随机振动荷载作用下结构动力可靠性设计方法研究

以轨道结构为例建立了车辆-轨道垂向耦合动力计算模型,并使用Wilson-q数值积分方法得到了轨道结构在列车荷载作用下的随机振动响应。基于随机过程跨越理论,得到了不同跨越假设以及极值分布条件下钢轨动力响应可靠度,并与数值模拟法结果进行比较,表明对于低跨越界限,极值I型分布法的计算结果最接近精确值;对于高界限则高斯分布法效果最好。

Study on Dynamic Reliability Analysis of Structures Due to Random Vibration Loads

The vertically dynamic model of vehicle-track system is developed and the random responses of the rails are achieved by Wilson-q numerical integral method.Based on the random process overcrossing theory,the analysis and compare of reliability is done for the vehicle-track system under condition of different overcrossing hypothesis and extremum distributing.According to the results,the value acquired by Gumbel-distributing method is the closest to the exact value for lower overcrossing limit,and for high overcrossing limit,the Gauss-distribution method is the most available.