基于遗传算法和黏弹性理论的路基模量反算方法  

Back-Calculation of Subgrade Modulus Based on Genetic Algorithm and Viscoelasticity Theory

作　　者：代富贵 王曦辉 吴亚光 李海[2] DAI Fugui;WANG Xihui;WU Yaguang;LI Hai(China Road&Bridge Corporation,Beijing 100011,China;National Engineering Laboratory of Highway Maintenance Technology,Changsha University of Science&Technology,Changsha,Hunan 410114,China)

机构地区：[1]中国路桥工程有限责任公司,北京市100011 [2]长沙理工大学公路养护技术国家工程实验室,湖南长沙410114

出　　处：《中外公路》2024年第5期65-74,共10页Journal of China & Foreign Highway

基　　金：中国路桥工程有限责任公司科研项目(编号:P2200001)。

摘　　要：为了提高PFWD检测方法对路基模量反算的适用性,该文依托内罗毕西环线路基拼接工程,通过采用三维Kelvin黏弹性模型以及准静态响应分析方法,推导了长期固定荷载作用下黏弹性路基的位移函数,并结合黏弹性的线性叠加原理以及遗传算法,提出了基于多种群遗传算法的黏弹性路基模量反算新方法(TIV-AMGADCO)。其中,相应的反算程序采用Matlab编写。理论推导与现场测试对比验证表明:在PFWD荷载作用下,路基顶面竖向位移峰值明显滞后于荷载峰值;而基于弹性半空间模型的传统方法,仅选取位移和荷载峰值进行反算,导致其计算结果较新方法反算结果大20%左右;同时,新方法正算得到的位移时程曲线与真实曲线的相关系数基本大于0.9,对比其他方法的结果,其计算差距基本保持在10%左右;同时新方法收敛速度快,具有较好的适应性,能够较为准确地反算出路基模量,可作为路基设计与施工质量控制的依据。To improve the applicability of the PFWD detection method for the back-calculation of subgrade modulus,taking the subgrade splicing project of the west loop line in Nairobi as an example,this paper adopted 3D Kelvin viscoelasticity model and quasi-static response analysis to deduce the displacement function of viscoelastic subgrade under long-term fixed loads,and combined the principle of liner superposition of viscoelasticity with genetic algorithm to propose a new method based on multi-population genetic algorithm for the modulus back-calculation of viscoelastic subgrade.Among them,the corresponding program for back-calculation was written by Matlab.The comparison between theoretical derivation and field tests shows that the peak value of vertical displacement on the top of subgrade under PFWD loads lags behind the load peak value.However,selecting only the displacement and load peak value for back-calculation,the traditional method based on the elastic half-space model yields a calculation result 20%larger than the result by the new method.At the same time,the correlation coefficient between the displacement time-history curve calculated by the new method and the real curve is basically greater than 0.9,and compared with the results by other methods,the calculation difference is about 10%.Moreover,with fast convergence speed,good adaptability,and accurate back-calculation results of subgrade modulus,the new method can be the reference for subgrade design and construction quality control.

关 键 词：路基模量 黏弹性模型 模量反算 遗传算法 

分 类 号：U416.1[交通运输工程—道路与铁道工程]