Free vibration of composite circular membranes

• Autorzy: Siedlecka U. , Kukla S. , Zamorska I.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the object of consideration is a membrane consisting of one circular and two annular segments. The Green's functions method for the free vibration of this membrane is applied. A numerical example illustrating this method is given.

Słowa kluczowe

EN

free vibration; composite circular membranes; Green's functions

PL

drgania swobodne; funkcja Greena

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 1
• Strony: 99--105
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Siedlecka U.

autor

Kukla S.

autor

Zamorska I.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Laura P.A.A., Rossit C.A., La Malfa S., Transverse vibrations of composite, circular annular membranes: exact solution, Journal of Sound and Vibration 1998, 216(1), 190-193.
• [2] Rossit C.A., La Malfa S., Laura P.A.A., Antisymmetric modes of vibrations of composite, doubly- connected membranes, Journal of Sound and Vibration 1998, 217(1), 191-195.
• [3] Marciniec A., Noga S., Natural frequencies and mode shapes of a composite annular membrane, Vibrations in Physical Systems 2010, 24, 277-282.
• [4] Duffy D.G., Green’s Functions with Applications, Chapman & Hall/CRC, Boca Raton, Washington 2001.
• [5] Kukla S., Siedlecka U., Zamorska I., Green’s functions for interior and exterior Helmholtz problems, Scientific Research of the Institute of Mathematics and Computer Science Czestochowa University of Technology 2012, 1(11), 53-62.
• [6] Wolfram S., The Mathematica Book, Wolfram Media, 5th ed., 2003.