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本文首先基于随机摄动理论建立了具有弹性约束的索张拉预应力钢桁架结构随机内力统计特性分析的计算公式,整体结构的基本随机参数包括折线索单元和桁架单元的截面面积(或综合刚度)、张拉钢索的预拉力、外荷载及约束刚度等。利用一次二阶矩法建立了任意单元失效模式的可靠度指标与验算点的迭代模型,并基于点估计法得到了整体结构可靠性指标的计算模型。通过数值分析对影响整体结构可靠性指标的有关参数进行了讨论,得到了一些有益的结论,为索张拉预应力钢结构整体可靠性设计奠定了一定的基础。
Firstly, based on the stochastic perturbation theory, the calculation formula of the statistical analysis of the random internal force of steel cable-tensioned prestressed steel truss structures is established. The basic random parameters of the overall structure include the cross-sectional area (or composite stiffness) of the folded-cable unit and the truss unit. ), Pretension, external load, and restraint stiffness of tension cables. The first-order second-moment method was used to establish the reliability index and the iterative model of the verification point of the failure mode of any unit, and the calculation model of the reliability index of the overall structure was obtained based on the point estimation method. Through the numerical analysis, the related parameters affecting the reliability index of the whole structure are discussed, and some useful conclusions are obtained, which lays a certain foundation for the overall reliability design of tensioned prestressed steel structures.