# Constrained Finite Element Method: Demonstrative Examples on the Global Modes of Thin-Walled Members

05 Nov 2014

## Abstract

In this paper a novel method is presented for the modal decomposition of thin-walled members. The proposed method follows the logic of the constrained finite strip method (cFSM), however, polynomial longitudinal shape functions are applied together with a longitudinal discretization. Thus, strips are transformed into multiple shell finite elements. The longitudinal shape functions are selected in such a way that modal decomposition similar to cFSM can be realized, therefore, the new method can conveniently be described as constrained finite element method (cFEM), possessing all the modal features of cFSM, but with significantly more flexible applicability. The method is briefly presented and illustrated by global buckling problems.

## Department(s)

Civil, Architectural and Environmental Engineering

## Research Center/Lab(s)

Wei-Wen Yu Center for Cold-Formed Steel Structures

Hungarian Scientific Research Fund

## Meeting Name

22nd International Specialty Conference on Cold-Formed Steel Structures

## Publisher

Missouri University of Science and Technology

Final Version

## Rights

The presented work was conducted with the financial support the OTKA K108912 project of the Hungarian Scientific Research Fund.

## Document Type

Article - Conference proceedings

text

English

## Share

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Constrained Finite Element Method: Demonstrative Examples on the Global Modes of Thin-Walled Members

In this paper a novel method is presented for the modal decomposition of thin-walled members. The proposed method follows the logic of the constrained finite strip method (cFSM), however, polynomial longitudinal shape functions are applied together with a longitudinal discretization. Thus, strips are transformed into multiple shell finite elements. The longitudinal shape functions are selected in such a way that modal decomposition similar to cFSM can be realized, therefore, the new method can conveniently be described as constrained finite element method (cFEM), possessing all the modal features of cFSM, but with significantly more flexible applicability. The method is briefly presented and illustrated by global buckling problems.