Abstract
Cable force of construction control and alignment control of main girders are key factors for long-span railway cable-stayed bridges. To make both stayed cable force and alignment of main girders under ideal state simultaneously during construction, based on first-order optimum algorithm, this article regards bending strain energy as an objective function, and then the initial tension can be known through iteration. After analyzing the impact of some factors on alignment control of main girders, such as initial tension of stayed cables and construction load, the formula of alignment control about main girders can be obtained. Finally, taking one of the world's largest railway cable-stayed bridges for an example, the article calculates the initial tension of stayed cables, and analyses the effects of some factors on alignment control of long-span railway cable-stayed bridges. It turns out that this method can keep the alignment and internal force of main girders reasonable.
Highlights
With the development of railway transportation network, more and more railway bridges have been built
On the basis of simulation for construction processes of spatial nonlinear finite element, different objective functions are set, design variables and state variables are confined, and the optimum initial tension can be known, reasonable state for alignment of main girders after bridges is built can be obtained through analyzing the effects of initial tension and construction load on alignment control of main girders (Tan & Zhang, 2008; Kasuga, Arai, Breen, & Furukawa,1995; Xiao & Xiang,1998; Shi, Wang, Xiang, & Xu, 2002)
In the formula: is a function without constraints and dimensions; PF is penalty function that is confined by design variables PF ; P is penalty function that is confined by state variables j ; qn is penalty factor, which plays a key role on the degree of satisfaction for constraints; Q(0) is the bending strain energy between main girders and main pylons when there is no initial tension on stayed cables
Summary
With the development of railway transportation network, more and more railway bridges have been built. On the basis of simulation for construction processes of spatial nonlinear finite element, different objective functions are set, design variables and state variables are confined, and the optimum initial tension can be known, reasonable state for alignment of main girders after bridges is built can be obtained through analyzing the effects of initial tension and construction load on alignment control of main girders (Tan & Zhang, 2008; Kasuga, Arai, Breen, & Furukawa,1995; Xiao & Xiang,1998; Shi, Wang, Xiang, & Xu, 2002). In the formula: is a function without constraints and dimensions; PF is penalty function that is confined by design variables PF ; P is penalty function that is confined by state variables j ; qn is penalty factor, which plays a key role on the degree of satisfaction for constraints; Q(0) is the bending strain energy between main girders and main pylons when there is no initial tension on stayed cables. After F n 1 is gotten, we can judge whether the point is reasonable or not, based on the following principle: Q(F n 1) Q(F n )
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