Finite element free vibration analysis of eccentrically stiffened plates

Timo Holopainen

Research output: Contribution to journalArticleScientificpeer-review

42 Citations (Scopus)

Abstract

A new finite element model is proposed for free vibration analysis of eccentrically stiffened plates.
The formulation allows the placement of any number of arbitrarily oriented stiffeners within a plate element without disturbing their individual properties. A plate-bending element consistent with the Reissner-Mindlin thick plate theory is employed to model the behaviour of the plating.
A stiffener element, consistent with the plate element, is introduced to model the contributions of the stiffeners. The applied plate-bending and stiffener elements are based on mixed interpolation of tensorial components (MITC), to avoid spurious shear locking and to guarantee good convergence behaviour.
Several numerical examples using both uniform and distorted meshes are given to demonstrate the excellent predictive capability of this approach.
Original languageEnglish
Pages (from-to)993-1007
JournalComputers and Structures
Volume56
Issue number6
DOIs
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed

Fingerprint

Vibration Analysis
Free Vibration
Vibration analysis
Plate Bending
Finite Element
Mixed Interpolation
Reissner-Mindlin Plate
Shear Locking
Plate Theory
Plating
Finite Element Model
Placement
Interpolation
Mesh
Numerical Examples
Formulation
Model
Demonstrate

Cite this

Holopainen, Timo. / Finite element free vibration analysis of eccentrically stiffened plates. In: Computers and Structures. 1995 ; Vol. 56, No. 6. pp. 993-1007.
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Finite element free vibration analysis of eccentrically stiffened plates. / Holopainen, Timo.

In: Computers and Structures, Vol. 56, No. 6, 1995, p. 993-1007.

Research output: Contribution to journalArticleScientificpeer-review

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AB - A new finite element model is proposed for free vibration analysis of eccentrically stiffened plates. The formulation allows the placement of any number of arbitrarily oriented stiffeners within a plate element without disturbing their individual properties. A plate-bending element consistent with the Reissner-Mindlin thick plate theory is employed to model the behaviour of the plating. A stiffener element, consistent with the plate element, is introduced to model the contributions of the stiffeners. The applied plate-bending and stiffener elements are based on mixed interpolation of tensorial components (MITC), to avoid spurious shear locking and to guarantee good convergence behaviour. Several numerical examples using both uniform and distorted meshes are given to demonstrate the excellent predictive capability of this approach.

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