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基于逆可靠度理论的连续刚构桥稳定性分析

     

摘要

针对试错法求解逆可靠度问题效率较低的缺点,提出基于抛物线法解方程的逆可靠度问题求解算法,结合所提算法对某连续刚构桥最大悬臂状态稳定性进行评估,求得的稳定安全系数既考虑了参数不确定性,又满足预先给定的目标可靠指标,并分析参数不确定性对稳定安全系数的影响.计算结果表明,所提算法具有较高的效率和精度;参数不确定性对稳定安全系数有较大影响,忽略参数不确定性将会过高估计稳定安全系数.%In view of the inefficiency of the trial method in calculating the inverse reliability, this paper proposed an inverse reliability solution algorithm based on the parabolic equation method. The stability of one continuous rigid frame bridge at the maximum cantilever stage was assessed using the proposed method. The calculated safety factor can not only consider randomness of parameters but satisfy prescribed target reliability index. The influence of the uncertainty of parameters on safety factor was analyzed. The results show that the proposed inverse reliability method has obvious advantages of high efficiency and accuracy, and the parameter variability has a major effect on safety factor of rigid frame bridge. Ignoring the parameter variability will produce overestimation of safety factor.

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