基于桥跨索单元等效刚度非线性位移法的悬索桥空缆线形计算及软件开发  

Software Development and Computation of Shape-Founding for Suspension Bridges at Free Cable State Based on Nonlinear Displacement Method with Effective Stiffness of Whole Span of Cable Elements

作　　者：阴存欣 秦大航 YIN Cunxin;QIN Dahang(Beijing General Municipal Engineering Design&Research Institute Co.,Ltd.,Beijing 100082)

机构地区：[1]北京市市政工程设计研究总院有限公司,北京100082

出　　处：《北京建筑大学学报》2025年第1期106-113,共8页Journal of Beijing University of Civil Engineering and Architecture

基　　金：北京市市政工程设计研究总院有限公司科研计划项目(2023-KYQL-032)。

摘　　要：以基于悬链线索单元的力与线形关系方程为核心,按索单元的切线刚度矩阵,拟定了悬索桥几何非线性计算的算法和流程,并自主开发了适用于地锚式悬索桥和自锚式悬索桥找形计算的专业计算软件。基于恒定无应力索长原理,推导了空缆线形和索鞍预偏量计算的桥跨索单元等效刚度非线性位移法,不需通过倒拆分析便可同时求解悬索桥多个塔的预偏量和空缆线形。用开发的软件对工程算例进行分析表明,按分段悬链线索单元的地锚式悬索桥计算结果跟几何非线性正装计算结果一致,自锚式悬索桥的计算结果跟设计阶段的ANSYS计算结果吻合。Based on the core equations of the relationship of line shape to force,according to the tangient stiff matrix,the process and algorithm for geometric nonliear analysis of suspension bridges and the professional software of shape-founding for analysis of both earth-anchored and self-anchored suspension bridges have been developed.To solve the pre-bias of cable saddle and shape of self-weight cable,the nonlinear displacement method with the effective stiffness of whole span on the principle of constant free-stress cable length has been decuded,thus pre-bias of cable saddle of serval towers can be solved simultaniously without need of backword analysis.Result from analysis using the software shows that the solution by the segmental catenary of earth-anchored suspension bridge corresponds with that by geometric nonliear forward analysis design process,and the solution of self-anchored suspension bridge correspends with that by ANSYS during design process.

关 键 词：悬索桥 空缆线形 索鞍预偏量 分段悬链线 索单元 软件开发 

分 类 号：U448[建筑科学—桥梁与隧道工程]