针对声学有限元分析中四节点等参单元计算精度低,对网格质量敏感的问题,将无网格径向插值技术引入到标准有限元中,构造径向插值形函数,推导径向插值有限元法(Radial interpolation finite element method,RIFEM)的二维声学数值计算公式...针对声学有限元分析中四节点等参单元计算精度低,对网格质量敏感的问题,将无网格径向插值技术引入到标准有限元中,构造径向插值形函数,推导径向插值有限元法(Radial interpolation finite element method,RIFEM)的二维声学数值计算公式。二维声学RIFEM采用标准有限元法形函数构造系统离散方程的声学刚度矩阵和边界积分矢量,保证了声压梯度和边界条件在区域边界的积分精度;采用径向插值形函数构造系统离散方程的质量矩阵,提高了声压数值近似函数的插值精度。对管道二维声腔模型和某轿车二维声腔模型的数值分析结果表明,与标准有限元法和SFEM相比,RIFEM的计算精度更高,对波数、单元尺寸和网格扭曲程度的灵敏度更低。因此RIFEM可以很好地应用于二维声学数值分析,具有广阔的工程应用前景。展开更多
Acoustical tweezer is a primary application of the radiation force of a sound field. When an ultrasound focused beam passes through a micro-particle, like a cell or living biological specimens, the particle will be ma...Acoustical tweezer is a primary application of the radiation force of a sound field. When an ultrasound focused beam passes through a micro-particle, like a cell or living biological specimens, the particle will be manipulated accurately without physical contact and invasion, due to the three-dimensional acoustical trapping force. Based on the Ray acoustics approach in the Mie regime, this work discusses the effects on the particle caused by Gaussian focused ultrasound, studies the acoustical trapping force of spherical Mie particles by ultrasound in any position, and analyzes the numerical calculation on the two-dimensional acoustical radiation force. This article also analyzes the conditions for the acoustical trapping phenomenon, and discusses the impact of the initial position and size of the particle on the magnitude of the acoustical radiation force. Furthermore, this paper considers the ultrasonic attenuation in a particle in the case of two-dimension, studies the attenuation's effects on the acoustical trapping force, and amends the calculation to the ordinary case with attenuation.展开更多
We report two models of the lateral displacement of acoustic-wave scattering on a fluid-solid interface that reveal an acoustic analog of the Goos-Hainchen effect in optics. This acoustic analog is called the acoustic...We report two models of the lateral displacement of acoustic-wave scattering on a fluid-solid interface that reveal an acoustic analog of the Goos-Hainchen effect in optics. This acoustic analog is called the acoustic Goos-Hainchen effect. Using newly proposed models, we made numerical calculations for the system ofa water-Perspex interface. Specifically, in the post-critical-angle region, we observed a lateral displacement （and transition time） of the reflected P-wave with respect to the incident P-wave. The first arrival of the acoustic signal from the interface is found to be a reflected P-wave rather than the sliding-refraction P-wave usually described in traditional acoustic-logging sliding P-wave theory. For both proposed models, the effective propagation speed of the reflected P-wave along the interface depends on not only the physical properties of the interracial media but also the incident angle. These observations are intriguing and warrant further investigation.展开更多
文摘针对声学有限元分析中四节点等参单元计算精度低,对网格质量敏感的问题,将无网格径向插值技术引入到标准有限元中,构造径向插值形函数,推导径向插值有限元法(Radial interpolation finite element method,RIFEM)的二维声学数值计算公式。二维声学RIFEM采用标准有限元法形函数构造系统离散方程的声学刚度矩阵和边界积分矢量,保证了声压梯度和边界条件在区域边界的积分精度;采用径向插值形函数构造系统离散方程的质量矩阵,提高了声压数值近似函数的插值精度。对管道二维声腔模型和某轿车二维声腔模型的数值分析结果表明,与标准有限元法和SFEM相比,RIFEM的计算精度更高,对波数、单元尺寸和网格扭曲程度的灵敏度更低。因此RIFEM可以很好地应用于二维声学数值分析,具有广阔的工程应用前景。
基金supported by the National Basic Research Program of China(Grant Nos. 2012CB921504, 2011CB707902)the National Natural Science Foundation of China(Grant No. 11274166)+3 种基金Fundamental Research Funds for the Central Universities(Grant Nos. 1113020403,1101020402)the State Key Laboratory of Acoustics, Chinese Academy of Sciences(Grant No. SKLA201207)the priority academic program development of Jiangsu Higher Education Institutions and SRF for ROCS, SEMproject of Interdisciplinary Center of Nanjing University
文摘Acoustical tweezer is a primary application of the radiation force of a sound field. When an ultrasound focused beam passes through a micro-particle, like a cell or living biological specimens, the particle will be manipulated accurately without physical contact and invasion, due to the three-dimensional acoustical trapping force. Based on the Ray acoustics approach in the Mie regime, this work discusses the effects on the particle caused by Gaussian focused ultrasound, studies the acoustical trapping force of spherical Mie particles by ultrasound in any position, and analyzes the numerical calculation on the two-dimensional acoustical radiation force. This article also analyzes the conditions for the acoustical trapping phenomenon, and discusses the impact of the initial position and size of the particle on the magnitude of the acoustical radiation force. Furthermore, this paper considers the ultrasonic attenuation in a particle in the case of two-dimension, studies the attenuation's effects on the acoustical trapping force, and amends the calculation to the ordinary case with attenuation.
基金the Xi’an University of Posts and Telecommunicationsthe Physical Sciences Division at the University of Chicagothe Scientific Research Program(Grant No.15JK1685)of the Shaanxi Provincial Education Department
文摘We report two models of the lateral displacement of acoustic-wave scattering on a fluid-solid interface that reveal an acoustic analog of the Goos-Hainchen effect in optics. This acoustic analog is called the acoustic Goos-Hainchen effect. Using newly proposed models, we made numerical calculations for the system ofa water-Perspex interface. Specifically, in the post-critical-angle region, we observed a lateral displacement （and transition time） of the reflected P-wave with respect to the incident P-wave. The first arrival of the acoustic signal from the interface is found to be a reflected P-wave rather than the sliding-refraction P-wave usually described in traditional acoustic-logging sliding P-wave theory. For both proposed models, the effective propagation speed of the reflected P-wave along the interface depends on not only the physical properties of the interracial media but also the incident angle. These observations are intriguing and warrant further investigation.
