Free transverse vibration analysis of an annular membrane

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

Abstrakty

EN

In the paper, transversal vibration of an annular membrane is studied using analytical methods and numerical simulation. The two mathematical models are analysed. The first model is treated as a continuous system. The general solution of the free vibrations are derived by the Bernoulli-Fourier 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 membrane are determined. The FE model is manually tuned to reduce the difference between the natural frequencies of the tuned and continuous models, respectively. It is important to note that the data presented in the paper is brought the practical advice to design engineers.

Słowa kluczowe

EN

annular membrane; transverse vibration; natural frequencies; mode shapes

PL

membrana pierścieniowa; drgania poprzeczne; drgania własne; postać drgań

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 283--288
• Opis fizyczny: Bibliogr. 7 poz., 1 il. kolor., 1 rys.

Twórcy

autor

Noga S.

• Faculty of Mechanical Engineering and Aeronautics, Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland

Bibliografia

• 1. C. de Silva, Vibration and shock handbook, Taylor & Francis, Boca Raton, 2005.
• 2. M. Friswell, J. Mottershead, Finite element model updating in structural dynamics, Kluwer Academic Publishers, Dordrecht, 1995.
• 3. M. Jabareen, M, Eisenberger, Free vibrations of non-homogeneous circular and annular membranes, J. of Sound and Vibration, 240 (2001) 409–429.
• 4. S. Kaliski, Vibrations and waves in solids, IPPT PAN, Warsaw, 1966 (in Polish).
• 5. P. Laura, C. Rossit, S. Malfa, Transverse vibrations of composite, circular annular membranes: exact solution, J. of Sound and Vibration, 216 (1998) 190–193.
• 6. S. Noga, Dynamical analysis of the low – power electrical engine rotor, Proceedings of the 10th European Mechanics of Materials Conference ″ Multi–phases and multi–components materials under dynamic loading ″, Kazimierz, Poland, 2007, 457–465.
• 7. Z. Oniszczuk, Vibration analysis of compound continuous systems with elastic constraints, Publishing House of Rzeszów University of Technology, Rzeszów, 1997 (in Polish).