Initial equilibrium state analysis of suspension bridge with spatial cables based on Steffens-Newton algorithm
Received:August 29, 2009  Revised:August 31, 2010
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DOI:10.7511/jslx201105012
KeyWord:cable-hanger coupling system  Steffens-Newton method  pattern search method  initial equilibrium state
        
AuthorInstitution
王晓明 长安大学 公路学院,西安
郝宪武 长安大学 公路学院,西安
段瑞芳 兰德公路工程咨询设计有限公司,上海
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Abstract:
      While calculating the initial equilibrium state of suspension bridge with spatial cables correctly,cable-hanger coupling system causes difficult convergence, and a rigorous approach is essential. In the paper, the equilibrium equation and the error adjustment equation of spatial cable-hanger system are established. The shape-change stiffness method and influence matrix method, which are widely used in plane cables, are proved inapplicable in spatial cables. Based on Steffens-Newton method with adjustable parameters, a rigorous analysis method for spatial cable-hanger coupling system is proposed.Program SN-ECFS is written. By the proposed method and pattern search method respectively, the calculation results of a numerical example are compared to indicate the precision and convergence efficiency of the proposed method.