A practical method for shape finding of spatial cable curves of suspension bridges
Received:August 12, 2020  Revised:September 29, 2020
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DOI:10.7511/jslx20200812002
KeyWord:suspension bridge  spatial cable  shape-finding  finite element method  iteration calculation
        
AuthorInstitution
马召宇 大连理工大学 建设工程学部, 大连
许福友 大连理工大学 建设工程学部, 大连
檀永刚 大连理工大学 建设工程学部, 大连
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Abstract:
      A practical method is proposed to overcome the limitations (such as sensitivity to initial values and easy divergence) of the existing methods (i.e., segmental catenary method and finite element method) for shape-finding of suspension bridges with spatial cables.This method is based on the finite element model of 3-dimensional cable-hanger system and takes the coordinates of cable nodes and the internal forces of elements as unknown parameters.The initial iterative values are determined by the low elasticity modulus method and the spatial cable shape is calculated by a nested loop which updates parameters in the inner cycle and erect coordinates in the outer cycle.Three numerical examples verify that the accuracy of this method is consistent with the segmental catenary method, but with fewer iterations, more stable convergence, and higher efficiency, and it can also be used to analyze the spatial cables with longitudinally inclined hangers.