Basic Finite Element Formulation for Vibrating Axisymmetric Shells

  • Ernest Hinton
  • Johann Sienz
  • Mustafa Özakça


This chapter deals with the free vibration analysis of SORs using the FE method. A family of variable-thickness, curved, C(0), MR axisymmetric FEs that include shear deformation and rotatory inertia effects is presented. The accuracy, convergence and efficiency of these newly developed elements are explored through a series of free-vibration analyses of axisymmetric shell structures and the results are compared with those obtained by other analytical and numerical methods. An interesting feature of the chapter is a brief study of the vibrational behaviour of church bells and a hand bell.


Free Vibration Circular Plate Conical Shell Transfer Matrix Method Annular Plate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag London 2003

Authors and Affiliations

  • Ernest Hinton
    • 1
  • Johann Sienz
    • 2
  • Mustafa Özakça
    • 3
  1. 1.Department of Civil EngineeringUniversity of Wales SwanseaSwanseaUK
  2. 2.Department of Mechanical EngineeringUniversity of Wales SwanseaSwanseaUK
  3. 3.Department of Civil Engineering, Faculty of EngineeringUniversity of GaziantepGaziantepTurkey

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