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Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method

Cilt: 16 Sayı: 1 30 Haziran 2003
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Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method

Öz

Numerical solution to static and free vibration analysis of thin circular and annular plates having various supports and load conditions are obtained by the method of Harmonic Differential Quadrature (HDQ). Bending moments, normal stress, and deflections of circular plate are found for uniformly distributed, central concentrated, and non-uniformly loads. Both clamped and simply supported edges are considered as boundary conditions. Results are obtained by using various number of grid points. The obtained results are compared with existing solutions available from other numerical methods and analytical results. The method presented gives efficient accurate results for the deflection and bending analysis of circular plates.

Anahtar Kelimeler

Harmonic differential quadrature,circular plates,annular plates,free vibration,deflection,bending moment,stress

Kaynakça

  1. [1] Timoshenko S., and Krieger W.S., “Theory Of Plates And Shells”, New York: 2nd Ed. McGraw-Hill, 1959.
  2. [2] Civalek Ö. “Finite Element analysis of plates and shells”, Elazığ: Fırat University, (in Turkish)1998.
  3. [3] Szilard, R, “Theory and Analysis of Plates: Classical and Numerical Methods”. Prentice-Hall, Englewood cliffs, NJ, 1974.
  4. [4] Melerski, E., “Circular Plates Analysis By Finite Differences: Energy Approaches”, J. of Eng. Mech., ASCE, 115, 1205-1225,1989.
  5. [5] Pardoen, G.C, and Hagen, R.L., “Symmetrical Bending Of Circular Plates Using Finite Elements”, Computers and Structure, 2, 547-553,1972.
  6. [6] Ugural A.C., “Stress In Plates And Shells”, Mc Graw Hill Companies, 1999.
  7. [7] Bellman R., Casti J., “Differential Quadrature And Long-Term Integration”, Journal of Math. Analysis and App., 34, 235-238,1971.
  8. [8] Bert C.W., Jang S.K., Striz AG., “Two New Approximate Methods For Analyzing Free Vibration Of Structural Components”, AIAA Journal , 26 (5), 612-618,1987.
  9. [9] Du H., Lim M.K., Lin, R.M., “Application Of Generalized Differential Quadrature Method To Structural Problems”. Int. J. Numerical Meth. Engng.,37, 1881-1896,1994.
  10. [10] Civalek Ö., “Static, Dynamic And Buckling Analysis Of Elastic Bars Using DQ”, XVI. National Technical Engineering Symposium, Ankara, METU, 2001.

Kaynak Göster

APA
Civalek, Ö., & Çatal, H. H. (2003). Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi, 16(1), 43-71. https://izlik.org/JA28RB44EM
AMA
1.Civalek Ö, Çatal HH. Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method. ESOGÜ Müh Mim Fak Derg. 2003;16(1):43-71. https://izlik.org/JA28RB44EM
Chicago
Civalek, Ömer, ve Hikmet H. Çatal. 2003. “Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method”. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 16 (1): 43-71. https://izlik.org/JA28RB44EM.
EndNote
Civalek Ö, Çatal HH (01 Haziran 2003) Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 16 1 43–71.
IEEE
[1]Ö. Civalek ve H. H. Çatal, “Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method”, ESOGÜ Müh Mim Fak Derg, c. 16, sy 1, ss. 43–71, Haz. 2003, [çevrimiçi]. Erişim adresi: https://izlik.org/JA28RB44EM
ISNAD
Civalek, Ömer - Çatal, Hikmet H. “Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method”. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 16/1 (01 Haziran 2003): 43-71. https://izlik.org/JA28RB44EM.
JAMA
1.Civalek Ö, Çatal HH. Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method. ESOGÜ Müh Mim Fak Derg. 2003;16:43–71.
MLA
Civalek, Ömer, ve Hikmet H. Çatal. “Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method”. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi, c. 16, sy 1, Haziran 2003, ss. 43-71, https://izlik.org/JA28RB44EM.
Vancouver
1.Ömer Civalek, Hikmet H. Çatal. Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method. ESOGÜ Müh Mim Fak Derg [Internet]. 01 Haziran 2003;16(1):43-71. Erişim adresi: https://izlik.org/JA28RB44EM