Formulation of the Dynamic Stiffness Matrix of Prestressed Cross-Ply Laminated Circular Cylin-Drical Shell Subjected to Distributed Loads

  • Imen HarbaouiEmail author
  • Mohamed Amin Kadimallah
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


This paper describes a procedure for taking into account distributed loads in the calculation of the harmonic response of a cross-ply laminated circular cylindrical shell subjected to internal pressure using the dynamic stiffness method. Based on the first order shear deformation theory founded on love’s first approximation theory the dynamic stiffness matrix has been built from which natural frequencies are easily calculated. The vibration analysis is then validated with numerical examples to determine the performance of this model and the effect of presetress on the frequency spectrum. The response of the system is determined with applied equivalent loads on element boundaries. The described approach has many advantages compared to the finite element method, such as reducing the computing time with a minimum model size and higher precision.


Continuous element method Distributed loads/internal pressure Cross-ply laminated composite shell Dynamic stiffness method Harmonic response 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Laboratory of Applied Mechanics and EngineeringLR-MAI University Tunis El Manar-ENIT BP37- Le BelvédèreTunisTunisie
  2. 2.College of Engineering, Civil Engineering DepartmentPrince Sattam Bin Abdulaziz UniversityAl-KharjSaudi Arabia

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