基于改进权函数的探地雷达和无网格模拟检测混凝土结构空洞缺陷工程中的数学问题  

Mathematical Problems in Engineering Detection of Concrete Structures with Cavity Defects by Ground Penetrating Radar and Meshless Simulation Based on Improved Weight Function

作　　者：张冠军 余聪 黄山 舒志乐[4] 刘保县 吴海宽[4] Zhang Guanjun;Yu Cong;Huang Shan;Shu Zhile;Liu Baoxian;Wu Haikuan(Sichuan College of Architectural Technology,Deyang 618000,China;Chengdu Agriculture College,Chengdu 611130,China;Chengdu Technological University,Chengdu 611730,China;School of Emergency Science,Xihua University,Chengdu 610039,China)

机构地区：[1]四川建筑职业技术学院,四川德阳618000 [2]成都农业科技职业学院,四川成都611130 [3]成都工业学院,四川成都611730 [4]西华大学应急管理学院,四川成都610039

出　　处：《科学技术创新》2022年第33期122-126,共5页Scientific and Technological Innovation

基　　金：德阳市科学技术局(2017ZZ041);四川建筑职业技术学院(2017KJ01)的支持。

摘　　要：随着探地雷达(GPR)无损检测技术的发展,寻找一种高效、高精度的探地雷达无损检测正演建模方法显得十分重要。因此,提出了一种基于改进权函数并结合电磁波理论的无网格方法。使用MATLAB开发了相应的程序,用于探地雷达无损检测混凝土空洞缺陷的正向模拟,并将结果与实验结果进行了比较。结果表明,改进的权函数比其他权函数具有更高的灵敏度、更明显的收敛灵活性和相对较小的计算量。无网格法非常适合于模拟探地雷达(GPR)的无损检测结果。同时,它也反映了电磁波在传输过程中波场强度明显增强,而在缺陷外部时波场强度减弱。With the development of the non-destructive testing technology of ground penetrating radar(GPR),it is very important to find an efficient and high-precision forward modelling method for GPR nondestructive testing technology.Therefore,a meshless method based on an improved weight function and combined with electromagnetic wave theory was proposed.MATLAB was used to develop the corresponding program for the forward simulation of GPR non-destructive detection of cavity defects in concrete and the results were compared with experimental findings.The results show that the improved weight function has some advantages over other weight functions,including higher sensitivity,more obvious flexibility of convergence and a relatively smaller computational workload.The meshless method is very suitable for simulating the non-destructive testing results of ground penetrating radar(GPR).Simultaneously,it also reflects that the wave field intensity is obviously enhanced when the electromagnetic wave is in the process of transmission,and the wave field intensity is weakened when it is outside the defect.

关 键 词：探地雷达 改进权函数 无网格法 灵敏度 

分 类 号：TU31[建筑科学—结构工程]