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Volume 55 Issue 1
Jan.  2020
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Journal of Southwest Jiaotong University  > 2020  >  55(1): 150-157.
JIANG Zhengrong, LIU Xiaowei, SHI Kairong, LIN Quanpan. Method of Force-Finding Analysis Based on Ratio Updating for Cable Domes[J]. Journal of Southwest Jiaotong University, 2020, 55(1): 150-157. doi: 10.3969/j.issn.0258-2724.20180201
Citation: JIANG Zhengrong, LIU Xiaowei, SHI Kairong, LIN Quanpan. Method of Force-Finding Analysis Based on Ratio Updating for Cable Domes[J]. Journal of Southwest Jiaotong University, 2020, 55(1): 150-157. doi: 10.3969/j.issn.0258-2724.20180201
shu

Method of Force-Finding Analysis Based on Ratio Updating for Cable Domes

doi: 10.3969/j.issn.0258-2724.20180201
  • Received Date: 19 Mar 2018
  • Rev Recd Date: 12 Aug 2018
    • Available Online: 21 Dec 2018
  • Publish Date: 01 Feb 2020
    Abstract
  • In order to determine the prestress distribution of cable domes efficiently, a new method of force-finding analysis based on ratio updating was proposed. In this method, values of cable prestresses are pre-assumed and then constantly adjusted according to the continuously updated ratio of cable prestress; the precise prestress distribution of cable dome is acquired by iterations using the cable force and geometric shape as convergence control parameters. In this way, a force-finding analysis of cable domes is first conducted without considering the gravity effect, which verifies the effectiveness of this method. When the gravity is considered, each cable segment is divided into multiple units. An invariant, the cable force’s horizontal component along the length is introduced and the ratio of cable force is then replaced by that of the horizontal component force to deal with the situation with gravity. The results show that the method of force-finding analysis based on ratio updating is characterized by fast computational speed, small geometric shape deviation, and high precision. The results of force-finding analysis considering the influence of gravity are significantly different from those without considering gravity, and the maximum deviation reaches 19.34%. Thus, the influence of gravity should be taken into account in force-finding analysis of cable domes. In addition, whether each cable segment is divided into one unit or multiple units, the results of force-finding analysis make little difference (0.05% maximum deviation). Therefore, in cases when the cable prestress is large and cable length is short, each cable segment could be divided into only one unit to simplify the solving process of prestress distribution.

     

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