Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Variational formulation of curved beams in global coordinates
Jönköping University, School of Engineering, JTH, Mechanical Engineering. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
Umeå University.
Umeå University.
2014 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 53, no 4, 611-623 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we derive a variational formulation for the static analysis of a linear curved beam natively expressed in global Cartesian coordinates. Using an implicit description of the beam midline during derivation we eliminate the need for local coordinates. The only geometrical information appearing in the final expressions for the governing equations is the tangential direction. As a consequence, zero or discontinuous curvature, for example at inflection points, pose no difficulty in this formulation. Kinematic assumptions encompassing both Timoshenko and Euler-Bernoulli beam theories are considered. With the exception of truly three-dimensional formulations, models for curved beams found in the literature are typically derived in the local Frenet frame. We implement finite element methods with global degrees of freedom and discuss curvature coupling effects and locking. Numerical comparisons with classical solutions for straight and curved cantilever beams under tip load are given, as well as numerical examples illustrating curvature coupling effects. 

Place, publisher, year, edition, pages
2014. Vol. 53, no 4, 611-623 p.
Keyword [en]
curved beams, global coordinates, finite elements, linear elasticity, vector distance function
National Category
Computational Mathematics Applied Mechanics
Identifiers
URN: urn:nbn:se:hj:diva-23597DOI: 10.1007/s00466-013-0921-0ISI: 000332857000005Scopus ID: 2-s2.0-84899452107OAI: oai:DiVA.org:hj-23597DiVA: diva2:704026
Available from: 2014-03-10 Created: 2014-03-10 Last updated: 2016-11-29Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Authority records BETA

Hansbo, Peter

Search in DiVA

By author/editor
Hansbo, Peter
By organisation
JTH, Mechanical EngineeringJTH. Research area Product Development - Simulation and Optimization
In the same journal
Computational Mechanics
Computational MathematicsApplied Mechanics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 361 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf