摘要
张拉成形是张力索杆体系施工的一个重要环节.文中针对车辐式张力索杆体系的张拉成形过程,基于单元无应力长度和结构拓扑关系,采用解析抛物线单元模拟索,利用铰接索杆体系平衡矩阵建立其节点不平衡力列式;对周边梁柱索节点,基于有限元节点平衡方程,考虑连续协调的约束线位移和边界约束,将总刚度矩阵写成分块形式,建立周边节点仅考虑三线自由度不平衡力的统一节点不平衡力列式.采用动力松弛法对协同作用整体结构体系的节点不平衡力方程进行非线性迭代求解,并编程实现了该算法.用该算法对深圳宝安体育场张力索结构罩棚进行了施工整体张拉成形分析.结果表明,该算法是有效的,用抛物线单元模拟索比用杆单元更准确,且周边梁柱结构协同效应对施工张拉整体成形过程模拟的影响不可忽略.
Aiming at the tension forming of a spoke-shaped tensile cable-strut assembly,which is an important step of the assembly construction,an analytical parabolic element was adopted to simulate the cable based on the unstressed cable length and the structural topology,and a nodal unbalanced force vector was formulated with the equilibrium matrix of the pin-jointed cable-strut system.Then,on the basis of the finite-element nodal equilibrium equation and by considering the continuous and compatible constrained linear displacement and the boundary constraints,the global stiffness matrix was described in a sector form,and a united nodal unbalanced force formula was thus deduced for the perimetric beam-column-cable joints,which only takes into consideration 3 linear degrees of freedom.Moreover,a nonlinear iterative resolution was performed via the dynamic relaxation for the deduced formula,and the proposed algorithm was implemented by programming.Finally,a case study on the tension forming of the tensile cable-strut canopy of Shenzhen Baoan Stadium was carried out with the proposed algorithm.The results indicate that(1) the proposed algorithm is effective in analyzing the tension forming;(2) the parabolic element is more accurate in cable simulation than the link element;and(3) the synergistic effects of perimetric column-beam structures cannot be neglected during the simulation of integral tension forming.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2011年第12期152-158,共7页
Journal of South China University of Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(50878128)
关键词
车辐式张力索杆体系
张拉成形
抛物线单元
统一节点不平衡力
动力松弛法
spoke-shaped tensile cable-strut assembly
tension forming
parabolic element
united nodal unba-lanced force
dynamic relaxation
