Sensitivity analysis of statistical energy analysis models based on interval perturbation approach
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O R I G I NA L PA P E R
Haiyang Song · Zhaoqing Chen · Jian Zhang
Sensitivity analysis of statistical energy analysis models based on interval perturbation approach
Received: 16 January 2020 / Revised: 22 May 2020 © Springer-Verlag GmbH Austria, part of Springer Nature 2020
Abstract This paper introduces the interval perturbation method into the sensitivity analysis of statistical energy analysis (SEA) models. The damping loss factors and coupling loss factors are treated as the design parameters, while the modal energy of each subsystem is considered as the decision-making target. The variation of the design parameter is characterized by an interval form, and the ratio between different interval widths is used to represent the sensitivity of the decision-making target to the design parameter. Then the sensitivity factor matrix that can help a designer find the design parameters giving the greatest benefit in noise and vibration reduction is provided. The presented interval approach is verified through simulated studies for a two-plate coupling system and a three-plate coupling system. The work of this paper can enrich and develop the theory of the sensitivity analysis of SEA models.
1 Introduction Engineering structures often suffer serious damage from high-frequency sound and vibration, which can cause the great loss in time and financial resources. For this reason, the problem with the noise and vibration reduction has increasingly drawn attention of designers in recent years. The designers need not only to predict the sound and vibration level of the structure, but also to consider reducing the sound and vibration level to a target value. Many methods and techniques have been proposed to deal with this problem, and the sensitivity analysis is an effective and essential method. The sensitivity analysis of complicated structures has been recognized as a powerful tool in optimizing certain geometric parameters. For the low-frequency range, the finite element method (FEM) and the boundary element method (BEM) can be mentioned in the structural sensitivity analysis. Ma et al. [1,2] and Hambric [3] employed the FEM to determine the design sensitivity. Koo [4], Zhang et al. [5] and Kim et al. [6] conducted studies on the shape optimization problem by the hybrid utilization of the BEM and the sensitivity analysis. Meanwhile, the coupling FEM-BEM method was made full use of to calculate the sensitivity of the structuralacoustic system [7,8]. It should be noted that the above-mentioned studies were mainly concerned with the structural sensitivity analysis in the low-frequency range. For the high-frequency range, the SEA models are attractive for predicting noise and vibration environments because of their simplicity and solution speed compared with the deterministic models. Over the past several decades, a great many successful extensions and applications of SEA theory have H. Song (B) · Z. Chen School of Civil Engineering and Architecture, Northeast Electric Power University, Jilin 132012, China E-mail: paper2021@1
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