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| Form finding of slack cable-bar assembly by dynamic relaxation method |
| Revised:May 06, 2006 |
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| DOI：10.7511/jslx20082044 |
| KeyWord:cable-strut tensile structure,form finding,construction simulation,catenary cable element,dynamic relaxation method |
| WU Xiao-shun DENG Hua |
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| Abstract: |
| The erection simulation of cable-strut tensile structures involves equilibrium state analysis of a slack cable-bar assembly.This issue is clarified as a kind of form-finding problem for a loaded cable-bar mechanism system with prescribed unelongated member lengths.The dynamic relaxation method is accepted to solve this unconventional form-finding problem.Since no stiffness matrix is established in this method,difficulties caused by matrix singularity due to the geometrical instability of such mechanism assembly can be avoided in numeric computation.Catenary element is adopted to exactly consider the large-sag effect of slack cable.A new compatible equation of catenary cable element,which reflects the relationship between unelongated cable length and its tensile force,is put forward.An orthogonal slack cable net is employed as a numeric example to verify the accuracy and convergency of this method.Numeric simulation of erection process of a cable dome is further carried out,and shows the validity of this method for the erection simulation analysis of cable-strut tensile structures. |
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