Application of Green's function method in frequency analysis of axisymmetric vibration of annular plates with elastic ring supports

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

Abstrakty

EN

The paper concerns the axisymmetric vibration of annular plates with concentric elastic ring supports. The formulation and solution to the problem take into account the plates with one edge clamped and another one free and arbitrary number of circular supports. The Green's function method is applied to obtain the exact solution of the problem in an analytical form. Presented numerical examples show the influence of the parameters characterizing the system on its free vibration frequencies.

Słowa kluczowe

EN

Green's functions; axisymmetric vibration; annular plates; frequency analysis; elastic ring supports

PL

funkcja Greena; analiza częstotliwości

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2005
• Tom: Vol. 4, nr 1
• Strony: 79--86
• Opis fizyczny: Bibliogr. 7 poz., rys., tab.

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] Laura P.A.A., Gutierrez R.H., Rossi R.E., Transverse vibration of a circular, annular plate with free edges and two, intermediate concentric circular supports, Journal of Sound and Vibration 1999, 226(5), 1043-1047.
• [2] Liu C.-F., Chen G.-T., A simple finite element analysis of axisymmetric vibration of annular and circular plates, Int. J. Mech. Sci. 1995, 37, 8, 861-871.
• [3] Vega D.A., Laura P.A.A., Vera S.A., Vibrations of an annular isotropic plate with one edge clamped or simply supported and an intermediate concentric circular support, Journal of Sound and Vibration 2000, 233(1), 171-174.
• [4] 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.
• [5] Wang C.M., Thevendran V., Vibration analysis of annular plates with concentric supports using a variant of Rayleigh-Ritz method, Journal of Sound and Vibration 1993, 163(1), 137-149.
• [6] Kukla S., Szewczyk M., The Green’s functions for vibration problems of circular plates with elastic ring supports, Scientific Research of the Institute of Mathematics and Computer Science Czestochowa University of Technology 2004, 1(3), 67-72.
• [7] Kukla S., Szewczyk M., Frequency analysis of annular plates with elastic concentric supports by using a Green’s function method, send to Journal of Sound and Vibration.