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Steel and Composite Structures
  Volume 12, Number 4, April 2012 , pages 303-324
DOI: https://doi.org/10.12989/scs.2012.12.4.303
 


Investigation of the effect of shell plan-form dimensions on mode-shapes of the laminated composite cylindrical shallow shells using SDSST and FEM
Ali Dogan* and H. Murat Arslan

 
Abstract
    This paper presents the mode-shape analysis of the cross-ply laminated composite cylindrical shallow shells. First, the kinematic relations of strains and deformation are given. Then, using Hamilton\'s principle, governing differential equations are developed for a general curved shell. Finally, the stress-strain relation for the laminated, cross-ply composite shells are obtained. By using some simplifications and assuming Fourier series as a displacement field, the governed differential equations are solved by the matrix algebra for shallow shells. Employing the computer algebra system called MATHEMATICA; a computer program has been prepared for the solution. The results obtained by this solution are compared with the results obtained by (ANSYS and SAP2000) programs, in order to verify the accuracy and reliability of the solution presented.
 
Key Words
    structural composites; vibration; anisotropy; shell theory; finite element method (FEM)
 
Address
Ali Dogan: Department of Civil Engineering, Mustafa Kemal University, 31200 Hatay, Turkey
H. Murat Arslan : Department of Civil Engineering, Cukurova University, 01330 Adana, Turkey
 

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