Ultrasonic diffraction by a circular transducer: Isogeometric analysis sensitivity to full Gauss quadrature points

被引：6

作者：

Alia, Ahlem ^{[1
]}

机构：

[1] Lab Mecan Multiphys Multiechelle LaMcube, UMR 9013, F-59655 Villeneuve Dascq, France

来源：

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA | 2020年 / 147卷 / 02期

关键词：

RADIATION; FIELD;

D O I：

10.1121/10.0000591

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A successful evaluation of a radiated acoustic field was obtained by discretizing a circular transducer surface into only 20 Bezier elements. Accuracy of results was highly dependent on the number of Gauss points (ngp) used. This number can lead to changing the amplitude of both plane and edge waves, especially for near field points. But most changes have been detected between those waves where unexpected waves appeared. They can be of the same amplitude as the plane wave if ngp is chosen arbitrarily. To improve accuracy, the ngp must be increased gradually from the transducer centre and not only at its edge. (C) 2020 Acoustical Society of America

引用

页码：EL74 / EL79

页数：6

共 12 条

[1] ACCURACY OF FINITE-DIFFERENCE MODELING OF ACOUSTIC-WAVE EQUATION [J].

ALFORD, RM ;

KELLY, KR ;

BOORE, DM .

GEOPHYSICS, 1974, 39 (06) :834-842

[2] Finite difference modeling of the ultrasonic field radiated by circular transducers [J].

Alia, A ;

Djelouah, H ;

Bouaoua, N .

JOURNAL OF COMPUTATIONAL ACOUSTICS, 2004, 12 (04) :475-499

[3]

Alia A, 2006, Simulation numerique en vibroacoustic et en interaction fluide structure

[4] A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis [J].

Auricchio, F. ;

Calabro, F. ;

Hughes, T. J. R. ;

Reali, A. ;

Sangalli, G. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 249 :15-27

[5] Isogeometric finite element data structures based on Bezier extraction of NURBS [J].

Borden, Michael J. ;

Scott, Michael A. ;

Evans, John A. ;

Hughes, Thomas J. R. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2011, 87 (1-5) :15-47

[6] A performance study of NURBS-based isogeometric analysis for interior two-dimensional time-harmonic acoustics [J].

Coox, Laurens ;

Deckers, Elke ;

Vandepitte, Dirk ;

Desmet, Wim .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 305 :441-467

[7] TRANSIENT FIELD OF A BAFFLED PLANAR PISTON HAVING AN ARBITRARY VIBRATION AMPLITUDE DISTRIBUTION [J].

HARRIS, GR .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1981, 70 (01) :186-204

[8] B-Spline FEM for Time-Harmonic Acoustic Scattering and Propagation [J].

Khajah, Tahsin ;

Antoine, Xavier ;

Bordas, Stephane P. A. .

JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS, 2019, 27 (03)

[9] Direct Solution of the Rayleigh Integral to Obtain the Radiation Pattern of an Annular Array Ultrasonic Transducer [J].

Qian, Y. ;

Harrisa, N. R. .

26TH EUROPEAN CONFERENCE ON SOLID-STATE TRANSDUCERS, EUROSENSOR 2012, 2012, 47 :861-864

[10] Reduced Bezier element quadrature rules for quadratic and cubic splines in isogeometric analysis [J].

Schillinger, Dominik ;

Hossain, Shaikh J. ;

Hughes, Thomas J. R. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2014, 277 :1-45

← 1 2 →