Advertisement

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
  • 66 Downloads
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

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.

Keywords

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

References

  1. 1.
    Fung YC (1955) On the vibration of thin cylindrical shells under internal pressure. The Ramo-Wooldridge Corporation - guided missile research division; Report No AM 5–8Google Scholar
  2. 2.
    Fung YC, Sechler EE, Kaplan A (1957) On the vibration of thin cylindrical shells under internal pressure. J Aer Sci 24(9):650–660MathSciNetCrossRefGoogle Scholar
  3. 3.
    Hu XJ, Redekop D (2004) Prestressed vibration analysis of a cylindrical shell with an oblique end. J Sound Vib 277:429–435CrossRefGoogle Scholar
  4. 4.
    Khalili SMR, Azarafza R, Davar A (2009) Transient dynamic response of initially stressed composite circular cylindrical shells under radial impulse load Compos Struct 89(2):275–84Google Scholar
  5. 5.
    Leissa AW (1973) Vibration of shells, washington DC: NASA SP-288Google Scholar
  6. 6.
    Casimir JB, Khadimallah MA, Nguyen MC (2016) Formulation of the dynamic stiffness of a cross-ply laminated circular cylindrical shell subjected to distributed loads. Comput Struct 166:42–50CrossRefGoogle Scholar
  7. 7.
    Harbaoui I et al (2018) A new prestressed dynamic stiffness element for vibration analysis of thick circular cylindrical shells. Int J Mech Sci 140:37–50CrossRefGoogle Scholar
  8. 8.
    Tj GH, Mikami T, Kanie S, Sato M (2006) Free vibration characteristics of cylindrical shells partially buried in elastic foundations. J Sound Vib 290:78593CrossRefGoogle Scholar
  9. 9.
    Thinh Nguyen (2013) Dynamic stiffness matrix of continuous element for vibration of thick cross-ply laminated composite cylindrical shells. Compos Struct 98(2013):93–102CrossRefGoogle Scholar

Copyright information

© 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

Personalised recommendations