General beam cross-section analysis using a 3D finite element slice

Philippe Couturier, Steen Krenk

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Abstract

A formulation for analysis of general cross-section properties has been developed. This formulation is based on the stress-strain states in the classic six equilibrium modes of a beam by considering a finite thickness slice modelled by a single layer of 3D finite elements. The displacement variation in the lengthwise direction is in the form of a cubic polynomial, which is here represented by Hermitian interpolation, whereby the degrees of freedom are concentrated on the front and back faces of the slice. The theory is illustrated by application to a simple cross-section for which an analytical solution is available. The paper also shows an application to wind turbine blade cross-sections and discusses the effect of the finite element discretization on the cross-section properties such as stiffness parameters and the location of the elastic and shear centers.
Original languageEnglish
Title of host publicationProceedings of the ASME 2014 International Mechanical Engineering Congress & Exposition (IMECE2014)
Number of pages10
PublisherAmerican Society of Mechanical Engineers
Publication date2014
Article numberIMECE2014-36721
DOIs
Publication statusPublished - 2014
EventASME 2014 International Mechanical Engineering Congress & Exposition - Montreal, Canada
Duration: 14 Nov 201420 Nov 2014

Conference

ConferenceASME 2014 International Mechanical Engineering Congress & Exposition
CountryCanada
CityMontreal
Period14/11/201420/11/2014

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