Optimization Of Cable Tension In Reasonable Finished State Of Single Diagonal-span Arch Bridge

With the development of the society,bridge structure does not only satisfy the function of traffic but also is a structure of an artwork in the society.Bridge style becomes more varied because people pay more attention to bridge aesthetics.Some novel special-shape arch bridge have been coming to people base on the traditional arch bridge.Generally speaking,compared with the traditional arch bridge,the special-shape arch bridge pursue the visual beauty but sacrifice the rationality of the structure.It masks the bridge design more reasonable that find a balance between mechanics and aesthetics of bridge structure.Base on the project of Tong-Tai bridge,study the method of optimizing the cable tension in reasonable finished state of single diagonal-span arch bridge,pproximate axis of the arch, and analysing the stability of the structure.The treated main items include:Introduce the theory of reasonable finished state and the usual method for determining reasonable finished state,study the constrained and unconstrained optimization method for determining cable tension in reasonable finished state considering spatial effect based on energy method.In order to verify the applicability to single diagonal-span arch bridge,the project of Tong-Tai bridge is analysed by constrained and unconstrained optimization method using the finite element analysis(FEA) software and maths application software MATLAB. Cable tension is unreasonable after analyse by unconstrained optimization method for minimal energy in finished state but improved by analyse with optimization function constructed by adding weight coefficient.Reasonable finished state is obtained by analyse with constrained optimization method for minimal energy in Finished State and reasonable state under live load.Study the sensitiveness of the optimization target on internal forces of finished state,attempt to simplify the method of optimization of cable tension in reasonable finished state of single diagonal-span arch bridge.The results show that the engery of twist and in-plane moment on main beam will influence the internal forces of finished state more obviously than other facters.Calculate the vibration characteristics of arch and analyse the influence of displacement at arch feet,temperature and stiffness on self-vibration frequencies.