Research Article
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Elastik zemin üzerine oturan tabakalı kompozit silindirik kabukların zorlanmış titreşim analizi üzerine eğriliğin etkisi

Year 2018, Volume: 24 Issue: 6, 960 - 966, 18.12.2018

Abstract

Bu çalışmada, elastik zemin üzerine oturan basit
mesnetli antisimetrik çapraz-katlı dizilimli tabakalı kompozit silindirik kalın
kabukların (LCS), zorlanmış titreşim analizi üzerine eğrilik oranının etkisi
sunulmaktadır. Bu analizlerde, zemin iki parametre ile modellendi. Bu modeller
Pasternak ve Winkler modelleridir. Hamilton prensipleri ile elastik zemin
üzerindeki tabakalı kompozit dikdörtgen kabukların hareket denklemleri elde
edilmiştir. Analizler, Laplace alanında elde edilmiştir. Modifiye Durbin
yöntemi ile çözümler Laplace alanından zaman alanına dönüştürülmüştür. Sayısal
sonuçlar grafikler şeklinde sunulmuştur.

References

  • Durbin F. “Numerical inversion of laplace transform: An efficient improvement to dubner and abate’s method”. Computer Journal, 17(4), 371-376, 1974.
  • Reissner E. “The effect of transverse shear deformation on the bending of elastic plates”. Journal of Applied Mechanics, 12, 69-77, 1945.
  • Lee YS, Choi MH, Kim J H. “Free vibrations of laminated composite cylindrical shells with an interior rectangular plate”. Journal of Sound and Vibration, 265 (4), 795-817, 2003.
  • Dogan A, Arslan HM. “Investigation of the effect of shell plan-form dimensions on mode-shapes of the laminated composite cylindrical shallow shells using SDSST and FEM”. Steel and Composite Structures, An Int\'l Journal, 12(4), 303-24, 2012.
  • Dogan A. Free Vibration Analysis of Laminated Composites Plates and Cylindrical Shallow Shells”. Ph.D. Thesis, Çukurova University, Adana, Turkey, 2009.
  • Dogan A, Arslan HM, Yerli HR. “Effects of anisotropy and curvature on free vibration characteristics of laminated composite cylindrical shallow shells”. Structural Engineering and Mechanics, 35, 493-510, 2010.
  • Lee YS, Choi MH, Kim JH. “Free vibrations of laminated composite cylindrical shells with an interior rectangular plate”. Journal of Sound and Vibration, 265(4), 795-817, 2003.
  • Sofiyev AH. “The buckling of a cross-ply laminated non-homogeneous orthotropic composite cylindrical thin shell under time dependent external pressure”. Structural Engineering and Mechanics, 14, 661-677, 2002.
  • Qatu MS. Vibration of Laminated Shells and Plates. Netherlands, Elsevier, 2004.
  • Reddy JN. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. USA, CRC Press, 2003.
  • Toh SL, Gong SW, Shim VPW. “Transient stresses generated by low velocity impact on orthotropic laminated cylindrical shells”. Composite Structures., 31(3), 213-228, 1995.
  • Temel B, Sahan MF. “Transient analysis of orthotropic viscoelastic thick plates in Laplace domain”. European Journal of Mechanics. -A/Solid, 37, 96-105, 2013.
  • Hui-Shen S, Zheng JJ, Huang XL. “Dynamic response of shear deformable laminated plates under thermomechanical loading and resting on elastic foundations”. Composite Structures, 60, 57–66, 2003.
  • Pasternak PL. “New method calculation for flexible substructures on two-parameter elastic foundation”. Gosudarstvennogo Izdatelstoo, Literatury po Stroitelstvui Architekture, Moskau 1954. pp. 1-56, 1954 (in Russian).
  • Akavci SS, Yerli HR. Dogan A. “The first order shear deformation theory for symmetrically laminated composite plates on elastic foundation”. The Arabian Journal for Science and Engineering, 32(2B), 341-8, 2007.
  • Civalek Ö. “Nonlinear dynamic response of laminated plates resting on nonlinear elastic foundations by the discrete singular convolution-differential quadrature coupled approaches”. Composite Part B: Engineering, 50, 171-79, 2013.
  • ANSYS. “Theory Reference Manual and ANSYS Element Reference”. http://www.ansys.com (10.06.2017).
  • MATHEMATICA.“Wolfram Research.” http://www.wolfram.com/ (10.06.2017).

The effect of curvature on transient analysis of laminated composite cylindrical shells on elastic foundation

Year 2018, Volume: 24 Issue: 6, 960 - 966, 18.12.2018

Abstract

This
study presents the effect of curvature ratio on transient vibration analysis of
simply supported antisymmetric thick cross-ply laminated composite shells (LCS)
on elastic foundation. In the analysis, the

foundation
is modeled with two parameters. These models are
Pasternak and Winkler models.

The
equation of motion for laminated rectangular shells
resting on elastic foundation is obtained through Hamilton’s principle. The
analysis is achieved in Laplace domain. By using modified Durbin’s algorithm,
calculations are transformed from Laplace domain to the time domain. The
numerical results are presented in the form of graphics
.

References

  • Durbin F. “Numerical inversion of laplace transform: An efficient improvement to dubner and abate’s method”. Computer Journal, 17(4), 371-376, 1974.
  • Reissner E. “The effect of transverse shear deformation on the bending of elastic plates”. Journal of Applied Mechanics, 12, 69-77, 1945.
  • Lee YS, Choi MH, Kim J H. “Free vibrations of laminated composite cylindrical shells with an interior rectangular plate”. Journal of Sound and Vibration, 265 (4), 795-817, 2003.
  • Dogan A, Arslan HM. “Investigation of the effect of shell plan-form dimensions on mode-shapes of the laminated composite cylindrical shallow shells using SDSST and FEM”. Steel and Composite Structures, An Int\'l Journal, 12(4), 303-24, 2012.
  • Dogan A. Free Vibration Analysis of Laminated Composites Plates and Cylindrical Shallow Shells”. Ph.D. Thesis, Çukurova University, Adana, Turkey, 2009.
  • Dogan A, Arslan HM, Yerli HR. “Effects of anisotropy and curvature on free vibration characteristics of laminated composite cylindrical shallow shells”. Structural Engineering and Mechanics, 35, 493-510, 2010.
  • Lee YS, Choi MH, Kim JH. “Free vibrations of laminated composite cylindrical shells with an interior rectangular plate”. Journal of Sound and Vibration, 265(4), 795-817, 2003.
  • Sofiyev AH. “The buckling of a cross-ply laminated non-homogeneous orthotropic composite cylindrical thin shell under time dependent external pressure”. Structural Engineering and Mechanics, 14, 661-677, 2002.
  • Qatu MS. Vibration of Laminated Shells and Plates. Netherlands, Elsevier, 2004.
  • Reddy JN. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. USA, CRC Press, 2003.
  • Toh SL, Gong SW, Shim VPW. “Transient stresses generated by low velocity impact on orthotropic laminated cylindrical shells”. Composite Structures., 31(3), 213-228, 1995.
  • Temel B, Sahan MF. “Transient analysis of orthotropic viscoelastic thick plates in Laplace domain”. European Journal of Mechanics. -A/Solid, 37, 96-105, 2013.
  • Hui-Shen S, Zheng JJ, Huang XL. “Dynamic response of shear deformable laminated plates under thermomechanical loading and resting on elastic foundations”. Composite Structures, 60, 57–66, 2003.
  • Pasternak PL. “New method calculation for flexible substructures on two-parameter elastic foundation”. Gosudarstvennogo Izdatelstoo, Literatury po Stroitelstvui Architekture, Moskau 1954. pp. 1-56, 1954 (in Russian).
  • Akavci SS, Yerli HR. Dogan A. “The first order shear deformation theory for symmetrically laminated composite plates on elastic foundation”. The Arabian Journal for Science and Engineering, 32(2B), 341-8, 2007.
  • Civalek Ö. “Nonlinear dynamic response of laminated plates resting on nonlinear elastic foundations by the discrete singular convolution-differential quadrature coupled approaches”. Composite Part B: Engineering, 50, 171-79, 2013.
  • ANSYS. “Theory Reference Manual and ANSYS Element Reference”. http://www.ansys.com (10.06.2017).
  • MATHEMATICA.“Wolfram Research.” http://www.wolfram.com/ (10.06.2017).
There are 18 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Ali Doğan 0000-0002-2825-8068

Publication Date December 18, 2018
Published in Issue Year 2018 Volume: 24 Issue: 6

Cite

APA Doğan, A. (2018). The effect of curvature on transient analysis of laminated composite cylindrical shells on elastic foundation. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 24(6), 960-966.
AMA Doğan A. The effect of curvature on transient analysis of laminated composite cylindrical shells on elastic foundation. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. December 2018;24(6):960-966.
Chicago Doğan, Ali. “The Effect of Curvature on Transient Analysis of Laminated Composite Cylindrical Shells on Elastic Foundation”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 24, no. 6 (December 2018): 960-66.
EndNote Doğan A (December 1, 2018) The effect of curvature on transient analysis of laminated composite cylindrical shells on elastic foundation. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 24 6 960–966.
IEEE A. Doğan, “The effect of curvature on transient analysis of laminated composite cylindrical shells on elastic foundation”, Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, vol. 24, no. 6, pp. 960–966, 2018.
ISNAD Doğan, Ali. “The Effect of Curvature on Transient Analysis of Laminated Composite Cylindrical Shells on Elastic Foundation”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 24/6 (December 2018), 960-966.
JAMA Doğan A. The effect of curvature on transient analysis of laminated composite cylindrical shells on elastic foundation. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2018;24:960–966.
MLA Doğan, Ali. “The Effect of Curvature on Transient Analysis of Laminated Composite Cylindrical Shells on Elastic Foundation”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, vol. 24, no. 6, 2018, pp. 960-6.
Vancouver Doğan A. The effect of curvature on transient analysis of laminated composite cylindrical shells on elastic foundation. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2018;24(6):960-6.

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