<p>Cable domes have low redundancy and are prone to progressive collapse. The present study simulated the dynamic responses and collapse modes of a real cable dome structure under the failure of its structural members during a typhoon. Moreover, the structural reliability of the structure was studied based on the Monte Carlo method and the effect laws of the structural reliability by the design parameters, such as the wind speed, component section, initial prestress level and rise–span ratio were analysed. Finally, on the basis of the importance coefficients of the structural members, this study optimised the shape, component sections, and topology of the examined structure by using genetic algorithms. This study found that during a typhoon, failure of key, important, and general members leads to progressive collapse, localised collapse, or non-progressive collapse of the examined structure, respectively. In the simulations, the strength reliability index values of the outer ridge cable and other structural members were 1.7426 and 1, respectively. In addition, the deformation reliability index of the structure was 1.7147, satisfying the serviceability limit state requirement. Member sections, prestress levels, and rise–span ratios had different effects on the strength failure reliability and deformation failure reliability of the structural members. Shape optimisation reduced the importance coefficient of the outer ridge cable, which had the lowest strength reliability among all structural members, from 0.613 to 0.393, with the optimisation rate being 35.7%. On this basis, the effectiveness of optimising component cross-sections on reducing outer ridge cable importance was quite limited. When the structure was completely altered from a Geiger-type to a Levy-type topology (topological structure 1), the importance coefficient of the outer ridge cable was optimised 32.5%. Topological structure 2 demonstrated the optimal comprehensive optimisation, ultimately optimising the importance coefficient of the outer ridge cable by 64.3%.</p>

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Resistance of Cable Dome Structures to Progressive Collapse Under the Effects of Typhoons

  • Lian-meng Chen,
  • Wei-cong Zhou,
  • Ze-bin Li,
  • Sun-kai Yan,
  • Ben-cheng Huang,
  • Wei Li,
  • Shi-lin Dong

摘要

Cable domes have low redundancy and are prone to progressive collapse. The present study simulated the dynamic responses and collapse modes of a real cable dome structure under the failure of its structural members during a typhoon. Moreover, the structural reliability of the structure was studied based on the Monte Carlo method and the effect laws of the structural reliability by the design parameters, such as the wind speed, component section, initial prestress level and rise–span ratio were analysed. Finally, on the basis of the importance coefficients of the structural members, this study optimised the shape, component sections, and topology of the examined structure by using genetic algorithms. This study found that during a typhoon, failure of key, important, and general members leads to progressive collapse, localised collapse, or non-progressive collapse of the examined structure, respectively. In the simulations, the strength reliability index values of the outer ridge cable and other structural members were 1.7426 and 1, respectively. In addition, the deformation reliability index of the structure was 1.7147, satisfying the serviceability limit state requirement. Member sections, prestress levels, and rise–span ratios had different effects on the strength failure reliability and deformation failure reliability of the structural members. Shape optimisation reduced the importance coefficient of the outer ridge cable, which had the lowest strength reliability among all structural members, from 0.613 to 0.393, with the optimisation rate being 35.7%. On this basis, the effectiveness of optimising component cross-sections on reducing outer ridge cable importance was quite limited. When the structure was completely altered from a Geiger-type to a Levy-type topology (topological structure 1), the importance coefficient of the outer ridge cable was optimised 32.5%. Topological structure 2 demonstrated the optimal comprehensive optimisation, ultimately optimising the importance coefficient of the outer ridge cable by 64.3%.