求解合理拱轴线的加权能量方法  

Weighted Energy Method for Solving Reasonable Arch Axis

作　　者：周尚猛[1] 李亚东[1] 

机构地区：[1]西南交通大学土木工程学院,四川成都610031

出　　处：《公路交通科技》2010年第4期73-77,共5页Journal of Highway and Transportation Research and Development

摘　　要：通过构造一种基于拱轴线变形能的多参数拱轴线优化方法,以处理控制参数较少的函数曲线难以使拱轴线与压力线重合的问题。该方法以加权能量函数作为优化目标,运用样条曲线逼近主拱圈压力线,并建立主拱圈位移影响矩阵来计算主拱圈的位移调整量。加权能量方法将各个单元的弯曲变形能总和作为优化目标,通过给予每个位置的单元弯曲变形能不同的加权系数来达到调整拱轴线上各点的弯矩分布的目的。算例分析说明求解的拱轴线坐标是合理的,应用平均加权和高斯加权方法可有效减少主拱圈弯矩。In order to solve the problem that it is difficult to coincide arch axis with pressure line by only using the function curves which have less control parameters,a multi-parameter optimization method for arch axis based on the deformation energy of arch axis was presented.Taken the weighted energy function as the optimization objective,the method uses the spline curves to approach the pressure line of the main arch ring,and establishes the displacement influence matrix to calculate the adjustment quantity of the main arch ring.The summation of bending deformation energy of different elements was considered as the optimization objective in the weighted energy method.The distribution of the bending moment on the arch axis was adjusted by assigning different weighted coefficient to each element.The numerical example shows that the coordinate of arch axis positioned by the method is reasonable and the moment of the main arch ring can be reduced effectively by the methods of average weight coefficient and gauss weight coefficient.

关 键 词：桥梁工程 拱桥 加权能量方法 合理拱轴线 优化设计 样条曲线 

分 类 号：U448.22[建筑科学—桥梁与隧道工程]