Analysis of coupled structural-acoustic problems based on the smoothed finite element method (S-FEM)

Li, Wei; Lei, Ming; Liu, G.R.

doi:10.1016/j.enganabound.2013.08.009

Cited by 59 publications

(18 citation statements)

References 28 publications

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“…Among these different numerical improvements, the ES-FEM and FS-FEM are still so far the two most reliable numerical tools, as they can provide much more accurate solutions compared with the other methodologies. Studies [52][53][54][55] have found that these two numerical algorithms possess the "close-to-exact" stiffness, which is much softer than the "overly-stiff" FEM and much stiffer than the "overly-soft" NS-FEM. Thus, it is expected that the coupled ES-FEM/FS-FEM model will work well for structural-acoustic problems.…”

Section: Introductionmentioning

confidence: 98%

A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells

Wang

Cui

Liang

et al. 2015

Engineering Analysis with Boundary Elements

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Section: Introductionmentioning

confidence: 98%

A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells

Wang

Cui

Liang

et al. 2015

Engineering Analysis with Boundary Elements

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“…The dispersion error increases conspicuously with the increasing wave number due to the overly-stiff property of the FEM model [29][30][31][32][33]. In order to eliminate the dispersion error effectively, a discretized model with proper stiffness is needed [29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Dispersion Error Analysis of Stable Node-Based Finite Element Method for the Helmholtz Equation

Hu¹,

Cui²,

Zhang³

et al. 2018

CICP

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Numerical dispersion error is inevitable when the finite element method is employed to simulate acoustic problems. Studies have shown that the dispersion error is essentially rooted at the "overly-stiff" property of the standard FEM model. To reduce the dispersion error effectively, a discrete model that provides a proper softening effects is needed. Thus, the stable node-based smoothed finite element method (SNS-FEM) which contains a stable item is presented. In this paper, the SNS-FEM is investigated in details with respect to the pollution effect. Different kinds of meshes are employed to analyze the relationship between the dispersion error and the parameter involved in the stable item. To ensure the SNS-FEM can be applied in the practical engineering problems effectively, the relationship is finally constructed based on the hexagonal patch for the commonly used unstructured mesh is very similar to it. By minimizing the discretization error, an optimal parameter equipped in this novel SNS-FEM is formulated. Both theoretical analysis and numerical examples demonstrate that the SNS-FEM with the optimal parameter reduces the dispersion error significantly compared with the FEM and the well performed GLS, especially for mid-and high-wave number problems. AMS subject classifications: 35J05, 65C20, 65N30, 65N22, 68U20, 81U30 Key words: Acoustic, numerical method, the stable node-based smoothed finite element method (SNS-FEM), dispersion error, hexagonal patches.

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“…To overcome these limitations, a series of cell-based smoothed FEM (CS-FEM) [20][21][22][23][24][25][26] and node-based, edge-based, or facebased smoothed FEMs [27][28][29][30][31][32] were proposed. In recent years, many CS-FEM-based formulations were proposed.…”

Section: Introductionmentioning

confidence: 99%

An Inhomogeneous Cell‐Based Smoothed Finite Element Method for Free Vibration Calculation of Functionally Graded Magnetoelectroelastic Structures

Cai

Meng

Wang

2018

Shock and Vibration

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To overcome the overstiffness and imprecise magnetoelectroelastic coupling effects of finite element method (FEM), we present an inhomogeneous cell-based smoothed FEM (ICS-FEM) of functionally graded magnetoelectroelastic (FGMEE) structures. Then the ICS-FEM formulations for free vibration calculation of FGMEE structures were deduced. In FGMEE structures, the true parameters at the Gaussian integration point were adopted directly to replace the homogenization in an element. The ICS-FEM provides a continuous system with a close-to-exact stiffness, which could be automatically and more easily generated for complicated domains, thus significantly decreasing the numerical error. To verify the accuracy and trustworthiness of ICS-FEM, we investigated several numerical examples and found that ICS-FEM simulated more accurately than the standard FEM. Also the effects of various equivalent stiffness matrices and the gradient function on the inherent frequency of FGMEE beams were studied.

show abstract

Analysis of coupled structural-acoustic problems based on the smoothed finite element method (S-FEM)

Cited by 59 publications

References 28 publications

A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells

A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells

Dispersion Error Analysis of Stable Node-Based Finite Element Method for the Helmholtz Equation

An Inhomogeneous Cell‐Based Smoothed Finite Element Method for Free Vibration Calculation of Functionally Graded Magnetoelectroelastic Structures

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