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WINKLER ELASTİK ZEMİNE OTURAN DAİRESEL PLAKALARIN GEOMETRİC BAKIMDAN LİNEER OLMAYAN DİNAMİK ANALİZİ

DYNAMIC ANALYSIS OF GEOMETRICALLY NONLINEAR CIRCULAR PLATES ON WINKLER FOUNDATION

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Abstract (2. Language): 
Geometrically nonlinear analysis of thin circular plates on Winkler elastic foundations has been studied in this paper. The nonlinear partial differential equations obtained from von Karman’s large deflection plate theory have been solved by using the discrete singular convolution (DSC) in the space domain and the harmonic differential quadrature (HDQ) method in the time domain.
Abstract (Original Language): 
Bu çalışmada Winkler elastik zemine oturan ince dairesel plakların geometrik bakımdan lineer olmayan analizi verilmiştir. Von Karman teorisi ile elde edilen non-lineer denklem, konum değişkeni için ayrık tekil convolution tekniği, zaman değişkeni için harmonik diferansiyel quadrature metodu ile çözülmüştür.
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REFERENCES

References: 

[1] Civalek Ö,. “Finite Element analysis of plates and shells”, Elazığ, Fırat University, (in
Turkish), Seminar Manuscript, 1998.
[2] Leissa, A.W., “Vibration of plates”, NASA, SP-160., 1973.
[3] Chia, C.Y., “Nonlinear analysis of plates”, Mc-Graw Book Co., New York, N.Y., 1980.
[4] Soedel, W., “Vibrations of shells and plates”, Second Edition, Revised and Expanded,
Marcal Dekker, Inc., New York, 1996.
[5] Vlasov, V.Z., and Leont’ev N.N., “Beams, Plates and Shells on Elastic foundations”,
Translated from Russion to Enghlish by Barouch, A, Israel Program for scientific
translations, Jarusalem., 1966
[6] Way, S., “Bending of circular plates with large deflection”, Trans. Am. Soc. Mech. Eng.,
56: 627-636, 1934.
[7] Nath, Y., “Large amplitude response of circular plates on elastic foundations”, Int. J.
Non-Linear Mechancis, 17(4): 285-296, 1982.
[8] Kocatürk T., ‘’Determination of the steady state response of viscoelastically pointsupported rectangular anisotropic (orthotropic) plates’’, Journal of Sound and Vibration,
213(4):665-672,1998.
[9] Sathyamorth, M., “Nonlinear vibration analysis of plates: A review and survey of current
developments”, Appl. Mech. Rev., 40: 1533-1561, 1987.
[10] Leissa, A.W., “Recent studies in plate vibration 1981-1985:Classical theory”, Shock
Vibration Digest, 19:11-18, 1987.
[11] Striz A.G, Wang X, and Bert C.W., “Harmonic differential quadrature method and
applications to analysis of structural components”, Acta Mechanica,111:85-94, 1995.
[12] Shu, C.,and Xue, H., “Explicit computations of weighting coefficients in the harmonic
differential quadrature”, J. of Sound And Vibration, 204(3): 549-555, 1997.
[13] Civalek, Ö., “Application of differential quadrature (DQ) and harmonic differential
quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns”,
Engineering Structures, An International Journal, 26(2): 171-186, 2004.
[14] Civalek, Ö., Ülker, M., “Harmonic differential quadrature (HDQ) for axisymmetric
bending analysis of thin isotropic circular plates”, International Journal of Structural
Engineering and Mechanics, Vol. 17(1), 1-14, 2004.
[15] Civalek, Ö., “Geometrically non-linear static and dynamic analysis of plates and shells
resting on elastic foundation by the method of polynomial differential quadrature (PDQ)”,
PhD. Thesis, Fırat University, (in Turkish), Elazığ, 2004.
[16] Civalek, Ö., “Linear and nonlinear dynamic response of multi-degree-of freedom-systems
by the method of harmonic differential quadrature (HDQ)”, PhD. Thesis, Dokuz Eylül
University, İzmir, (in Turkish), 2003.
[17] Fung, T.C., “Stability and accuracy of differential quadrature method in solving dynamic
problems”, Computer Methods Appl.Mech.Engrg,191, 1311-1331, 2002.
[18] Wei G.W., “Discrete singular convolution for the solution of the Fokker –Planck
equations” J Chem Phys, 110:8930-8942,1999.
[19] Wei, G.W., Zhou Y.C., Xiang, Y., “A novel approach for the analysis of high-frequency
vibrations”, Journal of Sound and Vibration, 257(2): 207-246, 2002.
[20] Wei G.W., “A new algorithm for solving some mechanical problems”, Comput. Methods
Appl. Mech. Engng, 190:2017-2030, 2001.
[21] Wei, G.W., “Vibration analysis by discrete singular convolution”, Journal of Sound and
Vibration, 244: 535-553,2001.
[22] Wei, G.W., “Discrete singular convolution for beam analysis”, Engineering Structures,
23: 1045-1053,2001.
[23] Wei, G.W., Zhou Y.C., Xiang, Y., “Discrete singular convolution and its application to
the analysis of plates with internal supports. Part 1: Theory and algorithm”, Int J Numer
Methods Eng., 55:913-946,2002.
[24] Zhao, Y.B., Wei, G.W. and Xiang, Y., “Discrete singular convolution for the prediction of
high frequency vibration of plates”, Int. J. Solids Struct.,39:65-88,2002.
[25] Bathe K.J., “Finite element procedures in engineering analysis”, Englewood Cliffs. NJ,
Prentice-Hall,1982.

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