Methodology for the Design of the Geometry of a Cavity and Its Absorption Coefficients as Random Design Variables Under Vibroacoustic Criteria

Troian, Renata; Shimoyama, Koji; Gillot, F; Besset, Sébastien

doi:10.1142/s0218396x16500065

Cited by 4 publications

(2 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As our industrial partners quantify the robustness of a solution by the local variance of the output (see e.g. [6] and [11]), the second objective is V ar[f (x + H)].…”

Section: Introductionmentioning

confidence: 99%

Robust optimization: A kriging-based multi-objective optimization approach

Ribaud

Blanchet-Scalliet

Helbert

et al. 2020

Reliability Engineering & System Safety

Self Cite

View full text Add to dashboard Cite

In the robust shape optimization context, the evaluation cost of numerical models is reduced by the use of a response surface. Multi-objective methodologies for robust optimization that consist in simultaneously minimizing the expectation and variance of a function have already been developed to answer to this question. However, ecient estimation in the framework of time-consuming simulation has not been completely explored. In this paper, a robust optimization procedure based on Taylor expansion, kriging prediction and a genetic NSGA-II algorithm is proposed. The two objectives are the Taylor expansion of expectation and variance. The kriging technique is chosen to surrogate the function and its derivatives. Afterwards, NSGA-II is performed on kriging response surfaces or kriging expected improvements to construct a Pareto front. One point or a batch of points is chosen carefully to enrich the learning set of the model. When the budget is reached the non-dominated points provide designs that make compromises between optimization and robustness. Seven relevant strategies based on this main procedure are detailed and compared in two test functions (2D and 6D). In each case, the results are compared when the derivatives are observed and when they are not. The procedure is also applied to an industrial case study where the objective is to optimize the shape of a motor fan.

show abstract

“…As our industrial partners quantify the robustness of a solution by the local variance of the output (see e.g. [6] and [11]), the second objective is V ar[f (x + H)].…”

Section: Introductionmentioning

confidence: 99%

Robust optimization: A kriging-based multi-objective optimization approach

Ribaud

Blanchet-Scalliet

Helbert

et al. 2020

Reliability Engineering & System Safety

Self Cite

View full text Add to dashboard Cite

show abstract

“…Some problems related to the acoustic radiation by cavities have been solved and discussed. The optimization of cavity shape taking into account its acoustic properties has been presented (Troian et al, 2016). The acoustic resonance frequencies of the 2D and 3D open cavity have been determinated (González et al, 2013;Ortiz et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Archives of Acoustics

Szemela

2018

View full text Add to dashboard Cite

The rigorous solution describing the sound radiation by an arbitrary surface source located at the bottom of a cylindrical open cavity embedded in a flat baffle has been obtained. The open cavities of different shapes can be found in some architectural structures as well as are components of sensors, musical instruments and vehicles. The presented formulas have been expressed in the form of infinite sums. To use them, the infinite sums have to be truncated to the finite number of terms. Therefore, in practice, the results obtain based on the proposed solution are not exact and their accuracy is determined by the truncation error. The use of presented formulas is an alternative method for the finite element method (FEM). However, taking into account that the calculation efficiency of FEM rapidly decrease when a volume of considered region increases, the obtained in this study solution can be more useful in some practical cases.The approximated formula of a high computational efficiency has been presented for the sound pressure in the far field. The sound radiation has been analyzed for a rectangular piston as a sound source. The influence of cavity depth ratio on the radiation efficiency has been investigated. The cases for which the cavity radiation efficiency can be approximately calculated from the formula valid for a baffled sound source have been determined.

show abstract