板柱结构预应力筋铺设顺序拓扑优化与工程应用
作者简介:
王庆,高级工程师,E⁃mail: 389471800@ qq. com
作者单位:
1.陕西省建筑科学研究院有限公司,陕西西安 710082;2.中国建筑一局(集团)有限公司陕西分公司,陕西西安 710075;3.西安建筑科技大学土木工程学院,陕西西安 710055
基金项目:
陕西省重点研发计划(2025YS⁃01);陕西省省级国有资本经营预算科技创新专项资金项目(ZXZJ⁃2024⁃015);陕西省建筑科学研究院科研项目(2023⁃11⁃458,2024⁃1⁃503,2025⁃1⁃545)
摘要:
钢筋混凝土板柱结构凭借其空间利用率高、施工经济性好等优势,在现代大跨度建筑中应用广泛。然而,传统预应力筋铺设方式在多跨密集区域易引发摩擦力增大、线形移位、护套磨损及施工效率低等问题,严重制约工程质量与进度。针对这一难题,提出一种基于图论与拓扑排序的预应力筋铺设顺序优化方法。通过建立标高差矩阵将纵横向钢绞线的空间关系抽象为有向加权二分图模型,并采用 Kahn 算法生成无冲突的铺设序列。工程实践表明,该方法显著减少了交叉干扰,使施工效率提升约 83%,同时有效保障了预应力筋线形精度与结构耐久性。

English:
Reinforced concrete slab⁃column structures are widely used in modern long⁃span buildings dueto their advantages of high space utilization and economic efficiency in construction. However, traditionalprestressing tendon laying methods in multi⁃span dense areas often lead to some problems such asincreased friction, linear displacement, sheath wear, and low construction efficiency,which severelyconstrain project quality and progress. To address these challenges, this paper proposes an optimizationmethod for the prestressing tendon laying sequence based on graph theory and topological sorting. Byconstructing an elevation difference matrix, the spatial relationships between longitudinal and transversesteel strands are abstracted into a directed weighted bipartite graph model, and Kahns algorithm isemployed to generate a conflict⁃free laying sequence. Engineering practice shows that this methodsignificantly reduces cross⁃interference, improves construction efficiency by approximately 83%, andeffectively ensures the precision of tendon alignment and structural durability.