Experimental Verification of Structural-Acoustic Modelling and Design Optimization

Marburg, Steffen; Beer, H.-J.; Gier, J.; Hardtke, H.‐J.; Rennert, Roland; Perret, F.

doi:10.1006/jsvi.2001.4037

Cited by 38 publications

(12 citation statements)

References 26 publications

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“…For the procedure, the interfacing boundaries should be exactly or at least approximately defined with parametric curves such as splines, which, for optimization, can be controlled by design variables [8,29]. Thus, shape optimization has become a natural choice with this analysis procedure [10,12,17,18,19,20,21,25,26,30]. However, in topology optimization the design variables are normally the local material densities.…”

Section: Analysis Methods To Couple Acoustics and Structurementioning

confidence: 99%

Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation

Yoon

Jensen

Sigmund

2006

Numerical Meth Engineering

177

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SUMMARYThe paper presents a gradient based topology optimization formulation that allows to solve acousticstructure (vibro-acoustic) interaction problems without explicit boundary interface representation. In acoustic-structure interaction problems, the pressure and displacement fields are governed by Helmholtz equation and the elasticity equation, respectively. Normally, the two separate fields are coupled by surface-coupling integrals, however, such a formulation does not allow for free material redistribution in connection with topology optimization schemes since the boundaries are not explicitly given during the optimization process. In this paper we circumvent the explicit boundary representation by using a mixed finite element formulation with displacements and pressure as primary variables (a u/p-formulation). The Helmholtz equation is obtained as a special case of the mixed formulation for the elastic shear modulus equating zero. Hence, by spatial variation of the mass density, shear and bulk moduli we are able to solve the coupled problem by the mixed formulation. Using this modeling approach, the topology optimization procedure is simply implemented as a standard density approach.Several two-dimensional acoustic-structure problems are optimized in order to verify the proposed method.

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Section: Analysis Methods To Couple Acoustics and Structurementioning

confidence: 99%

Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation

Yoon

Jensen

Sigmund

2006

Numerical Meth Engineering

177

View full text Add to dashboard Cite

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“…Within this platform, analytical, numerical and experimental techniques are considered. Marburg et al 9 have verified numerical solutions with experimentally measured data in the field of structural-acoustic modeling in order to gain knowledge about the certain degree of accuracy despite the amount of computational effort. Cifuentes and Kalbag 10 have compared linear and quadratic tetrahedral and hexahedral elements in various structural problems and observed equivalent results in terms of both accuracy and computational time.…”

Section: Introductionmentioning

confidence: 99%

More Than Six Elements Per Wavelength: The Practical Use of Structural Finite Element Models and Their Accuracy in Comparison with Experimental Results

et al. 2017

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Choosing the right number and type of elements in modern commercial finite element tools is a challenging task. It requires a broad knowledge about the theory behind or much experience by the user. Benchmark tests are a common method to prove the element performance against analytical solutions. However, these tests often analyze the performance only for single elements. When investigating the complete mesh of an arbitrary structure, the comparison of the element’s performance is quite challenging due to the lack of closed or fully converged solutions. The purpose of this paper is to show a high-precision comparison of eigenfrequencies of a real structure between experimental and numerical results in the context of an element performance check with respect to a converged solution. Additionally, the authors identify the practically relevant accuracy of simulation and experiment. Finally, the influence of accuracy with respect to the number of elements per standing structural bending wave is shown.

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“…The sound pressure at certain positions inside the compartment can be calculated by a scalar multiplication of a column matrix of influence coefficients b T (v) and that of the nodal particle velocities v n (v). Referring to [5], the frequency response function (FRF) of pressure p i (v) inside the cavity can be written as…”

Section: Acoustic Response Analysismentioning

confidence: 99%

Acoustic analysis of lightweight auto-body based on finite element method and boundary element method

Zhu

Liu

Lin

et al. 2007

Front. Mech. Eng. China

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A lightweight automotive prototype using alternative materials and gauge thickness is studied by a numerical method. The noise, vibration, and harshness (NVH) performance is the main target of this study. In the range of 1-150 Hz, the frequency response function (FRF) of the body structure is calculated by a finite element method (FEM) to get the dynamic behavior of the auto-body structure. The pressure response of the interior acoustic domain is solved by a boundary element method (BEM). To find the most contributing panel to the inner sound pressure, the panel acoustic contribution analysis (PACA) is performed. Finally, the most contributing panel is located and the resulting structural optimization is found to be more efficient.

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Experimental Verification of Structural-Acoustic Modelling and Design Optimization

Cited by 38 publications

References 26 publications

Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation

Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation

More Than Six Elements Per Wavelength: The Practical Use of Structural Finite Element Models and Their Accuracy in Comparison with Experimental Results

Acoustic analysis of lightweight auto-body based on finite element method and boundary element method

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