计算力学学报2016,Vol.33Issue(3):381-387,7.DOI:10.7511/jslx201603016
基于细长梁单元的悬索桥主缆线形分析
Study on main cable shape of suspension bridge based on slender beam element
摘要
Abstract
Refined analysis for main cable shape of suspension bridge needs to consider the impact of bending stiffness and original curve simultaneously .For the reason the main cable is discretized into the slender beam element with small deflection .Stiffness matrix of the slender beam element is derived , which contains the dead weight items ,and takes into account the influence of axial force on the bending stiffness and the axial stiffness correction factor caused by the bending moment .Finite element program for shape calculation of main cable is compiled based on the slender beam element .An improved iteration method for solving nonlinear equilibrium geometry of the structure is adopted in the program ,and the modification method for main cable shape at the saddle is also considered .Deformation of main cable under dead load is calculated by the program for two suspension bridge .The results show that there is a greater impact on the deformation of the bending stiffness of main cable in the mid span and in the vicinity of cable pylon .And the greater sag to span ratio ,the greater deformation calculation error . Deformation calculation error of main cable caused by the bending stiffness will bring some problems , such as cutting length of hanger inaccurate ,lofting coordinate of cable clamp inaccurate ,bridge deck shape not up to the design requirements and uneven distribution of hanger axial force in the finished bridge state .These problems need to be taken seriously enough in the design and construction ,especially for the self‐anchored suspension bridge with a larger sag to span ratio .关键词
悬索桥/主缆线形/细长梁单元/刚度矩阵/非线性有限元程序/矢跨比Key words
suspension bridge/main cable shape/slender beam/stiffness matrix/nonlinear finite element program/sag to span ratio分类
交通工程引用本文复制引用
严琨,沈锐利..基于细长梁单元的悬索桥主缆线形分析[J].计算力学学报,2016,33(3):381-387,7.基金项目
国家自然科学基金(51178396,51308466)资助项目. ()