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首页> 外文期刊>International journal of mechanics and materials in design >Uncertain inverse method by the sequential FOSM and its application on uncertainty reconstruction of vehicle-pedestrian collision accident
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Uncertain inverse method by the sequential FOSM and its application on uncertainty reconstruction of vehicle-pedestrian collision accident

机译：顺序FOSM不确定的反向方法及其对车辆行人碰撞事故不确定性重建的应用

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摘要

Uncertainties widely exist in practical engineering problems. In order to effectively evaluate the unknown parameters under the uncertain measured responses, an efficient uncertain inverse method based on the sequential first order and second moment (FOSM) is proposed. The uncertain inverse problem is firstly transformed as a two-layer optimization problem involved uncertainty propagation and optimization inverse. In the inner layer, the maximum entropy principle is employed to model the probability density functions (PDFs) of the unknown parameters, and the sequential FOSM method is used to estimate the cumulative distribution functions of the calculated responses. In the outer layer, the intergeneration projection genetic algorithm is adapted to achieve the efficient solving of the transformed optimization problem. Two numerical examples are provided to verify the effectiveness of the proposed uncertain inverse method. Further, the proposed uncertain inverse method is applied to the reconstruction of the vehicle-pedestrian collision accident, and the statistical moments and PDFs of the vehicle state parameters before collision are reasonably identified.
机译：在实际工程问题中广泛存在的不确定性。为了在不确定的测量响应下有效地评估未知参数，提出了基于顺序第一阶和第二矩（FOSM）的有效不确定的逆方法。首先将不确定的逆问题作为双层优化问题转换，涉及不确定性传播和优化逆。在内层中，使用最大熵原理来模拟未知参数的概率密度函数（PDF），并且顺序FOSM方法用于估计计算的响应的累积分布函数。在外层中，代数投影遗传算法适于实现转化的优化问题的有效求解。提供了两个数值例子以验证所提出的不确定逆方法的有效性。此外，所提出的不确定逆方法应用于车辆行人碰撞事故的重建，以及在合理地识别碰撞之前车辆状态参数的统计矩和PDF。

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