The Green's functions for vibration problems of circular plates with elastic ring supports

• Autorzy: Kukla S. , Szewczyk M.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with axisymmetric free vibration of a circular uniform plate. The formulation and solution of the problem take into account an arbitrary number of elastic concentric rings supporting the plate. The Green's function method was applied to solve the free vibration problem. The Green's functions were obtained to various boundary conditions. The obtained exact solution was used in a numerical analysis of an influence of the parameter characterizing the system on its free vibration frequencies.

Słowa kluczowe

EN

Green's functions; free vibration; circular plate; elastic ring supports

PL

funkcja Greena

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2004
• Tom: Vol. 3, nr 1
• Strony: 67--72
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Kukla S.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

autor

Szewczyk M.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

Bibliografia

• [1] Wang C.Y., Wang C.M., Fundamental frequencies of circular plates with internal elastic ring support, Journal of Sound and Vibration 2003, 263, 1071-1078.
• [2] Azimi S., Free vibration of circular plates with elastic edge supports using the receptance method, Journal of Sound and Vibration 1988, 120(1), 19-35.
• [3] Azimi S., Free vibration of circular plates with elastic or rigid interior support, Journal of Sound and Vibration 1988, 120(1), 37-52.
• [4] Laura P.A.A., Gutiérrez R.H., Vera S.A., Vega D.A., Transverse vibrations of circular plate with a free edge and a concentric circular support, Journal of Sound and Vibration 1999, 223(5), 843-845.
• [5] Gupta U.S., Jain S.K., Jain D., Method of collocation by derivatives in the study of axisymmetric vibrations of circular plates, Computers & Structures 1995, 57, 841-845.
• [6] Liew K.M., Lam K.Y., Transverse vibration of solid circular plates continuous over multiple concentric annular supports, ASME Journal of Applied Mechanics 1993, 60, 208-210.