基于非线性规划实现钢桁连续梁预拱度

Use Nonlinear Programming to Achieve Camber of Steel Truss Continuous Bridge

研究目的:大跨钢桁连续梁结构复杂,预拱度较大,影响预拱度计算结果因素较多。本文通过运用非线性规划理论建立数学模型,利用MATLAB软件,达到准确快速求解桁式方案复杂、拱度值较大的钢桁连续梁桥预拱度曲线的目的,为大型钢桁连续梁桥预拱度曲线实现方法提供参考。研究结论:求解桁式复杂的钢桁连续梁桥预拱度,应采用升降温计算方法实现结构预拱度;非线性规划理论优化目标明确,约束方程灵活,可方便快捷地得到结构的预拱度曲线,不失为一种求解桥梁预拱度曲线的普遍方法;本方法仅改变上弦杆的长度,可使设计工作大大简化。

Research purposes：There are many factors to affect the calculations of camber,because long-span steel-truss continuous girder has a complex structure and high camber.In this paper,the camber curve of steel truss continuous bridge with a complex truss and high camber is solved quickly and accurately through setting up the mathematical model with nonlinear programming theory and MATLAB software to provide the reference to achieving the camber curve of large-sized steel truss continuous bridge.Research conclusions：Temperature algorithm should be used to solve the camber of steel truss continuous bridge in order to achieve the structure camber curve.The optimized object can be made clear,the constraint equations can be flexible and the structure camber curve can be got easily and quickly with the theory of nonlinear programming.It＇s a common method to solve the camber curve of girder.With this method,it only needs changing the length of upper chord,so the design work.can be much simplified.