矩形表面波探头声场的高斯声束叠加法  

Multi-Gaussian beam model for ultrasonic surface waves with angle beam rectangular transducers

作　　者：段晓敏[1,2] 赵新玉[3,4] 孙华飞[1] 

机构地区：[1]北京理工大学数学学院,北京100081 [2]大连交通大学理学院,大连116028 [3]北京理工大学机械与车辆学院,北京100081 [4]大连交通大学材料科学与工程学院,大连116028

出　　处：《物理学报》2014年第1期208-213,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:51105033;61179031)资助的课题~~

摘　　要：利用矩形压电晶片和有机玻璃楔块折射可激励出超声表面波,广泛用于固体近表面缺陷检测和材料特性测量.由于描述表面波三维声场的理论方法还鲜有报道,因而主要采用简化的表面波二维声场模型来定量分析这类问题.高斯声束模型近些年被广泛应用于解决超声体波传播的各种复杂问题,然而,目前还没有将其扩展应用到超声表面波的声场的计算中.通过结合表面波格林方程和矩形换能器的高斯声束模型,推导出基于高斯声束叠加的表面波三维声场解析解.进一步,将该方法与点源叠加的数值解进行了分析比较,计算结果表明表面波声场的高斯声束叠加方法在具有较好计算精度的同时,还具有更快的计算效率.Rayleigh waves propagating in an elastic surface are commonly used for the near surface faw detection and material characterization.However,unlike the bulk wave case,there are seldom three-dimensional models to be provided for the Rayleigh waves.In the past decade,multi-Gaussian beam models have been gradually developed and perfectly applied to solve many complicated propagation problems of bulk waves.However,up to date they have not been extended to the simulation of the Rayleigh waves.By combining the Rayleigh wave Green function and the multi-Gaussian beam model,a three-dimensional Rayleigh wave model is presented to calculate the beam felds radiated from a rectangular transducer mounted on the Lucite wedge.Furthermore,some simulation results of the provided method are compared to those of a more exacted point source model.It is shown that the multi-Gaussian surface wave model has good capability in both computational accuracy and efciency.

关 键 词：超声表面波 高斯声束模型 声场计算 点源叠加 

分 类 号：TG115.285[金属学及工艺—物理冶金]