Distortional analysis of beams with isogeometric methods
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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.
KeywordsGeneralized warping Generalized distortion Poisson ratio Isogeometric analysis B-splines NURBS
This work has been supported by IKY Fellowships of Excellence for Postgraduate Studies in Greece-Siemens Program.
- 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)Google Scholar
- 11.Dikaros, I.C.: Advanced beam theories for the analysis of beam structures. Doctoral Thesis, National Technical University of Athens, pp. 149–159. http://dspace.lib.ntua.gr/handle/123456789/42539 (2016)
- 14.FEMAP for Windows. Finite element modeling and post-processing software. Help System Index Version 11.0.1. (2010)Google Scholar
- 19.Hanshin Expressway Public Corporation Guidelines for the Design of Horizontally Curved Girder Bridges, Japan (1988)Google Scholar
- 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
- 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)Google Scholar
- 42.Tsiptsis, I.N., Sapountzakis, E.J.: Isogeometric analysis for the dynamic problem of curved structures including warping effects. Mech. Based Des. Struct. Mach. (2017). doi: 10.1080/15397734.2016.1275974