Sensitivity analysis of statistical energy analysis models based on interval perturbation approach

Song, Hang; Chen, Zhaoqing; Jian, Zhang

doi:10.1007/s00707-020-02744-1

Cited by 4 publications

(2 citation statements)

References 21 publications

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“…[12][13][14][15][16] Moreover, several studies have addressed the effect of uncertainties on the SEA parameters and the subsystems division on the prediction results for preparation of a reliable SEA model. [17][18][19][20] Very recently, Liu et al 21 utilized a simplified vehicle air cavity SEA model to study the influence of an interior trim material on the cabin interior sound pressure level. The authors showed that for mid-and high-frequency range, the sound pressure level acquired from the SEA model agrees well with experimental measurement.…”

Section: Introductionmentioning

confidence: 99%

A practical procedure for vehicle sound package design using statistical energy analysis

Salmani

Khalkhali

Mohsenifar

2022

Proceedings of the Institution of Mechanical Engineers, Part D:

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Vehicle sound package has a substantial role in attenuation of vehicle noise for the purpose of improving interior comfort and reducing environmental noise pollution. In this paper, two approaches of absorptive design and multi-layer design are investigated to improve the performance of a sound package in automotive applications. For this purpose, the sound package of the engine compartment including hoodliner and dash insulator is studied. Furthermore, this paper proposes an experimentally validated prediction model through Statistical Energy Analysis (SEA) to evaluate the sound insulation of a vehicle body sound package. For this purpose, the research includes characterization techniques of sound package materials to determine intrinsic parameters of different layers required to develop a reliable SEA model. The inverse method and time-temperature superposition principle (TTSP) are utilized to characterize porous materials and heavy layer properties, respectively. The comparison of results that are experimentally obtained by acoustic cabin shows a fairly well agreement with the proposed SEA modeling procedure for the desired frequency range. By observing the results of the simulation for the hoodliner and dash insulator, it was revealed that the absorptive design combines the benefits of high sound absorption capability, wide absorption frequency band, and lightweight. Indeed, with an appropriate combination of layers, the multi-layer design can simultaneously provide a mixture of absorptive design attributes and sound insulation capabilities. The transmission loss obtained from the proposed design of the dash insulator revealed an increase by 42% without any reduction in the amount of sound absorption. Also, the sound absorption of the proposed hoodliner is enhanced more than twice in reference to the base design.

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Section: Introductionmentioning

confidence: 99%

A practical procedure for vehicle sound package design using statistical energy analysis

Salmani

Khalkhali

Mohsenifar

2022

Proceedings of the Institution of Mechanical Engineers, Part D:

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“…us, statistical energy analysis (SEA) was proposed by Lyon et al [1][2][3]. SEA, providing averaged energy for subsystems, reduces the scale of computation dramatically and has been widely studied and applied in various fields [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Energy Flow Analysis of One-Dimensional Structures with Random Properties

Wang

Fu²,

Liu³

et al. 2020

Shock and Vibration

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In this work, the energy density responses of one-dimensional structures with random properties are investigated analytically. Based on Green kernels, analytical representations of energy density for vibrating rods and beams are proposed using the superposition of energy waves. Considering random properties in rods and beams, formulations of energy density responses are obtained. Then, the mathematical expectations and variances are derived. And response intervals for random responses are developed. Finally, numerical simulations are performed to validate the proposed formulations, and characteristics of the random energy density responses of rods and beams are analysed. The main contribution of this work is that a new approach to energy density responses is proposed which facilitates the vibration analysis of structures with uncertainty parameters.

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Comprehensive sensitivity analysis of repeated eigenvalues and eigenvectors for structures with viscoelastic elements

Łasecka-Plura

2024

Acta Mech

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The paper discusses systems with viscoelastic elements that exhibit repeated eigenvalues in the eigenvalue problem. The mechanical behavior of viscoelastic elements can be described using classical rheological models as well as models that involve fractional derivatives. Formulas have been derived to calculate first- and second-order sensitivities of repeated eigenvalues and their corresponding eigenvectors. A specific case was also examined, where the first derivatives of eigenvalues are repeated. Calculating derivatives of eigenvectors associated with repeated eigenvalues is complex because they are not unique. To compute their derivatives, it is necessary to identify appropriate adjacent eigenvectors to ensure stable control of eigenvector changes. The derivatives of eigenvectors are obtained by dividing them into particular and homogeneous solutions. Additionally, in the paper, a special factor in the coefficient matrix has been introduced to reduce its condition number. The provided examples validate the correctness of the derived formulas and offer a more detailed analysis of structural behavior for structures with viscoelastic elements when altering a single design parameter or simultaneously changing multiple parameters.

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Sensitivity analysis of statistical energy analysis models based on interval perturbation approach

Cited by 4 publications

References 21 publications

A practical procedure for vehicle sound package design using statistical energy analysis

A practical procedure for vehicle sound package design using statistical energy analysis

Energy Flow Analysis of One-Dimensional Structures with Random Properties

Comprehensive sensitivity analysis of repeated eigenvalues and eigenvectors for structures with viscoelastic elements

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