论文标题
中型到长跨桥的简化车桥交互
Simplified Vehicle-Bridge Interaction for Medium to Long-span Bridges Subject to Random Traffic Load
论文作者
论文摘要
这项研究介绍了一个简化的模型,用于在随机交通负荷的情况下进行中跨桥梁的桥梁 - 车辆相互作用。先前的研究集中在根据两个系统之间的兼容性得出的相互作用力来计算车辆或桥梁的确切响应。此过程需要每辆车每次步骤进行多次迭代,直到达到兼容性为止。当考虑车辆网络时,兼容性方程将变成一个耦合方程系统,该方程式大大增加了收敛过程的复杂性。在这项研究中,我们将问题简化为两个脱钩的子问题:(a)受随机高斯激发的桥梁,以及(b)受桥梁响应线性叠加和道路轮廓粗糙度的单个传感剂。该研究提供了足够的证据来确认仿真方法在桥梁跨度中等至长时间时具有最小的误差,并且时空载荷模式可以建模为随机高斯。与500 m长桥的常规方法相比,拟议的方法在计算方法上的效率高1000倍,其响应预测错误低于$ 0.1 \%$ $。
This study introduces a simplified model for bridge-vehicle interaction for medium- to long-span bridges subject to random traffic loads. Previous studies have focused on calculating the exact response of the vehicle or the bridge based on an interaction force derived from the compatibility between two systems. This process requires multiple iterations per time step per vehicle until the compatibility is reached. When a network of vehicles is considered, the compatibility equation turns to a system of coupled equations which dramatically increases the complexity of the convergence process. In this study, we simplify the problem into two sub-problems that are decoupled: (a) a bridge subject to random Gaussian excitation, and (b) individual sensing agents that are subject to a linear superposition of the bridge response and the road profile roughness. The study provides sufficient evidence to confirm the simulation approach is valid with a minimal error when the bridge span is medium to long, and the spatio-temporal load pattern can be modeled as random Gaussian. Quantitatively, the proposed approach is over 1,000 times more computationally efficient when compared to the conventional approach for a 500 m long bridge, with response prediction errors below $0.1\%$.