Green’s function approach to frequency analysis of thin circular plates

• Autorzy: Żur K. K.

Identyfikatory

DOI

10.1515/bpasts-2016-0020

• Języki publikacji: EN

Abstrakty

EN

The free vibration analysis of homogeneous and isotropic circular thin plates by using the Green’s functions is considered. The formulae for construction of the influence function for all nodal diameters are presented in a closed form. The limited independent solutions of differential Euler equations were expanded in the Neumann power series using the method of successive approximation. This approach allows to obtain the analytical frequency equations as power series rapidly convergent to exact eigenvalues for different number of nodal diameters. The first ten dimensionless frequencies for eight different natural modes of circular plates are calculated. A part of obtained results have not been presented yet in open literature for thin circular plates. The results of investigation are in good agreement with selected results obtained by other methods presented in literature.

Słowa kluczowe

EN

free vibration; circular plates; Green's functions

PL

wolne wibracje; funkcja Greena

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2016
• Tom: Vol. 64, nr 1
• Strony: 181--188
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Żur K. K.

• Faculty of Management, Bialystok University of Technology, 2 Ojca Stefana Tarasiuka St., 16-001 Kleosin, Poland

Bibliografia

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• [14] J. Jaroszewicz and L. Zoryj, Methods of Free Axisymmetric Vibration Analysis of Circular Plates Using by Influence Functions, Bialystok University of Technology, Bialystok, 2005.
• [15] S. Azimi, “Free vibration of circular plates with elastic edge supports using receptance method”, J. Sound and Vibration 120, 37-52 (1988).
• [16] G. Duan, X. Wang, and Ch. Jin, “Free vibration analysis of circular thin plates with stepped thickness by the DSC element method”, Thin-Walled Structures 85, 25-33 (2014).
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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.