Pseudo-beam method for compressive buckling characteristics analysis of space inflatable load-carrying structures This paper extends {it A. Le van}’s work et al. [“Finite element formulation for inflatable beams”, Thin-Walled Struct. 45, No. 2, 221--236 (2007; url{doi:10.1016/j.tws.2007.01.015})] to the case of nonlinear problem and the complicated configuration. The wrinkling stress distribution and the pressure effects are also included in our analysis. Pseudo-beam method is presented based on the inflatable beam theory to model the inflatable structures as a set of inflatable beam elements with a pre-stressed state. In this method, the discretized nonlinear equations are given based upon the virtual work principle with a 3-node Timoshenko’s beam model. Finite element simulation is performed by using a 3-node BEAM189 element incorporating ANSYS nonlinear program. The pressure effect is equivalent included in our method by modifying beam element cross-section parameters related to pressure. A benchmark example, the bending case of an inflatable cantilever beam, is performed to verify the accuracy of our proposed method. The comparisons reveal that the numerical results obtained with our method are close to open published analytical and membrane finite element results. The method is then used to evaluate the whole buckling and the load-carrying characteristics of an inflatable support frame subjected to a compression force. The wrinkling stress and region characteristics are also shown in the end. This method gives better convergence characteristics, and requires much less computation time. It is very effective to deal with the whole load-carrying ability analytical problems for large scale inflatable structures with complex configuration.

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  4. Patel, Mohil; Shabana, Ahmed A.: Locking alleviation in the large displacement analysis of beam elements: the strain split method (2018)
  5. Xu, Qiping; Liu, Jinyang: An improved dynamic model for a silicone material beam with large deformation (2018)
  6. Zhang, Yue; Wei, Cheng; Zhao, Yang; Tan, Chunlin; Liu, Yongjian: Adaptive ANCF method and its application in planar flexible cables (2018)
  7. Luo, Kai; Hu, Haiyan; Liu, Cheng; Tian, Qiang: Model order reduction for dynamic simulation of a flexible multibody system via absolute nodal coordinate formulation (2017)
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  9. Wang, Zhe; Tian, Qiang; Hu, Haiyan: Dynamics of spatial rigid-flexible multibody systems with uncertain interval parameters (2016)
  10. Bauchau, Olivier A.; Han, Shilei; Mikkola, Aki; Matikainen, Marko K.; Gruber, Peter: Experimental validation of flexible multibody dynamics beam formulations (2015)
  11. Maurin, Florian; Dedè, Luca; Spadoni, Alessandro: Isogeometric rotation-free analysis of planar extensible-elastica for static and dynamic applications (2015)
  12. Pappalardo, Carmine M.: A natural absolute coordinate formulation for the kinematic and dynamic analysis of rigid multibody systems (2015)
  13. Zhao, Jie; Zhao, Rui; Xue, Zhong; Yu, Kaiping: A new modeling method for flexible multibody systems (2015)
  14. Nachbagauer, Karin: State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in comparison with proposed beam finite elements (2014)
  15. Yu, Zuqing; Lan, Peng; Lu, Nianli: A piecewise beam element based on absolute nodal coordinate formulation (2014)
  16. Fan, Wei; Liu, Jin-Yang: Geometric nonlinear formulation for thermal-rigid-flexible coupling system (2013)
  17. Nachbagauer, Karin; Gruber, Peter; Gerstmayr, Johannes: A 3D shear deformable finite element based on the absolute nodal coordinate formulation (2013)
  18. Liu, Cheng; Tian, Qiang; Hu, Haiyan; García-Vallejo, Daniel: Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems (2012)
  19. Pi, Ting; Zhang, Yunqing; Chen, Liping: First order sensitivity analysis of flexible multibody systems using absolute nodal coordinate formulation (2012)
  20. Mohamed, Abdel-Nasser A.; Shabana, Ahmed A.: A nonlinear visco-elastic constitutive model for large rotation finite element formulations (2011)

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