Generalized Mass-Redistributed Smoothed Finite Element Method (MR-SFEM) for Acoustic and Acoustic-Structural Interaction Problems

2019 ◽  
Vol 16 (04) ◽  
pp. 1850098 ◽  
Author(s):  
Y. D. Hao ◽  
G. Y. Li ◽  
X. Nie ◽  
Z. H. Hu ◽  
W. Yao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mass Matrix ◽  
System Matrix ◽  
Acoustic Structure ◽  
Structural Interaction ◽  
Structure Interaction ◽  
Structural Problems ◽  
Acoustic Domain ◽  
Element Method

The standard finite element method (FEM) is known for its “over-stiff” behavior, which leads to the pollution error in acoustic and acoustic-structural problems. In this paper, a generalized mass-redistributed smoothed FEM (MR-SFEM) is proposed to analyze the acoustic and acoustic-structure interaction problems. In the new MR-SFEM, the generalized mass matrix reconstitution technology is used for both the structural and acoustic discretized system based on the SFEM, which can provide a perfect balance of the discretized system matrix both in the structure and acoustic domain. The global equations of acoustic-structural interaction problems are established by coupling the MR-SFEM for the structure and for the acoustic domain. Some numerical examples of acoustic and acoustic-structure interaction problems have been used to assess the present formulation, and the results show that the present method has much better performance in terms of accuracy, convergence, and efficiency than those obtained using the standard FEM, edge-based FEM (ES-FEM), and face-based FEM (FS-FEM).

scholarly journals Low-Frequency Acoustic-Structure Analysis Using Coupled FEM-BEM Method

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Jinlong Feng ◽  
Xiaoping Zheng ◽  
Haitao Wang ◽  
HongTao Wang ◽  
Yuanjie Zou ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
High Efficiency ◽  
Low Frequency ◽  
Structural Domain ◽  
Coupled Problems ◽  
Equilibrium Conditions ◽  
Acoustic Structure ◽  
Acoustic Domain ◽  
Element Method

A numerical algorithm based on finite element method (FEM) and boundary element method (BEM) is proposed for the analyses of acoustic-structure coupled problems. By this algorithm, the structural domain and the acoustic domain are modelled by FEM and BEM, respectively, which are coupled with each other through the consideration of the appropriate compatibility and equilibrium conditions on the interface of the two domains. To improve the computational efficiency, the adaptive cross approximation (ACA) approach is incorporated into the proposed algorithm to deal with the nonsymmetric and fully populated matrices resulting from the coupling of the FEM and BEM. The validity and the high efficiency of the present approach are demonstrated by two examples.

scholarly journals Dynamic Analysis of Partially Embedded Structures Considering Soil-Structure Interaction in Time Domain

2011 ◽  
Vol 2011 ◽  
pp. 1-23 ◽  
Author(s):  
Sanaz Mahmoudpour ◽  
Reza Attarnejad ◽  
Cambyse Behnia
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Response ◽  
Time Domain ◽  
Soil Structure ◽  
Soil Structure Interaction ◽  
Structure System ◽  
Structure Interaction ◽  
Scaled Boundary Finite Element ◽  
Element Method

Analysis and design of structures subjected to arbitrary dynamic loadings especially earthquakes have been studied during past decades. In practice, the effects of soil-structure interaction on the dynamic response of structures are usually neglected. In this study, the effect of soil-structure interaction on the dynamic response of structures has been examined. The substructure method using dynamic stiffness of soil is used to analyze soil-structure system. A coupled model based on finite element method and scaled boundary finite element method is applied. Finite element method is used to analyze the structure, and scaled boundary finite element method is applied in the analysis of unbounded soil region. Due to analytical solution in the radial direction, the radiation condition is satisfied exactly. The material behavior of soil and structure is assumed to be linear. The soil region is considered as a homogeneous half-space. The analysis is performed in time domain. A computer program is prepared to analyze the soil-structure system. Comparing the results with those in literature shows the exactness and competency of the proposed method.

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