基于自适应悬链线有限质点法的松弛索结构形态与受力分析  

Analysis of form finding and mechanical performance of slack cable structures based on adaptive catenary finite particle method

作　　者：秦凯 赵帆 罗尧治[1] 方斌 陈尚沅 赵建明 QIN Kai;ZHAO Fan;LUO Yaozhi;FANG Bin;CHEN Shangyuan;ZHAO Jianming(College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310058,China;Beijing Institute of Architectural Design Co.,Ltd,Beijing 100045,China;Naval Research Institute of PLA,Beijing 100070,China;Beijing Construction Project Management Headquarters of Capital Airports Holdings Co.,Ltd,Beijing 100621,China)

机构地区：[1]浙江大学建筑工程学院,浙江杭州310058 [2]北京市建筑设计研究院股份有限公司,北京100045 [3]中国人民解放军海军研究院,北京100070 [4]首都机场集团有限公司北京建设项目管理总指挥部,北京100621

出　　处：《建筑结构学报》2025年第3期24-37,共14页Journal of Building Structures

基　　金：北京市建筑设计研究院有限公司创新发展基金项目(2022-069)。

摘　　要：内含松弛索单元的张拉结构因整体结构刚度矩阵奇异,采用有限元法(finite element method,FEM)对该类结构体系进行求解将十分困难。鉴于此,基于有限质点法(finite particle method,FPM)和悬链线索单元基本理论,构造能够考虑松弛效应的悬链线索单元质点模型;推导了悬链线索单元有限质点法的基本控制方程,并提出一种自适应变参数的显式时间积分算法(adaptive catenary finite particle method, AC-FPM),以提高松弛态索单元找形的收敛性与计算效率。以多个算例研究及工程应用验证了所提方法的有效性,结果表明:相较于传统FEM和FPM方法,所提方法计算精度高、迭代收敛速度快,同时对松弛态索结构初始几何位形要求低;且适用于索结构施工成形的正、反向分析;可准确求解含有松弛索单元的张拉结构体系的形态与受力。The tensile structure that incorporate slack cable elements present significant challenges for solution using the finite element method(FEM),due to the singularity of their overall structural stiffness matrix.This article constructed a particle model of the catenary cable element capable of accounting for slack effects,based on the principles of the finite particle method(FPM)and the fundamental theory of catenary cable elements.The basic control equation for the FPM catenary cable element was derived and an explicit time integration algorithm with adaptive variable parameter(adaptive catenary finite particle method,AC-FPM)was proposed,which significantly enhanced the convergence and computational efficiency of the form-finding process for slack cable elements in their slack state.The effectiveness of this method was validated through multiple case studies and an engineering application.Research indicates that compared to traditional FEM and FPM,the proposed method offers high computational precision,rapid iterative convergence,and minimal initial geometric configuration requirements for slack cable structures.It was applicable to both the forward and reverse analysis of the cable structure construction forming process and can accurately determine the form-finding and stress of tensile structural systems with slack cable elements.

关 键 词：松弛索结构 悬链线 机构运动 自适应变参数 施工成形 荷载缓和体系 

分 类 号：TU394[建筑科学—结构工程]