Archive of Applied Mechanics

, Volume 88, Issue 1–2, pp 233–252 | Cite as

Distortional analysis of beams with isogeometric methods

  • Ioannis N. Tsiptsis
  • Evangelos J. Sapountzakis
Special
  • 114 Downloads

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.

Keywords

Generalized warping Generalized distortion Poisson ratio Isogeometric analysis B-splines NURBS 

Notes

Acknowledgements

This work has been supported by IKY Fellowships of Excellence for Postgraduate Studies in Greece-Siemens Program.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Institute of Structural Analysis and Antiseismic Research, School of Civil EngineeringNational Technical University of AthensAthensGreece

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