基于能量法的系杆拱桥最优吊杆内力的确定  

DETERMINATION OF THE OPTIMAL HANGER FORCES FOR TIED-ARCH BRIDGES BASED ON ENERGY METHODS

作　　者：刘钊[1] 

机构地区：[1]东南大学混凝土及预应力混凝土结构教育部重点实验室,南京210096

出　　处：《工程力学》2009年第8期168-173,共6页Engineering Mechanics

基　　金：江苏省自然科学基金项目(BK2002061)

摘　　要：以极小化拱肋和系梁的应变能为目标,研究了确定吊杆合理内力的三种方法:其一是基于无约束最小应变能原理的"刚性吊杆法";其二是基于无约束最小弯曲应变能原理的"无限轴向刚度法";第三种方法是形成一个二次规划问题,以离散化结构的最小弯曲应变能为目标函数,以某些位置的弯矩、位移或吊杆内力等作为约束条件。在具体求解方法上,指出"刚性吊杆法"和"无限轴向刚度法"可以通过对某些截面赋大值的方法实现,同时也讨论了"二次规划法"的目标函数和约束条件的构建和求解方法。最后,结合实例讨论了这三种方法的应用情况,显示其具有很好的工程应用价值。By taking the minimum strain energy as objective functions, three approaches for determining the optimal hanger forces of tie-arch bridges are proposed. The first one is named Stiff Hanger Method, which is based on unconstrained minimum strain energy. The second one is termed Infinite Axial Stiffness Method, based on unconstrained minimum bending strain energy. In the third approach, a quadratic programming problem is formed, in which the objective function is to minimize the bending strain energy of the discrete structure, and the constraints can be set by giving the upper and lower boundaries of bending moments for some sections, acceptable displacement at certain points and/or limits for hanger forces. As to the implementation procedure, the Stiff Hanger Method and the Infinite Axial Stiffness Method can be executed by substituting some cross-sectional areas with large enough numerical values, and the practical process for solving the quadratic programming problem is also discussed. In the end, the applications of the three methods are exemplified and discussed.

关 键 词：桥梁 系杆拱桥 能量法 吊杆内力 设计 优化 

分 类 号：U441[建筑科学—桥梁与隧道工程] U448.22[交通运输工程—道路与铁道工程]