Frequency analysis of composite annular membranes

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

Abstrakty

EN

In this paper, the free vibration of an annular membrane consisting of three concentric segments is considered. The frequency equation and mode shapes are obtained by the use of the Green's function method. A numerical example to vibration problem of nonhomogeneous annular membrane is presented.

Słowa kluczowe

EN

frequency analysis; composite annular membranes; free vibration; Green's functions

PL

analiza częstotliwości; 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: 129--135
• Opis fizyczny: Bibliogr. 6 poz., rys., tab.

Twórcy

autor

Zamorska I.

autor

Kukla S.

autor

Siedlecka U.

• 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] Lee Y.-T., Chen I-L., Chen J.-T., Eigensolution of annular membrane using the method of fundamental solutions, The 27th Conference on Theoretical and Applied Mechanics, Taiwan, R.O.C., 12-13 December 2003.
• [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.