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研究目的:减小张力索网结构所求实际预应力与预期预应力之间的差异,并更完善地描述结构力学行为。创新要点:提出张力索网结构全过程分析概念,并用10个状态描述了其物理或分析的状态,以及15个过程揭示了状态间内在的逻辑关系和力学分析理论;在应力释放分析中,采用逆分析法提出了一种用于求解合理零应力状态的迭代计算方法;在预应力成形分析中,为获取预应力状态建立了另一种迭代计算方法。研究方法:应力释放分析主要包括四个步骤:构件无应力长度及伸长量计算,最小范数最小二乘法,数值迭代方法,和执行程序(图4);预应力成形分析在能量方程的基础上提出了控制方程的显式表达式,并为避免初始刚度矩阵的奇异问题而采用了合理自应力模态(图5)。重要结论:比较本文提出的计算方法与动力松弛法得到的零应力态,发现结果吻合良好,证明计算过程收敛性良好且结果准确。在预应力成形分析中,采用本文迭代方法可以有效消除所求实际预应力与预期预应力之间的差异。此外,提出的所有计算方法都符合模块化流程,具有广泛适用性。
Research purposes: To reduce the difference between the actual prestress and the expected prestress required for tension cable networks, and to describe the structural mechanics more fully. Innovative points: The whole concept of tension cable network structure analysis is proposed, and its physical or analytical state is described in 10 states, and the logical relationship and mechanical analysis theory between states are revealed in 15 processes. In the stress release analysis, Inverse analysis presents an iterative method for solving a reasonable zero-stress state. In prestressing analysis, another iterative calculation method is established for obtaining the prestressed state. Research methods: Stress release analysis consists of four steps: component stress-free length and elongation calculation, least-norm least squares, numerical iteration method, and the implementation of the program (Figure 4); prestressing analysis based on the energy equation The explicit expression of the governing equations is presented and a reasonable self-stress mode is adopted to avoid the singularity problem of the initial stiffness matrix (Figure 5). Important conclusion: Comparing the zero-stress state obtained by the dynamic relaxation method with the calculation method proposed in this paper, the results are in good agreement. It proves that the convergence of the calculation process is good and the result is accurate. In prestressing analysis, the iterative method in this paper can effectively eliminate the difference between the actual prestress and the expected prestress. In addition, all the proposed methods are in line with the modular process, with a wide range of applicability.