

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 305--310
• Opis fizyczny: Bibliogr. 7 poz.., il. kolor., rys.

Twórcy

autor

Noga S.

• Faculty of Mechanical Engineering and Aeronautics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35–959 Rzeszów, Poland

autor

Markowski T.

• Faculty of Mechanical Engineering and Aeronautics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35–959 Rzeszów, Poland

Bibliografia

• 1. R. Bogacz, S. Dżuła, Dynamics and stability of a wheelset/track interaction modelled as nonlinear continuous system, Machine Dynamics Problems, 20 (1998) 23-34.
• 2. R. Bogacz, S. Noga, Free vibration of the Timoshenko beam interacting with Winkler foundation, in: Proceedings of the XVIIIth PTSK Conference, Zakopane, September 26-28, (2011) 14-17.
• 3. T. Markowski, S. Noga, S. Rudy, Modelling and vibration analysis of some complex mechanical systems, In: Baddour N., Recent advances in vibrations, Intech open access publisher, Rijeka, (2011) 143-168.
• 4. S. Noga, Free transverse vibration analysis of an elastically connected annular and circular double – membrane compound system, J. Sound Vib., 329 (2010) 1507-1522.
• 5. S. Noga, Free vibrations of an annular membrane attached to Winkler foundation, Vibrations in Physical Systems, vol. XXIV (2010) 295-300.
• 6. S. Rao, Vibration of Continuous Systems, Wiley, Hoboken 2007.
• 7. X. Wu, R. Parker, Vibration of rings on a general elastic foundation, J. Sound Vib., 295 (2006) 194-213.