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首页> 外文期刊>Journal of bridge engineering >Predicting the Bounds of Vehicle-Induced Bridge Responses Using the Interval Analysis Method
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Predicting the Bounds of Vehicle-Induced Bridge Responses Using the Interval Analysis Method

机译：使用区间分析方法预测车辆引起的桥梁响应的界限

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摘要

A method for predicting the bounds of vehicle-induced bridge responses with uncertain bridge and vehicle parameters is presented. The uncertainties in the parameters of the bridge and vehicle are represented with interval variables instead of conventional random variables with known probability distributions. First, a three-dimensional vehicle-bridge interaction (VBI) system, which has no closed-form solution and can account for road roughness, is established. Then, by introducing the interval analysis method (IAM) based on the first-order Taylor series expansion, the expressions of the bridge responses, including displacement and bending moment at the midspan, can be explicitly given as functions of the interval parameters, and the lower and upper bounds of the bridge responses are determined by the particle swarm algorithm instead of direct interval arithmetic to avoid excessive overestimation of the responses. The subinterval technique can also be adopted to improve the accuracy of the IAM. A numerical example is provided, and the results show that, compared with the conventional Monte Carlo method, the proposed IAM is capable of obtaining the bounds of the bridge deflection and bending moment without much sacrifice of accuracy while requiring much less computational effort. This indicates that the proposed method can be effectively and efficiently applied to predicting the bounds of the dynamic responses of complicated VBI systems with interval uncertainties. An example is also used to demonstrate the applicability of the IAM to field bridges when only limited information about the bridge and vehicle is available.
机译：提出了一种在不确定桥和车辆参数的情况下预测车辆感应桥响应范围的方法。用间隔变量代替具有已知概率分布的常规随机变量来表示桥梁和车辆参数的不确定性。首先，建立了三维车桥交互（VBI）系统，该系统没有封闭形式的解决方案，可以解决道路不平整问题。然后，通过引入基于一阶泰勒级数展开的区间分析方法（IAM），可以明确给出桥响应的表达式，包括中跨位移和弯矩，作为区间参数的函数，并且桥梁响应的上下限由粒子群算法而非直接区间算法确定，以避免过度高估响应。还可以采用子间隔技术来提高IAM的准确性。数值例子表明，与传统的蒙特卡洛方法相比，所提出的IAM能够获得桥梁挠度和弯矩的边界，而不会牺牲太多的精度，而所需的计算量却更少。这表明所提出的方法可以有效，有效地应用于预测具有区间不确定性的复杂VBI系统的动态响应范围。当仅可获得关于桥梁和车辆的有限信息时，还使用一个示例来演示IAM在现场桥梁上的适用性。

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