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Inverse analysis of erection process for prismatic tensegrity structures with redundant cables

  • Pei Zhang (College of Civil and Transportation Engineering, Hohai University) ;
  • Huiting Xiong (School of Civil Engineering, Wanjiang University of Technology) ;
  • Jingjing Yang (College of Civil and Transportation Engineering, Hohai University) ;
  • Jiayan Liu (Key Laboratory of Concrete and Pre-stressed Concrete Structures of Ministry of Education, Southeast University)
  • Received : 2021.12.16
  • Accepted : 2023.07.26
  • Published : 2023.10.25

Abstract

Firstly, a new kind of prismatic tensegrity structures with redundant cables is defined, the topology, geometry and forming conditions of which are introduced further. The development of its mechanical properties including self-stress states and structural stiffness with the increment of the twist angle is also investigated carefully. Combined with the topology of this kind of structures, a reasonable erection scheme is proposed, in which some temporary lifting points need to be set and two groups of vertical cables are tensioned in batches. Then, a simplified dynamic relaxation method is employed to track the erection process inversely, which aims to predict each intermediate equilibrium state during the construction, and give the key structural parameters that can effectively guide the construction. The removal of the active cables, the relaxation or tension of the passive cables are simulated by controlling their axial stiffness, so that the structural composition as well as the serial numbers of the elements always keep invariant regardless of the withdrawal of the slack cables. The whole analysis process is clear in concept, simple to implement and easy to popularize. Finally, several examples are given to verify the practicability and effectiveness of the proposed method further.

Keywords

Acknowledgement

The research described in this paper was financially supported by China Postdoctoral Science Foundation (No. 2020M671319), the Open Project Funded by Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University (No. CPCSME2022-01), Jiangsu Planned Projects for Postdoctoral Research Funds (No. 2020Z317), and the Key Scientific Research Projects by Wanjiang University of Technology (No. WG23020ZD).

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