A finite element formulation for dynamic analysis of shells of general shape by using the Wilson-θ method

Tulay Aksu Ozkul

doi:10.1016/j.tws.2003.12.008

A finite element formulation for dynamic analysis of shells of general shape by using the Wilson-θ method

Tulay Aksu Ozkul^*

^*Corresponding author for this work

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

The vibrations of shells of general shape are analysed using finite element method. A curved isoparametric trapezoidal finite element, which includes thickness shear deformations and without neglecting z/R in comparison with unity and rotatory inertia effects with consistent mass matrix, is presented. An eight-noded element with five degrees of freedom per node is used. Hamilton's principle and Wilson-θ integration method are applied for deriving the equations of motion and the solution of these equations, respectively. Several examples are presented and the results are compared with those obtained using other solution techniques.

Original language	English
Pages (from-to)	497-513
Number of pages	17
Journal	Thin-Walled Structures
Volume	42
Issue number	4
DOIs	https://doi.org/10.1016/j.tws.2003.12.008
Publication status	Published - Apr 2004

Keywords

Consistent mass matrix
Dynamic analysis
Finite element
Rotatory inertia effects
Shell
Wilson-θ method

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10.1016/j.tws.2003.12.008

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abstract = "The vibrations of shells of general shape are analysed using finite element method. A curved isoparametric trapezoidal finite element, which includes thickness shear deformations and without neglecting z/R in comparison with unity and rotatory inertia effects with consistent mass matrix, is presented. An eight-noded element with five degrees of freedom per node is used. Hamilton's principle and Wilson-θ integration method are applied for deriving the equations of motion and the solution of these equations, respectively. Several examples are presented and the results are compared with those obtained using other solution techniques.",

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AB - The vibrations of shells of general shape are analysed using finite element method. A curved isoparametric trapezoidal finite element, which includes thickness shear deformations and without neglecting z/R in comparison with unity and rotatory inertia effects with consistent mass matrix, is presented. An eight-noded element with five degrees of freedom per node is used. Hamilton's principle and Wilson-θ integration method are applied for deriving the equations of motion and the solution of these equations, respectively. Several examples are presented and the results are compared with those obtained using other solution techniques.

KW - Consistent mass matrix

KW - Dynamic analysis

KW - Finite element

KW - Rotatory inertia effects

KW - Shell

KW - Wilson-θ method

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JO - Thin-Walled Structures

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IS - 4

ER -

A finite element formulation for dynamic analysis of shells of general shape by using the Wilson-θ method

Abstract

Keywords

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