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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 1-2/2018

12-04-2017 | Special

Distortional analysis of beams with isogeometric methods

Authors: Ioannis N. Tsiptsis, Evangelos J. Sapountzakis

Published in: Archive of Applied Mechanics | Issue 1-2/2018

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Abstract

Toward improving conventional beam elements in order to include distortional effects in their analysis, in this paper, independent parameters have been taken into account. Beam’s behavior becomes more complex, especially for eccentric loading, due to the coupling between warping and distortion. Thus, the importance of including higher-order phenomena in the analysis arises in order to derive accurate results. Due to the fact that more degrees of freedom are employed, the computational cost of the problem is significantly increased. Isogeometric tools (B-splines and NURBS), either integrated in the finite element method or in a boundary element-based method called analog equation method, are employed in this contribution for the static analysis of beams of open or closed (box-shaped) cross sections toward improving computational effort. Responses of the stresses, stress resultants and displacements to static loading have been studied.
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Literature
1.
American Association of State Highway and Transportation Officials: Guide Specifications for Horizontally Curved Highway Bridges. American Association of State Highway and Transportation Officials, Washington (1993)
2.
Andreassen, M.J., Jönsson, J.: Distortional solutions for loaded semi-discretized thin-walled beams. Thin Walled Struct. 50, 116–127 (2012a)CrossRef
3.
Andreassen, M.J., Jönsson, J.: Distortional buckling modes of semi-discretized thin-walled columns. Thin Walled Struct. 51, 53–63 (2012b)CrossRef
4.
Andreassen, M.J., Jönsson, J.: A distortional semi-discretized thin-walled beam element. Thin Walled Struct. 62, 142–157 (2013)CrossRef
5.
Bauchau, O.A.: A beam theory for anisotropic materials. J. Appl. Mech. 52, 416–422 (1985)CrossRefMATH
6.
Beer, G., Smith, I., Duenser, Ch.: The Boundary Element Method with Programming: For Engineers and Scientists. Springer, Wien (2008)MATH
7.
Camotim, D., Dinis, P.B.: Coupled instabilities with distortional buckling in cold-formed steel lipped channel columns. Thin Walled Struct. 49, 562–575 (2011)CrossRef
8.
Carrera, E., Giunta, G.: Refined beam theories based on a unified formulation. Int. J. Appl. Mech. 2, 117–143 (2010)CrossRef
9.
Carrera, E., Pagani, A., Petrolo, M.: Refined 1D finite elements for the analysis of secondary, primary, and complete civil engineering structures. J. Struct. Eng. 141(4), 1–14 (2015)CrossRef
10.
Dikaros, I.C., Sapountzakis, E.J.: Generalized warping analysis of composite beams of arbitrary cross section by BEM part I: theoretical considerations and numerical implementation. J. Eng. Mech. ASCE 140(9), 04014062 (2014)CrossRef
11.
12.
Dinis, P.B., Camotim, D.: Post-buckling behaviour and strength of cold-formed steel lipped channel columns experiencing distortional/global interaction. Comput. Struct. 89, 422–434 (2011)CrossRef
13.
El Fatmi, R., Ghazouani, N.: Higher order composite beam theory built on Saint-Venant’s solution. Part-I: theoretical developments. Compos. Struct. 93, 557–566 (2011)CrossRef
14.
FEMAP for Windows. Finite element modeling and post-processing software. Help System Index Version 11.0.1. (2010)
15.
Ferradi, M.K., Cespedes, X., Arquier, M.: A higher order beam finite element with warping eigenmodes. Eng. Struct. 46, 748–762 (2013)CrossRef
16.
Ferradi, M.K., Cespedes, X.: A new beam element with transversal and warping eigenmodes. Comput. Struct. 131, 12–33 (2014)CrossRef
17.
Genoese, A., Genoese, A., Bilotta, A., Garcea, G.: A generalized model for heterogeneous and anisotropic beams including section distortions. Thin Walled Struct. 74, 85–103 (2014)CrossRef
18.
Gonçalves, R., Camotim, D.: On distortion of symmetric and periodic open-section thin-walled members. Thin Walled Struct. 94, 314–324 (2015)CrossRef
19.
Hanshin Expressway Public Corporation Guidelines for the Design of Horizontally Curved Girder Bridges, Japan (1988)
20.
Huang, D., Wang, T.L., Shahawy, M.: Vibration of horizontally curved box girder bridges due to vehicles. Comput. Struct. 68, 513–528 (1998)CrossRefMATH
21.
Hughes, T., Cottrell, J., Bazilevs, Y.: Isogeometric Analysis: Toward Integration of CAD and FEA. Wiley, Hoboken (2009)MATH
22.
Jönsson, J.: Distortional theory of thin-walled beams. Thin Walled Struct. 33(4), 269–303 (1999)CrossRef
23.
Jönsson, J., Andreassen, M.J.: Distortional eigenmodes and homogeneous solutions for semi-discretized thin-walled beams. Thin Walled Struct. 49, 691–707 (2011)CrossRef
24.
Katsikadelis, J.T.: Boundary Elements: Theory and Applications. Elsevier, Amsterdam (2002a)MATH
25.
Katsikadelis, J.T.: The analog equation method. A boundary—only integral equation method for nonlinear static and dynamic problems in general bodies. Theor. Appl. Mech. 27, 13–38 (2002b)MathSciNetCrossRefMATH
26.
Love, A.E.H.: A Treatise on the Mathematical Theory of Elasticity. Dover, New York (1944)MATH
27.
Lezgy-Nazargah, M.: An isogeometric approach for the analysis of composite steel-concrete beams. Thin Walled Struct. 84, 406–415 (2014)CrossRef
28.
Lezgy-Nazargah, M., Shariyat, M., Beheshti-Aval, S.B.: A refined high-order global-local theory for finite element bending and vibration analyses of the laminated composite beams. Acta Mech. 217, 219–242 (2011)CrossRefMATH
29.
Park, N.H., Lim, N.H., Kang, Y.J.: A consideration on intermediate diaphragm spacing in steel box girder bridges with a doubly symmetric section. Eng. Struct. 25, 1665–1674 (2003)CrossRef
30.
Park, N., Choi, Y., Kang, Y.: Spacing of intermediate diaphragms in horizontally curved steel box girder bridges. Finite Elem. Anal. Des. 41(9–10), 925–943 (2005)CrossRef
31.
32.
Ranzi, G., Luongo, A.: A new approach for thin-walled member analysis in the framework of GBT. Thin Walled Struct. 49, 1404–1414 (2011)CrossRef
33.
Sapountzakis, E.J., Tsiptsis, I.N.: Quadratic B-splines in the analog equation method for the nonuniform torsional problem of bars. Acta Mech. 225, 3511–3534 (2014)MathSciNetCrossRefMATH
34.
Sapountzakis, E.J., Tsiptsis, I.N.: Generalized warping analysis of curved beams by BEM. Eng. Struct. 100, 535–549 (2015)CrossRef
35.
Sapountzakis, E.J., Tsiptsis, I.N.: B-splines in the analog equation method for the generalized beam analysis including warping effects. Comput. Struct. 180, 60–73 (2017a)CrossRef
36.
Sapountzakis, E.J., Tsiptsis, I.N.: Generalized vibration analysis of beams including warping effects by isogeometric methods. J. Vib. Control 1–19 (2017b). doi:10.​1177/​1077546316685679​
37.
Schardt, R.: Verallgemeinerte Technische Biegetheorie. Springer, Berlin (1989)CrossRef
38.
Schardt, R.: Generalized beam theory—an adequate method for coupled stability problems. Thin Walled Struct. 19, 161–180 (1994)CrossRef
39.
Silvestre, N., Camotim, D.: On the mechanics of distortion in thin-walled open sections. Thin Walled Struct. 48, 469–481 (2010)CrossRef
40.
Thai, C.H., Ferreira, A.J.M., Carrera, E., Nguyen-Xuan, H.: Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory. Compos. Struct. 104, 196–214 (2013)CrossRef
41.
Tsiptsis, I.N., Sapountzakis, E.J.: Isogeometric methods in higher-order curved beam theories. In: Proceedings of the 9th German-Greek-Polish Symposium on “Recent Advances in Mechanics”, Chania, Crete, Greece, 04–09 September (2016)
42.
Metadata
Title
Distortional analysis of beams with isogeometric methods
Authors
Ioannis N. Tsiptsis
Evangelos J. Sapountzakis
Publication date
12-04-2017
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 1-2/2018
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-017-1251-z

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