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.

中文翻译：

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基于区间微扰法的统计能量分析模型灵敏度分析

本文将区间摄动法引入到统计能量分析（SEA）模型的敏感性分析中。阻尼损耗因子和耦合损耗因子作为设计参数，各子系统的模态能量作为决策目标。设计参数的变化表现为区间形式，用不同区间宽度的比值来表示决策目标对设计参数的敏感度。然后提供了灵敏度因子矩阵，可以帮助设计人员找到在降噪和减振方面具有最大优势的设计参数。通过对两板耦合系统和三板耦合系统的模拟研究，验证了所提出的间隔方法。