基于等参映射与改进折半法的公路车桥耦合分析系统  

Highway Vehicle-bridge Interaction Analysis System Based on Isoparametric Mapping and Improved Binary Search

作　　者：赵越 黄平明[1] 刘修平 韩万水[1] 毛旺涛 ZHAO Yue;HUANG Pingming;LIU Xiuping;HAN Wanshui;MAO Wangtao(School of Highway,Chang’an University,Xi’an 710064,China)

机构地区：[1]长安大学公路学院,陕西西安710064

出　　处：《湖南大学学报（自然科学版）》2020年第11期29-37,共9页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(51878058);中央高校基本科研业务费资助项目(300102219402)。

摘　　要：针对传统全耦合车桥耦合分析计算量大、效率低的问题,基于等参映射及改进折半法建立公路车桥耦合分析系统.采用ANSYS建立桥梁有限元模型,利用MATLAB建立多种精细化车辆动力分析模型,采用全过程迭代法分别求解桥梁子系统与车辆子系统.为实现车轮荷载快速自动加载,引入四边形等参映射和改进折半查找法确定车桥接触点的插值系数和加载位置.基于弹簧-质量模型过简支梁算例及某大跨悬索桥行车试验,将该分析系统与经典数值分析方法、实测数据以及传统的时间步迭代方法进行对比.研究结果表明,所建立的车桥耦合分析系统具有较好的分析精度和计算效率,迭代过程收敛速度较快,可为高流量、高随机车辆荷载下桥梁结构空间响应分析提供参考.To reduce the computing work and improve the efficiency of vehicle-bridge coupling analysis when using traditional fully coupled method,a high efficiency highway vehicle-bridge interaction analysis system was established based on improved binary search and isoparametric mapping.The finite element model of the bridge was simulated using ANSYS,the multiple refined dynamic vehicles were modeled in MATLAB,and the inter-history iteration method was used to analyze the bridge subsystem and vehicle subsystem separately.The quadrilateral isoparametric mapping and improved binary search method were introduced for quick determination of interpolation coefficient and loading position of vehicle-bridge contact point to realize the quick automatic loading of wheel load.Based on the spring-mass model passing through a simply supported beam and a running test of a long-span suspension bridge,the proposed analysis system was compared with the classical numerical analysis method,measured data and traditional time step iteration method.The results show that the proposed analysis system exhibits a good computing efficiency and accuracy and rapid convergence,which can provide a reference for the bridge spatial response analysis under large and highly random traffic flow.

关 键 词：桥梁 车桥耦合分析 有限元模型 全过程迭代 改进折半查找 等参映射 

分 类 号：U445.446[建筑科学—桥梁与隧道工程]