Distortional eigenmodes and solutions for thin-walled beams

Michael Joachim Andreassen, Jeppe Jönsson

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearch


This paper presents a generalization of the classic theory for thin-walled beams by including distortional displacements. A condensed presentation of the novel finite-elementbased displacement approach in [1,2] is given, where specific distortional displacement fields, which decouple the differential equations for generalized beam theory (GBT), are determined via a semi-discretization procedure. The distortional displacement fields are found as solutions to a distortional homogeneous eigenvalue problem which produce distortional displacement eigenmodes. Using the distortional modal matrix found for the homogeneous system the final uncoupled set of distortional differential equations including the load terms are presented and the full solution is given, including an illustrative example. This new approach is an alternative to the traditional first order GBT method.
Original languageEnglish
Title of host publicationThin-Walled Structures : Recent Research Advancences and Trends
EditorsDan Dubina, Viorel Ungureanu
VolumeVolume 1
PublisherECCS - European Convention for Constructional Steelwork
Publication date2011
ISBN (Print)978-92-9147-102-7
Publication statusPublished - 2011
Event6th International Conference on Thin-Walled Structures - Timisoara, Romania
Duration: 5 Sep 20117 Sep 2011
Conference number: 6


Conference6th International Conference on Thin-Walled Structures


  • GBT
  • Warping
  • Distortion
  • Load
  • Thin-walled Beams
  • Semi-Discretization
  • Generalized Beam Theory


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