The Variational Theory of Complex Rays: An answer to the resolution of mid-frequency 3D engineering problems

被引：19

作者：

Riou, H. ^{[1
]}

Ladeveze, P. ^{[1
]}

Kovalevsky, L. ^{[1
]}

机构：

[1] Univ Paris 06, ENS Cachan, LMT Cachan, CNRS,PRES UniverSud Paris, F-94230 Cachan, France

来源：

JOURNAL OF SOUND AND VIBRATION | 2013年 / 332卷 / 08期

关键词：

FINITE-ELEMENT-METHOD; STATISTICAL ENERGY ANALYSIS; COUPLING LOSS FACTORS; COMPUTATIONAL METHOD; HELMHOLTZ-EQUATION; FORMULATION; VIBRATIONS; BUBBLES; MODELS;

D O I：

10.1016/j.jsv.2012.05.037

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The Variational Theory of Complex Rays (VTRC) is an approach to the simulation of mid-frequency phenomena whose wavelengths are relatively small compared to the dimensions of the domain. This is a wave-based computational technique which involves a nonclassical variational formulation. This paper focuses on the development of the approach for 3D engineering problems and shows that it is a mature technique. Illustrations are given to show the capabilities of this method. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1947 / 1960

页数：14

共 41 条

[1]

[Anonymous], 1960, The theory of thin elastic shells

[2]

[Anonymous], 2001, COMPUTER ASSISTED ME

[3] A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution [J].

Babuska, I ;

Ihlenburg, F ;

Paik, ET ;

Sauter, SA .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 128 (3-4) :325-359

[4]

Belov V.D., 1975, J SOVIET PHYS ACOUST, V21, P173

[5] Element-Free Galerkin solutions for Helmholtz problems: formulation and numerical assessment of the pollution effect [J].

Bouillard, P ;

Suleau, S .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 162 (1-4) :317-335

[6] Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem [J].

Cessenat, O ;

Despres, B .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (01) :255-299

[7] A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain [J].

Chaillat, Stephanie ;

Bonnet, Marc ;

Semblat, Jean-Francois .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (49-50) :4233-4249

[8] The discontinuous enrichment method [J].

Farhat, C ;

Harari, I ;

Franca, LP .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (48) :6455-6479

[9]

Franca LP, 1997, INT J NUMER METH ENG, V40, P4003, DOI 10.1002/(SICI)1097-0207(19971115)40:21<4003::AID-NME199>3.0.CO

[10]

2-Z

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