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A coupled model for train-track-bridge stochastic analysis with consideration of spatial variation and temporal evolution

机译：考虑空间变化和时间演化的列车－轨道－桥梁随机分析耦合模型

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Due to random characteristics of system parameters and excitations, the dynamic assessment and prediction for the train-track-bridge interaction systems become rather complex issues needing to be addressed, especially considering the longitudinal inhomogeneity and uncertainty of dynamic properties in physics and correspondingly their temporal evolutions. In this paper, a temporal-spatial coupled model is developed to fully deal with the deterministicallyon-deterministically computational and analytical matters in the train-track-bridge interactions with a novelty, where a train-track-bridge interaction model is newly developed by effectively coupling the three-dimensional nonlinear wheel-rail contact model and the finite element theory, moreover, the Monte-Carlo method (MCM) and Karhunen-Loeve expansion (KLE) are effectively united to model the random field of track-bridge systems, and a spectral evolution method accompanied by a track irregularity probabilistic model are introduced to select the most representative track irregularity sets and to characterize their random evolutions in temporal dimension. In terms of random vibration analysis, the high-efficiency and effectiveness of this developed model is validated by comparing to a robust method, i.e., MCM. Apart from validations, multi applications of the temporal-spatial coupled model from aspects of deterministic computation, random vibration, resonant analysis and long-term dynamic prediction, etc., have been fully presented to illustrate the universality of the proposed model. (C) 2018 Elsevier Inc. All rights reserved.
机译：由于系统参数和激励的随机特性，列车-轨道-桥梁相互作用系统的动态评估和预测变得非常复杂，需要解决，特别是考虑到物理学中动态特性的纵向不均匀性和不确定性以及它们的时间演化。本文开发了一种时空耦合模型，以充分处理火车-铁路-桥梁相互作用中的确定性/非确定性计算和分析问题，其中新开发了火车-铁路-桥梁相互作用模型通过有效地结合三维非线性轮轨接触模型和有限元理论，有效地结合了蒙特卡罗方法（MCM）和Karhunen-Loeve展开法（KLE）来对轨道桥系统的随机场进行建模。 ，并介绍了一种谱演化方法以及轨道不规则概率模型，以选择最具代表性的轨道不规则集并表征它们在时间维度上的随机演化。在随机振动分析方面，通过与鲁棒的方法（即MCM）进行比较，可以验证此开发模型的高效性和有效性。除了验证以外，还从确定性计算，随机振动，共振分析和长期动态预测等方面全面介绍了时空耦合模型的多种应用，以说明所提出模型的通用性。 （C）2018 Elsevier Inc.保留所有权利。

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