拱轴线最优选择  

Arch Axis Shape Optimization

作　　者：裘伯永[1] 王艺民[1] 

机构地区：[1]长沙铁道学院土木工程系

出　　处：《长沙铁道学院学报》1991年第3期140-148,共9页Journal of Changsha Railway University

摘　　要：本文取最不利恒载与活载内力组合下使拱设计最经济合理为目标对象。根据拱的理论及实际经验,建立了内力与拱轴座标的显函数关系式,并利用样条函数描述拱轴线,从而简单地建立起具有显函数式的优化数学模型。采用序列线性规划方法求解,取得了令人满意的结果。实例表明节约显著。Engineers have turned to shape optimization of structures in producing safe and economical designs.In this paper,by means of the structural mechanics,the approximate explicit linear funct- ional relation between the arch axis shape and the structure inter- nal forces is analysed and deduced.The linear programming model of the optimal arch axis shape,described by three-order polynom- ial spline function,is established.The problem is solved by seguential linear programming. The mathematical model of arch axis shape optimization has the following characteristics:Most of the factors have been taken into consideration.The model has an explicit linear form- ulation and is easy to be solved without complex derivative calculations and gives a fast convergence.Hence it can be applied to practical engineering.Several examples have been taken and satisfactory results obtained.The reinforcement in arch can be economized about 20 percent.

关 键 词：拱桥 拱轴线 选择 设计 桥 

分 类 号：U448.220.2[建筑科学—桥梁与隧道工程]