随机参数预应力钢桁架随机内力摄动分析

PERTURBATION METHOD FOR ANALYZING RANDOM INTERNAL FORCES OF PRESTRESSED STEEL TRUSS WITH RANDOM PARAMETERS

用一组弹簧约束模拟钢架的实际支撑，代替传统支座形式［２］，建立了任意弹性约束拉索式预应力钢桁架的基本计算理论。考虑到弹性约束刚度、拉索刚度和预拉力的随机性，进一步得到了随机参数预应力钢架随机内力摄动分析的一般公式。给出了拉索式预应力钢架随机内力统计特性计算表达式。

A group of springs are used to simulate the practical supports of the steel truss instead of the generally used supports, and hence the fundamental computational theory of the cable-stressed steel truss with arbitary elastic constraints are established. In consideration of the randomness of elastic restraint stiffeness and both cable stiffeness and cable pretension, the general formulas for analyzing random internal forces of the prestressed steel truss by perturbation methed are obtained. Furthermore, the formulation of statistical properties of the random internal forces of the cable - prestressed steel trusses is put forward.