Finite element analysis of curved thin-walled laminated channel structures

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The objective of this paper is to develop an analytical procedure for dynamic characterization of thin-walled rounded channel beams made from laminated composites. To develop the analytical procedure, the thin wall beam theory for isotropic materials was extended for the laminated case. It is shown that the physical properties needed for modeling are the weighted average of the laminae properties. The corners of the c-channel beam are rounded for minimizing stress concentration and for ease of manufacturing. The cross-sectional properties of the rounded shape are calculated and reported. Once the beam model for the laminated composite beam is developed, it is used to set up dynamic equations for vibration analysis with combined bending and torsion. The variational formulation and the finite element procedure augmented by appropriate shape functions and boundary conditions leads us to the frequency equation which can be solved for system dynamics. Numerical examples are presented to validate the theory and the computer program. The results show that the theory is accurate and efficient. The program developed here can be used as the tool for the design of laminated channel beam structures of complex geometry.

Original languageEnglish
Pages (from-to)295-315
Number of pages21
JournalComposite Structures
Volume27
Issue number3
DOIs
Publication statusPublished - 1994 Jan 1

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Laminated composites
Finite element method
Vibration analysis
Torsional stress
Stress concentration
Computer program listings
Dynamical systems
Physical properties
Boundary conditions
Geometry

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Civil and Structural Engineering

Cite this

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title = "Finite element analysis of curved thin-walled laminated channel structures",
abstract = "The objective of this paper is to develop an analytical procedure for dynamic characterization of thin-walled rounded channel beams made from laminated composites. To develop the analytical procedure, the thin wall beam theory for isotropic materials was extended for the laminated case. It is shown that the physical properties needed for modeling are the weighted average of the laminae properties. The corners of the c-channel beam are rounded for minimizing stress concentration and for ease of manufacturing. The cross-sectional properties of the rounded shape are calculated and reported. Once the beam model for the laminated composite beam is developed, it is used to set up dynamic equations for vibration analysis with combined bending and torsion. The variational formulation and the finite element procedure augmented by appropriate shape functions and boundary conditions leads us to the frequency equation which can be solved for system dynamics. Numerical examples are presented to validate the theory and the computer program. The results show that the theory is accurate and efficient. The program developed here can be used as the tool for the design of laminated channel beam structures of complex geometry.",
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Finite element analysis of curved thin-walled laminated channel structures. / Lai, Steven Hsin-Yi.

In: Composite Structures, Vol. 27, No. 3, 01.01.1994, p. 295-315.

Research output: Contribution to journalArticle

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