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

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Analysis and Optimization of Prismatic and Axisymmetric Shell Structures

Abstract

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.

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© 2003 Springer-Verlag London

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Hinton, E., Sienz, J., Özakça, M. (2003). Basic Dynamic Analysis of Plates, Solids of Revolution and Finite Prism Type Structures. In: Analysis and Optimization of Prismatic and Axisymmetric Shell Structures. Springer, London. https://doi.org/10.1007/978-0-85729-424-1_11

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  • DOI: https://doi.org/10.1007/978-0-85729-424-1_11

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1059-0

  • Online ISBN: 978-0-85729-424-1

  • eBook Packages: Springer Book Archive

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