{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:14:26Z","timestamp":1753884866718,"version":"3.41.2"},"reference-count":42,"publisher":"World Scientific Pub Co Pte Ltd","issue":"12","funder":[{"name":"Portuguese Foundation for Science and Technology, through the funding of the CERIS research unit","award":["UIDB\/04625\/2020"],"award-info":[{"award-number":["UIDB\/04625\/2020"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Str. Stab. Dyn."],"published-print":{"date-parts":[[2023,7,30]]},"abstract":"<jats:p> This paper presents a new geometrically exact beam finite element able to perform, accurately and efficiently, linear stability analyses of curved and tapered elastic strip beams (beams with thin rectangular cross-section) susceptible to lateral-torsional bucking. This element constitutes a non-trivial extension, to the spatial (3D) case, of that previously reported by the author for the in-plane (2D) case in Gon\u00e7alves [R.\u00a0Gon\u00e7alves, A geometrically exact beam finite element for non-prismatic strip beams: The 2D case, Int. J. Struct. Stab. Dyn. (2022) 2350037]. To allow capturing accurately torsion effects, a torsion-related warping function is derived and included as an additional cross-section degree-of-freedom (DOF). Since the element is developed using a geometrically exact framework, complex effects such as load height and out-of-plane flexural-torsional effects are straightforwardly included. For implementation purposes, all fundamental expressions are provided in simple vector\/matrix forms. A set of numerical examples is presented and discussed, to show that the proposed element provides very accurate solutions with a small DOF number, even for heavily curved and tapered members. <\/jats:p>","DOI":"10.1142\/s0219455423501390","type":"journal-article","created":{"date-parts":[[2022,12,22]],"date-time":"2022-12-22T07:27:30Z","timestamp":1671694050000},"source":"Crossref","is-referenced-by-count":1,"title":["A Geometrically Exact Beam Finite Element for Non-Prismatic Strip Beams: Linearized Lateral-Torsional Stability"],"prefix":"10.1142","volume":"23","author":[{"given":"Rodrigo","family":"Gon\u00e7alves","sequence":"first","affiliation":[{"name":"CERIS and Departamento de Engenharia Civil, Faculdade de Ci\u00eancias e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2023,2,8]]},"reference":[{"issue":"5","key":"S0219455423501390BIB001","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1007\/BF01602645","volume":"23","author":"Reissner E.","year":"1972","journal-title":"Z. Angew. Math. Phys."},{"key":"S0219455423501390BIB002","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1002\/sapm197352287","volume":"52","author":"Reissner E.","year":"1973","journal-title":"Stud. Appl. Math."},{"issue":"1","key":"S0219455423501390BIB003","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/0045-7825(85)90050-7","volume":"49","author":"Simo J.","year":"1985","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"S0219455423501390BIB004","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/0045-7825(86)90079-4","volume":"58","author":"Simo J.","year":"1986","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"3","key":"S0219455423501390BIB005","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1016\/0020-7683(91)90089-X","volume":"27","author":"Simo J.","year":"1991","journal-title":"Int. J. Solids Struct."},{"key":"S0219455423501390BIB006","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.engstruct.2014.02.024","volume":"68","author":"Genoese A.","year":"2014","journal-title":"Eng. Struct."},{"issue":"1","key":"S0219455423501390BIB007","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/S0045-7825(98)00061-9","volume":"165","author":"Petrov E.","year":"1998","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"S0219455423501390BIB008","first-page":"119","volume":"1","author":"Pimenta P.","year":"2003","journal-title":"Latin Am. J. Solid Struct."},{"issue":"23","key":"S0219455423501390BIB009","doi-asserted-by":"crossref","first-page":"1627","DOI":"10.1016\/j.cma.2010.01.006","volume":"199","author":"Gon\u00e7alves R.","year":"2010","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"2","key":"S0219455423501390BIB010","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/s00466-011-0593-6","volume":"48","author":"Gon\u00e7alves R.","year":"2011","journal-title":"Comput. Mech."},{"key":"S0219455423501390BIB011","doi-asserted-by":"crossref","first-page":"113804","DOI":"10.1016\/j.cma.2021.113804","volume":"381","author":"Peres N.","year":"2021","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"S0219455423501390BIB012","first-page":"2350037","author":"Gon\u00e7alves R.","year":"2022","journal-title":"Int. J. Struct. Stab. Dyn."},{"issue":"3","key":"S0219455423501390BIB013","doi-asserted-by":"crossref","first-page":"425","DOI":"10.2140\/jomms.2008.3.425","volume":"3","author":"Hodges D. H.","year":"2008","journal-title":"J. Mech. Mater. Struct."},{"issue":"6","key":"S0219455423501390BIB014","doi-asserted-by":"crossref","first-page":"963","DOI":"10.2140\/jomms.2010.5.963","volume":"5","author":"Hodges D. H.","year":"2010","journal-title":"J. Mech. Mater. Struct."},{"key":"S0219455423501390BIB015","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1016\/j.ijsolstr.2015.03.004","volume":"63","author":"Auricchio F.","year":"2015","journal-title":"Int. J. Solids Struct."},{"key":"S0219455423501390BIB016","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1016\/j.ijsolstr.2016.02.017","volume":"90","author":"Balduzzi G.","year":"2016","journal-title":"Int. J. Solids Struct."},{"key":"S0219455423501390BIB017","doi-asserted-by":"crossref","first-page":"110252","DOI":"10.1016\/j.engstruct.2020.110252","volume":"213","author":"Mercuri V.","year":"2020","journal-title":"Eng. Struct."},{"issue":"3","key":"S0219455423501390BIB018","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1061\/JSDEAG.0003184","volume":"98","author":"Kitipornchai S.","year":"1972","journal-title":"J. Struct. Div."},{"key":"S0219455423501390BIB019","doi-asserted-by":"crossref","DOI":"10.1201\/9781482271218","volume-title":"Flexural-Torsional Buckling of Structures","author":"Trahair N.","year":"1993"},{"issue":"3","key":"S0219455423501390BIB020","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/S0045-7949(99)00224-2","volume":"77","author":"Ronagh H.","year":"2000","journal-title":"Comput. Struct."},{"issue":"6","key":"S0219455423501390BIB021","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1061\/(ASCE)0733-9399(2005)131:6(586)","volume":"131","author":"Andrade A.","year":"2005","journal-title":"J. Eng. Mech."},{"key":"S0219455423501390BIB022","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/j.engstruct.2013.10.031","volume":"59","author":"Trahair N.","year":"2014","journal-title":"Eng. Struct."},{"key":"S0219455423501390BIB023","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.engstruct.2015.04.039","volume":"99","author":"Mohri F.","year":"2015","journal-title":"Eng. Struct."},{"key":"S0219455423501390BIB024","first-page":"237","volume":"140","author":"Federhofer K.","year":"1931","journal-title":"Sitzungsberichte der Akademie der Wissenschaften in Wien"},{"issue":"3","key":"S0219455423501390BIB025","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1115\/1.4012066","volume":"26","author":"Lee L. H. N.","year":"1959","journal-title":"J. Appl. Mech."},{"issue":"10","key":"S0219455423501390BIB026","doi-asserted-by":"crossref","first-page":"1899","DOI":"10.1061\/(ASCE)0733-9399(1993)119:10(1899)","volume":"119","author":"Baker G.","year":"1993","journal-title":"J. Eng. Mech."},{"key":"S0219455423501390BIB027","doi-asserted-by":"publisher","DOI":"10.1142\/S0219455407002368"},{"key":"S0219455423501390BIB028","first-page":"889","author":"Grober M.","year":"1914","journal-title":"Phys. Z. (15)"},{"issue":"1","key":"S0219455423501390BIB029","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1080\/03601217408907255","volume":"3","author":"Vacharajittiphan P.","year":"1974","journal-title":"J. Struct. Mech."},{"issue":"12","key":"S0219455423501390BIB030","doi-asserted-by":"crossref","first-page":"1269","DOI":"10.1016\/0020-7683(75)90056-6","volume":"11","author":"Hodges D. H.","year":"1975","journal-title":"Int. J. Solids Struct."},{"issue":"1","key":"S0219455423501390BIB031","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/BF01597478","volume":"30","author":"Reissner E.","year":"1979","journal-title":"Z. Angew. Math. Phys. ZAMP"},{"key":"S0219455423501390BIB032","doi-asserted-by":"crossref","first-page":"106222","DOI":"10.1016\/j.tws.2019.106222","volume":"143","author":"Gon\u00e7alves R.","year":"2019","journal-title":"Thin-Walled Struct."},{"issue":"4","key":"S0219455423501390BIB033","doi-asserted-by":"crossref","first-page":"422","DOI":"10.1137\/1006093","volume":"6","author":"Stuelpnagel J.","year":"1964","journal-title":"SIAM Rev."},{"volume-title":"Classical Mechanics","year":"1980","author":"Goldstein H.","key":"S0219455423501390BIB034"},{"issue":"1","key":"S0219455423501390BIB035","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/0045-7825(82)90069-X","volume":"32","author":"Argyris J.","year":"1982","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"3","key":"S0219455423501390BIB036","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1145\/325165.325242","volume":"19","author":"Shoemake K.","year":"1985","journal-title":"ACM SIGGRAPH Comp. Graph."},{"volume-title":"Non-linear Finite Element Analysis of Solids and Structures. Volume 2: Advanced Topics","year":"1997","author":"Crisfield M.","key":"S0219455423501390BIB037"},{"key":"S0219455423501390BIB038","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-007-0335-3","volume-title":"Flexible Multibody Dynamics","author":"Bauchau O. A.","year":"2011"},{"issue":"9","key":"S0219455423501390BIB039","doi-asserted-by":"crossref","first-page":"1005","DOI":"10.1002\/nme.532","volume":"55","author":"Ritto-Corr\u00eaa M.","year":"2002","journal-title":"Int. J. Numer. Methods Eng."},{"issue":"21","key":"S0219455423501390BIB040","doi-asserted-by":"crossref","first-page":"3653","DOI":"10.1002\/nme.1620382107","volume":"38","author":"Ibrahimbegovi\u0107 A.","year":"1995","journal-title":"Int. J. Numer. Methods Eng."},{"volume-title":"ADINA System","year":"2022","author":"Bathe K. J.","key":"S0219455423501390BIB042"},{"key":"S0219455423501390BIB043","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1016\/j.compstruc.2016.08.013","volume":"177","author":"Manta D.","year":"2016","journal-title":"Comput. Struct."}],"container-title":["International Journal of Structural Stability and Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219455423501390","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T09:31:22Z","timestamp":1690536682000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0219455423501390"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,8]]},"references-count":42,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2023,7,30]]}},"alternative-id":["10.1142\/S0219455423501390"],"URL":"https:\/\/doi.org\/10.1142\/s0219455423501390","relation":{},"ISSN":["0219-4554","1793-6764"],"issn-type":[{"type":"print","value":"0219-4554"},{"type":"electronic","value":"1793-6764"}],"subject":[],"published":{"date-parts":[[2023,2,8]]},"article-number":"2350139"}}