Düzlem-içi yüklenmiş basit destekli simetrik katmanlı dikdörtgen kompozit ince plakların burkulma ve titreşimi

Bu çalışmada, tek eksenli düzlem-içi uniform yükler etkisindeki tüm kenarları basit destekli simetrik açılı-katmanlı kompozit plakların titreşim frekansları verilmiştir. Düzlem-içi yükler incelenen plakların kritik burkulma yüklerinin belirli oranları olarak seçilmiştir. Basit destekli açılı-katmanlı kompozit plakların burkulma ve titreşim problemlerine analitik bir çözüm bulmak mümkün olmadığından, problemin çözümünde yer değiştirme bileşeninin trigonometrik olarak seçildiği Ritz yöntemi kullanılmıştır. Sonuçların doğruluğunu göstermek amacıyla yakınsama çalışmaları verilmiştir. Elyaf yönlenme açısı, katman sayısı, kenar oranları ve farklı malzemelerin düzlem-içi yüklü kompozit plakların titreşimi üzerindeki etkileri araştırılmıştır.

Buckling and vibration of in-plane loaded simply supported symmetrically laminated rectangular thin composite plates

In this study, accurate numerical results are presented for the vibration frequencies of uniform uniaxially in-plane loaded simply supported, rectangular, angle-ply laminated plates. In-plane loads are chosen as certain ratios of the critical buckling loads of the plates investigated. The Ritz method, along with the displacement component assumed in the form of a double sine series, is applied in order to solve the vibration and buckling problems of angle-ply laminated plates, which can not be solved analytically. Convergence studies are presented to demonstrate the accuracies of the results and the effects of fiber orientation angle, side ratios and different materials on the frequencies of in-plane loaded composite plates are investigated.

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  • 1-AYDOGDU M, TIMARCI T. Buckling and vibration analysis of laminated composite plates on the basis of a higher order theory. Proceedings of 2nd European Conference on Computational Mechanics, 26-29 June 2001, Cracow, Poland.
  • 2-BAHARLOU B, LEISSA AW. Vibration and buckling of generally laminated composite plates with arbitrary edge conditions. Int. J. Mechanical Sciences 29: 545-555,1990.
  • 3-BRUNELLE EJ, ROBERTSON SR. Vibrations of initially stressed thick plate. Journal of Sound and Vibration, 45:405-416, 1976.
  • 4-DONG JL. Vibration and stability of an initiallly stressed thick plate according to a higher-order theory. Journal of Sound and Vibration, 113: 425-440, 1987.
  • 5-FISHER CA, EWING MS, LEISSA AW. Vibrations of unsymmetrically laminated plates subjected to m-plane initial stresses. Composite Structures Vol.1, Proceedings of the 4th International Conference on Composite structures, 27-29, 1987, Paisley, Scotland.
  • 6-GIBSON RF. Principles of Composite Materials Mechanics, McGraw-Hill International Editions, 1994.
  • 7-GORMAN DJ. Free vibration and buckling of in-plane loaded plates with rotational elastic edge support. Journal of Sound and Vibration, 229: 755-773, 2000.
  • 8-LEISSA AW. A review of laminated composite plate buckling. Applied Mechanics Rewiew. 40: 575-591, 1987.
  • 9-MATSUNAGA H. Vibration of cross-ply laminated composite plates subjected to initial in-plane stresses. Thin-Walled Structures, 40: 557-571, 2002.
  • 10-NARITA Y, LEISSA AW. Buckling studies for simply supported symmetrically laminated rectangular plates. Int. J. Mechanical Sciences 32: 909-924, 1990.
  • 11-NARITA Y, LEISSA AW. Frequencies and mode shapes of cantilavered laminated composite plates. Journal of Sound and Vibration, 154: 161-172, 1992.
  • 12-NOOR AK, BURTON WS. Assesment of Shear Deformation Theories for Multilayered Composite Plates. Applied Mechanics Review, 42: 1-13, 1989.
  • 13-QATU MS. Free vibration of laminated composite rectangular plates. Int. J. Solids and Structures 28: 941-954, 1991.
  • 14-RAO GV. A simple formula to Predict the Fundamental frequency of initially stressed square plates. Journal of Sound and Vibration, 246: 185-189, 2001.