多层圆柱体锚固结构中超声导波频散特征的研究  

Research on dispersion characteristics of ultrasonic guided waves in multilayer cylinder anchored structures

作　　者：白雨佳 张昌锁[1] 牛潘宇 张玥 赵金昌[1] BAI Yu-jia;ZHANG Chang-suo;NIU Pan-yu;ZHANG Yue;ZHAO Jin-chang(College of Mining Engineering,Taiyuan University of Technology,Taiyuan 030024,China;State Key Laboratory of Explosion Science and Technology,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]太原理工大学矿业工程学院,太原030024 [2]北京理工大学爆炸科学与技术国家重点实验室,北京100081

出　　处：《计算力学学报》2023年第5期773-780,共8页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(50774054)资助项目。

摘　　要：超声导波无损检测技术因其高效和快捷的优点成为检测锚杆锚固质量的有效方法。但锚固锚杆结构中超声导波的多模态性、频散性与能量泄露导致完整的锚杆底端反射信号的获得具有不确定性。应用弹性动力学理论并采用全局矩阵法建立超声导波在多层圆柱体锚固结构中的频散方程的通用表达式,然后通过非线性外推法和二分法两步算法求解频散方程的精确解,解决了频散曲线的分类和相交等难题,获得了具有自主知识产权的求解多层圆柱体锚固结构频散曲线的程序。利用该程序计算了不同锚固锚杆结构的频散曲线,并与商用软件Disperse计算的结果吻合较好。同时用本程序计算了实验室有限锚固结构中的频散曲线,验证了低频导波在有限与无限结构中的巨大差异,而这一结构特征的频散特性Disperse并未给出相关算例。The efficiency and convenience of ultrasonic guided wave non-destructive testing(NDT)has allowed it to become one of the key methods used to determine the grouting quality of anchored rock bolts.However,the multimodal,dispersive,and energy leakage-prone nature of ultrasonic guided waves in an anchored structure introduces uncertainties,in terms of signal collection,to this form of NDT.Multilayer cylindrical theoretical rock bolt models were established using the global matrix method based on elastic dynamic theories to obtain the dispersion equations for the models.The quadratic extrapolation and bisection methods were used to accurately solve the dispersion equations by dealing with the difficult problems brought on by the categorization,intersection,and bifurcation of the dispersion curves.This study’s solution of the dispersion equation can act as a basis for and allows the establishment of a Made-In-China commercial multilayer cylindrical rock bolt model dispersion equation solution software that is comparable to that of the foreign copyrighted software,Disperse.Furthermore,the results of this study agree with the results from Disperse.The dispersion curves in laboratory finite anchored structures were also calculated with this software,verifying the great difference between low-frequency guided waves in finite and infinite structures,while Disperse did not give relevant numerical examples for the dispersion characteristics of this structural feature.

关 键 词：无损检测 锚固锚杆 全局矩阵法 超声导波 Disperse软件 

分 类 号：TG115[金属学及工艺—物理冶金] TB559[金属学及工艺—金属学]