Basic Dynamic Analysis of Plates, Solids of Revolution and Finite Prism Type Structures

  • Ernest Hinton
  • Johann Sienz
  • Mustafa Özakça


In this chapter we consider some additional approaches to the analysis of axisymmetric and prismatic shells. Focusing on the dynamic analysis of MR rectangular plates with simply supported edges, we present exact, Navier-type solutions based on double Fourier series representations of the plate lateral displacement and normal rotations.

We also examine some 3D solutions for solids of revolution (SORs) based 3D solid or revolution elements and 3D solutions for sectors of SORs based on the so-called finite prism method. These approaches may also be used in the context of static analysis.


Free Vibration Rectangular Plate Elastic Foundation Circular Plate Annular Plate 


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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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