Evaluating the response statistics of an uncertain bridge–vehicle system
Evaluating the response statistics of an uncertain bridge–vehicle system
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DOI：
10.1016/j.ymssp.2011.07.019
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发表时间：
2012-02
影响因子：
8.4
通讯作者：
S. Wu;S. Law
中科院分区：
文献类型：
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作者：
S. Wu;S. Law
本文研究随机移动荷载作用下具有固有不确定性的桥梁结构动力响应的统计预测问题。采用谱随机有限元法对桥梁结构中的不确定性进行建模，假定桥梁结构具有高斯特性。对于高斯分布的不确定移动力，采用Karhunen-Loève展开式表示。采用多项式混沌展开来表示系统的不确定性响应，使算法不局限于小不确定性系统。桥梁被建模为一个简单的支持伯努利-欧拉梁和桥梁车辆的相互作用力建模为高斯随机过程相关的功率谱密度的表面粗糙度在ISO标准中定义。建立了桥梁-车辆系统的数学模型，并采用Newmark-β法进行求解。桥梁的响应统计数据进行了比较，从Monte Carlo模拟。不同程度的不确定性，在系统参数和移动力的研究所提出的方法在随机分析的桥梁-车辆相互作用问题的准确性和鲁棒性。
This paper addresses the statistical prediction of dynamic response of a bridge structure with inherent uncertainty under stochastic moving loads. The uncertainty in bridge structure, which is assumed with Gaussian properties, is modeled by the Spectral Stochastic Finite Element Method. The uncertain moving forces with Gaussian distribution are represented by the Karhunen–Loève expansion. The Polynomial chaos expansion is adopted to represent the uncertain response such that the proposed algorithm is not limited to system with small uncertainty. The bridge is modeled as a simply supported Bernoulli–Euler beam and the bridge–vehicle interaction forces are modeled as Gaussian random processes related to the power spectral density of the surface roughness defined in the ISO standard. The mathematical model of the bridge–vehicle system is formulated and solved with the Newmark-β method. The response statistics of the bridge are compared with those from Monte Carlo simulation. Different levels of uncertainty in both the system parameters and the moving forces are studied to investigate the accuracy and robustness of the proposed method in the stochastic analysis of the bridge–vehicle interaction problem.