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| Parameter equation methods for determination of main cable''''s profile of suspension bridges |
| Revised:June 18, 2003 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20053061 |
| KeyWord:suspension bridge,the main cable's profile,analytical solution,parameter equation |
| ZHANG Zhi-guo ZOU Zhen-zhu~* ZHAO Yu-cheng |
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| Abstract: |
| Suppose the self-weight of main cable distributes uniformly along the curve length, and those of stiffening girder and bridge deck distributes uniformly along the horizontal length, the general solution of the main cable's profile formula after completion is derived. Then the nonlinear equation group of the main cable's profile is determined according to the boundary conditions and deformation compatibility condition. The horizontal component of the cable tension force and the corresponding parameters at the end points of the mid-span are derived according to the mid-span equations. After that, the parameters at the end point of the side-span are solved according to the equality of the horizontal components of the cable tension force between the mid-span and the side-span. Thus through solving a nonlinear equation, the coordinates of hanging points can be obtained. The quasi-Newton method is used to solve the nonlinear equation group and bisection method is used to solve the nonlinear equation. The result of the example shows that this method is easy for programming and has a rapid convergence. Also the results are of pretty high accuracy. |
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