Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method

CİVALEK Ö.

COMPOSITES PART B-ENGINEERING, cilt.111, ss.45-59, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 111
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.compositesb.2016.11.030
  • Dergi Adı: COMPOSITES PART B-ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.45-59
  • Anahtar Kelimeler: Vibration, Conical shell, Plates, Functionally graded material, CNT reinforced, Discrete singular convolution, COMPOSITE CONICAL SHELLS, GENERALIZED DIFFERENTIAL QUADRATURE, NONLINEAR ELASTIC FOUNDATIONS, RECTANGULAR-PLATES, NATURAL FREQUENCIES, CYLINDRICAL-SHELL, BUCKLING ANALYSIS, LAMINATED PLATES, STATIC ANALYSIS, ANNULAR PLATES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, free vibration analysis of conical and cylindrical shells and annular plates made of composite laminated and functionally graded materials (FGMs) is investigated. Carbon nanotubes reinforced (CNTR) composite case is also taken consideration for FGM. The equations of motion for conical shell are obtained via Hamilton's principle using the transverse shear deformation theory. To obtain the eigen-value problem of the system, the method of discrete singular convolution is employed. Material properties are graded in the thickness direction according to a volume fraction power law and four-parameter power law indexes for FGM cases. Five types of distributions of CNTR material are also considered. To verify the accuracy of this method, comparisons of the present results are made with results available in the open literature. Free vibrations of cylindrical shells and annular plates with FGM are treated as special cases. Results are also presented for carbon nanotubes reinforced (CNTR) composite cylindrical shells and annular plates. It is found that the convergence and accuracy of the present DSC method is very good for vibration problem of shells with functionally graded materials (FMG) and CNTR functionally graded materials. (C) 2016 Elsevier Ltd. All rights reserved.