统计能量分析参数灵敏度的区间分析法

Sensitivity Analysis of Statistical Energy Analysis Parameters Based on an Interval Method

统计能量分析是目前舰船、运载火箭、汽车和核反应堆等领域解决高频段振动及噪声问题的有效方法之一。基于非保守耦合统计能量分析的功率流平衡方程,将子系统的内损耗因子、耦合损耗因子和由耦合阻尼引入的内损耗因子增量作为设计参数,而将子系统的模态能量作为决策目标,提出了一种基于区间技术的参数灵敏度分析方法。通过给出的灵敏度因子矩阵的每一行来显示不同的设计参数对同一个决策目标的敏感性大小,而通过给出的灵敏度因子矩阵的每一列来显示同一个设计参数对不同决策目标的敏感性大小。研究内容是对统计能量分析理论以及参数灵敏度分析理论的进一步研究和补充。

Statistical energy analysis is an effective method to deal with the high-frequency sound and vibration problem in many fields such as shipping,rocket,automobile and nuclear reactor.Based on the power balance equations of the non-conservative statistical energy analysis model,the damping loss factors and coupling loss factors and the increment of the damping loss factors resulted from the coupling damping are treated as the design parameters,while the modal energy of each subsystem is considered as the decision-making target.The sensitivity analysis method based on the interval technique is proposed.The level of the sensitivity of different parameters to the same decision-making target can be shown by the each row of the sensitivity factor matrix,and the level of the sensitivity of the same parameters to the different decision-making targets can be shown by the each column of the sensitivity factor matrix.The content of this paper can enrich the theory of the statistical energy analysis and the sensitivity analysis.