scholarly journals Adaptive integration technique for nearly singular integrals in near-field acoustics boundary element analysis

2013 ◽  
Author(s):  
Shen Qu ◽  
Hao-Ran Chen ◽  
Rui-Xiang Bai ◽  
Sheng Li
Keyword(s):  
Boundary Element ◽  
Singular Integrals ◽  
Near Field ◽  
Integration Technique ◽  
Element Analysis ◽  
Adaptive Integration ◽  
Nearly Singular Integrals ◽  
Boundary Element Analysis

3D Elastostatic Boundary Element Analysis of thin bodies by Integral Regularizations

2015 ◽  
Vol 31 (5) ◽  
pp. 533-543 ◽  
Author(s):  
Y.-C. Shiah
Keyword(s):  
Boundary Element ◽  
Singular Integrals ◽  
Successful Implementation ◽  
Distance Ratio ◽  
Element Analysis ◽  
Quadrature Scheme ◽  
Ansys Analysis ◽  
Usual Manner ◽  
Nearly Singular Integrals ◽  
Boundary Element Analysis

AbstractThis paper presents a regularization scheme for the nearly singular integrals used for 3D elastostatic boundary element analysis. For the regularization process, the local projection coordinates of the source point are first located via an iteration procedure. For planar elements, the boundary integrals are analytically integrated by parts to smooth the drastic fluctuations of their integrands so that the regularized forms can be numerically integrated by any conventional schemes in an usual manner. The validity of the formulations is numerically tested using the Gauss Quadrature scheme. The test shows the accuracy is satisfactory for the distance ratio (distance: Element characteristic length) falling below micro-scale. To further demonstrate our successful implementation, a numerical example is studied with verifications compared with ANSYS analysis.

Study on the Conditions of Near-Field Acoustic Levitation

2010 ◽  
Vol 97-101 ◽  
pp. 4135-4140 ◽  
Author(s):  
Yan De Liang ◽  
Hong Ling ◽  
Yuan Zhang
Keyword(s):  
Finite Element ◽  
Boundary Element ◽  
Radiation Pressure ◽  
Acoustic Radiation ◽  
Near Field ◽  
Acoustic Levitation ◽  
Element Analysis ◽  
Boundary Element Analysis ◽  
Acoustic Radiation Pressure

This paper establishes a near-field acoustic radiation pressure solving model applying with acoustics theory and derives an initial acoustic levitation calculating formula of rotundity objects. Combining with finite element and boundary element analysis, levitate conditions of levitated objects are calculated. This paper takes rectangular ultrasonic oscillator for example, testing and analyzing conditions of near-field acoustic levitation by using self-designed test equipments, the results are proved to be better.

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