Received:August 19, 2006  
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DOI:10.7511/jslx20091021
KeyWord:bi-directional string structure  form finding  FEM  initial strain  tension
           
AuthorInstitution
尚仁杰 中冶集团建筑研究总院,北京
吴转琴 中冶集团建筑研究总院,北京
李佩勋 中冶集团建筑研究总院,北京
刘景亮 中冶集团建筑研究总院,北京
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Abstract:
      The element stiffness matrix is deduced in the paper based on the relationship of the nodal vertical forces of up beams under axial pressure and down string-net under tensions to the heights of stay bars. The FEM to calculate the heights of stay bars is provided according to the principle of the external loads equaling to the nodal forces of up beams and the down strings, and the FEM program is written. The initial strains of the down strings used to calculate the bi-directional string structure and the tension control method are given. The FEM process to calculate the form is introduced by examples of a flat roof and a curved roof bi-directional string structures. The accuracy of the method is confirmed and the heights of stay bars have no relation to the form of up beams is verified through the calculating of the examples. The method in the paper taking the height of stay bar as unknown and considering the arch effect of the curved up beams is easy to carry out and has an accurate result.