{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T10:14:20Z","timestamp":1769940860102,"version":"3.49.0"},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Str. Stab. Dyn."],"published-print":{"date-parts":[[2011,10]]},"abstract":"<jats:p> This work is part of an ongoing investigation aimed at comparing the mechanics underlying the application of generalized beam theory (GBT) and the constrained finite strip method (cFSM), two alternative modal approaches to analyze the elastic buckling behavior of open-sectional unbranched thin-walled members. Previous work included an overall comparison between the numerical results yielded by the two approaches for lipped channel columns and beams, which were shown to be essentially identical \u2014 the few minor discrepancies were fully explained. The next step consists of revisiting the kinematical assumptions and procedures adopted by GBT to identify and characterize the cross-sectional deformations modes, presenting, explaining, and interpreting them from a novel perspective, deemed more suitable for a true comparison with the displacement field constraints employed in cFSM \u2014 the main objective of this paper. The starting point is the derivation of the conventional finite strip method (FSM), intended to show that some of the corresponding matrices also appear in GBT. Indeed, it is demonstrated that the determination of the GBT deformation modes involves a set of particular FSM matrices, termed \"cross-sectional matrices.\" After a brief comparison between the GBT and cFSM assumptions and procedures, an illustrative example is presented and discussed, in order to provide a better grasp of the concepts and procedures involved in the new approach to the GBT deformation mode determination. Finally, the paper closes with a few concluding remarks that also address the work to be carried out in the near future. <\/jats:p>","DOI":"10.1142\/s0219455411004427","type":"journal-article","created":{"date-parts":[[2011,8,19]],"date-time":"2011-08-19T11:15:16Z","timestamp":1313752516000},"page":"969-997","source":"Crossref","is-referenced-by-count":65,"title":["GENERALIZED BEAM THEORY REVISITED: FROM THE KINEMATICAL ASSUMPTIONS TO THE DEFORMATION MODE DETERMINATION"],"prefix":"10.1142","volume":"11","author":[{"given":"N.","family":"SILVESTRE","sequence":"first","affiliation":[{"name":"Department of Civil Engineering and Architecture, ICIST, Instituto Superior T\u00e9cnico, Technical University of Lisbon, Av. Rovisco Pais Lisboa, 1049-001, Portugal"}]},{"given":"D.","family":"CAMOTIM","sequence":"additional","affiliation":[{"name":"Department of Civil Engineering and Architecture, ICIST, Instituto Superior T\u00e9cnico, Technical University of Lisbon, Av. Rovisco Pais Lisboa, 1049-001, Portugal"}]},{"given":"N. F.","family":"SILVA","sequence":"additional","affiliation":[{"name":"Department of Civil Engineering and Architecture, ICIST, Instituto Superior T\u00e9cnico, Technical University of Lisbon, Av. Rovisco Pais Lisboa, 1049-001, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","first-page":"195","volume":"5","author":"\u00c1d\u00e1ny S.","journal-title":"Advanced Steel Construction \u2014 An International Journal"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-52330-4"},{"key":"rf3","unstructured":"D.\u00a0Camotim, Thin-Walled Structures: Recent Advances and Future Trends in Thin-Walled Structures Technology, ed. J.\u00a0Loughlan (Canopus Publishing, Bath, 2004)\u00a0pp. 137\u2013168."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/1-4020-4891-2_16"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.tws.2006.03.013"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/j.tws.2006.03.014"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcsr.2007.04.004"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcsr.2008.01.022"}],"container-title":["International Journal of Structural Stability and Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219455411004427","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T16:09:18Z","timestamp":1565194158000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219455411004427"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10]]},"references-count":8,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2011,10]]}},"alternative-id":["10.1142\/S0219455411004427"],"URL":"https:\/\/doi.org\/10.1142\/s0219455411004427","relation":{},"ISSN":["0219-4554","1793-6764"],"issn-type":[{"value":"0219-4554","type":"print"},{"value":"1793-6764","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,10]]}}}