Free vibration of annular plates of stepped thickness resting on Winkler elastic foundation

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

Abstrakty

EN

This paper concerns axisymmetric free vibration of annular plates of stepped thickness resting on Winkler elastic foundation. Exact solution to vibration problem was obtained by dividing of considered plate into uniform annular plates and by using the Green's function method. Numerical examples are presented.

Słowa kluczowe

EN

stepped annular plates; free vibration; Winkler elastic foundation

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2007
• Tom: Vol. 6, nr 1
• Strony: 109-116
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Kukla, S.

autor

Szewczyk, M.

• Institute of Mathematics and Computer Sciences, Technical University of Czestochowa, Poland,

Bibliografia

• [1] Avalos D.R., Larrondo H.A., Sonzogni V., Laura P.A.A., A general approxima te solution of the problem of free vibrations of annular plates of stepped thickness, Journal of Sound andVibration 1996, 196, 3, 275-283.
• [2] Gutierrez R.H., Laura P.A.A., Fundamental frequency of an annular circular plate of nonuniform thickness and an intermediate concentric circular support, Journal of Sound and Vibration 1999, 224, 4, 775-779.
• [3] Kukla S., Szewczyk M., Analiza drgań własnych płyt pierścieniowych o skokowo zmiennej grubości, Modelowanie Inżynierskie, Tom 1, Nr 32, Gliwice 2006, 331-338.
• [4] Kukla S., Szewczyk M., Free vibration of annular and circular plates of stepped thickness. Application of Green’s function method, Scientific Research of the Institute of Mathematics and Computer Science 2006, 1, 5, 46-54.
• [5] Celep Z., Turhan D., Axisymmetric vibrations of circular plates on tensionless elastic foundation, Journal of Applied Mechanics 1990, vol. 57, 677-681.
• [6] Utku M., Citipitioğlu E., Inceleme I., Circular plates on elastic foundation modelled with annular plates, Computers and Structures 2000, 78, 365-374.
• [7] Sargand S.M., Das Y.C., Jayasuriya A.M., A refined model for dynamic analysis of circular plates on elastic foundations, Journal of Sound and Vibration 1992, 157(2), 233-241.
• [8] Kukla S., Szewczyk M., Frequency analysis of annular plates with elastic concentric supports by using a Green’s function method, Journal of Sound and Vibration 2007, 300(1-2), 387-393.
• [9] Szewczyk M., Zastosowanie metody funkcji Greena w zagadnieniach drgań własnych płyt i układów płyt kołowych i pierścieniowych, praca doktorska, Częstochowa 2007.
• [10] McLachlan N.W., Funkcje Bessela dla inżynierów, PWN, Warszawa 1964.