A weak-form meshfree coupled with infinite element method for predicting acoustic radiation

2019 ◽  
Vol 107 ◽  
pp. 63-78 ◽  
Author(s):  
Shaowei Wu ◽  
Yang Xiang
Keyword(s):  
Acoustic Radiation ◽  
Weak Form ◽  
Infinite Element ◽  
Infinite Element Method ◽  
Element Method

A MODIFIED INFINITE ELEMENT METHOD FOR ACOUSTIC RADIATION

2002 ◽  
Vol 10 (01) ◽  
pp. 113-121 ◽  
Author(s):  
L.-X. LI ◽  
J.-S. SUN ◽  
H. SAKAMOTO
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Governing Equation ◽  
Sound Pressure ◽  
Acoustic Radiation ◽  
Infinite Element ◽  
Relative Boundary ◽  
Infinite Element Method ◽  
Finite Element Meshes ◽  
Element Method

An infinite element method is proposed to help solve practical problems in engineering and extend the applicability of infinite element. Based on the Helmholtz's equation, a novel governing equation is derived in terms of the modified sound pressure. The relative boundary conditions are established and the system matrices in using the combination of conventional finite element and new infinite element are subsequently formed. As a result, the use of coarser finite element meshes is permitted for a given frequency. The effectiveness and accuracy of this method are demonstrated in application to two typical examples.

Analysis of Structural and Non-Structural Problems by Coupling of Finite and Infinite Elements

2014 ◽  
Vol 578-579 ◽  
pp. 445-455
Author(s):  
Mustapha Demidem ◽  
Remdane Boutemeur ◽  
Abderrahim Bali ◽  
El-Hadi Benyoussef
Keyword(s):  
Numerical Technique ◽  
Near Field ◽  
Main Idea ◽  
Far Field ◽  
Mining Operations ◽  
Infinite Element ◽  
Infinite Elements ◽  
Structural Problems ◽  
Infinite Element Method ◽  
Element Method

The main idea of this paper is to present a smart numerical technique to solve structural and non-structural problems in which the domain of interest extends to large distance in one or more directions. The concerned typical problems may be the underground excavation (tunneling or mining operations) and some heat transfer problems (energy flow rate for construction panels). The proposed numerical technique is based on the coupling between the finite element method (M.E.F.) and the infinite element method (I.E.M.) in an attractive manner taking into consideration the advantages that both methods offer with respect to the near field and the far field (good accuracy and sensible reduction of equations to be solved). In this work, it should be noticed that the using of this numerical coupling technique, based on the infinite element ascent formulation, has introduced a more realistic and economic way to solve unbounded problems for which modeling and efficiency have been elegantly improved. The types of the iso-parametric finite elements used are respectively the eight-nodes (Q8) and the four-nodes (Q4) for the near field. However, for the far field the iso-parametric infinite elements used are the eight-nodes (Q8I) and the six-nodes (Q6I).

Study on Numerical Methods for Acoustic Radiation of Open Structure

2010 ◽  
Vol 439-440 ◽  
pp. 692-697
Author(s):  
Li Jun Li ◽  
Xian Yue Gang ◽  
Hong Yan Li ◽  
Shan Chai ◽  
Ying Zi Xu
Keyword(s):  
Boundary Element Method ◽  
Numerical Methods ◽  
Boundary Element ◽  
Acoustic Radiation ◽  
Coupling Method ◽  
Open Structure ◽  
Acoustic Coupling ◽  
Infinite Element Method ◽  
Direct Boundary Element Method ◽  
Element Method

For acoustic radiation of open thin-walled structure, it was difficult to analyze directly by analytical method. The problem could be solved by several numerical methods. This paper had studied the basic theory of the numerical methods as FEM (Finite Element Method), BEM (Boundary Element Method) and IFEM (Infinite Element Method), and the numerical methods to solve open structure radiation problem. Under the premise of structure-acoustic coupling, this paper analyzed the theory and flow of the methods on acoustic radiation of open structure, including IBEM (Indirect Boundary Element Method), DBEM (Direct Boundary Element Method) coupling method of interior field and exterior field, FEM and BEM coupling method, FEM and IFEM coupling method. This paper took the open structure as practical example, and applied the several methods to analyze it, and analyzed and compared the several results to get relevant conclusions.

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