| Titre : | Flexural-torsional buckling of cantilever Strip beam-columns with linearly varying depth |
| Auteurs : | Challamel, Noêl, Auteur ; Andrade, Anísio, Auteur ; Camotim, Dinar, Auteur |
| Type de document : | Article : texte imprimé |
| Dans : | Journal of engineering mechanics (Vol. 136 N° 6, Juin 2010) |
| Article en page(s) : | pp. 787-800 |
| Note générale : | Mécanique appliquée |
| Langues : | Anglais |
| Tags : | Lateral stability Buckling Beam columns Numerical analysis Differential equations Cantilevers Shell structures Finite element method. |
| Résumé : | In this paper, one investigates the elastic flexural-torsional buckling of linearly tapered cantilever strip beam-columns acted by axial and transversal point loads applied at the tip. For prismatic and wedge-shaped members, the governing differential equation is integrated in closed form by means of confluent hypergeometric functions. For general tapered members (0<(hmax−hmin)/hmax<1), the solution to the boundary value problem is obtained in the form of a Frobenius' series, which is shown to converge in the interior of the domain and at the boundary if and only if 0<(hmax−hmin)/hmax<1/2. Therefore, for 1/2<=(hmax−hmin)/hmax<1 the Frobenius' series solution cannot be used to establish the characteristic equation for the cantilever beam-columns; the problem is then solved numerically by means of a collocation procedure. Some of the analytical solutions (buckling loads) were compared with the results of shell finite-element analyses and an excellent agreement was found in all cases, thus validating the mathematical model and confirming the correctness of the analytical results. The paper closes with a discussion on the convexity of the stability domain (in the load parameter space) and the accuracy of approximations based on Dunkerley-type theorems. |
| DEWEY : | 620.1 |
| ISSN : | 0733-9399 |
| En ligne : | http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=JENMDT&smode=strresults&sort=chron&maxdisp=25&pjournals=JENMDT&pyears=2010&possible1zone=article&fromyear=2010&frommonth=Jun&toyear=2010&tomonth=Jun&fromvolume=136&tovolume=136&fromissue=6&toiss |
