浅海声场对不确定环境参数的灵敏度分析方法

doi:10.3969/j.issn.1000-1093.2014.04.020

兵工学报 ›› 2014, Vol. 35 ›› Issue (4): 567-571.doi: 10.3969/j.issn.1000-1093.2014.04.020

浅海声场对不确定环境参数的灵敏度分析方法

程广利，胡金华，张明敏

（海军工程大学水声工程系，湖北武汉 430033）

收稿日期:2013-04-22 修回日期:2013-04-22 上线日期:2014-05-26
作者简介:程广利(1976—)，男，副教授，硕士生导师，博士研究生

Analytical Methods for Sensitivity of Acoustic Field in Shallow Water to Uncertain Environmental Parameters

CHENG Guang-li， HU Jin-hua， ZHANG Ming-min

(Department of Underwater Acoustic Engineering, Naval University of Engineering, Wuhan 430033，Hubei, China)

Received:2013-04-22 Revised:2013-04-22 Online:2014-05-26

摘要/Abstract

摘要： 为分析不确定环境参数对浅海声场的影响，用非嵌入式随机多项式展开法获得声场与不确定环境参数之间函数关系式，建立声场对单个不确定参数的局部灵敏度分析方法；当多参数不确定时，提出依据某参数变化前后声场概率密度的变化，定性表征声场对该不确定参数的全局灵敏度分析方法，引入Sobol指数法定量计算声场对不确定环境参数的全局灵敏度。算例结果表明文中提出的分析方法可快速获得浅海声场对不确定参数的灵敏度，可用于优化不确定浅海环境参数模型。

关键词: 声学, 不确定水声场, 局部灵敏度分析, 全局灵敏度分析, 非嵌入式随机多项式展开法, Sobol指数法

Abstract: For the purpose of analyzing the effect of uncertain environmental parameters on acoustic field in shallow water, the functional relations between acoustic field and uncertain environmental parameters are constructed by nonintrusive polynomial chaos expansion (NPCE) method, and an analytical method for the local sensitivity of acoustic field to single uncertain parameter is proposed. A method for analyzing the qualitative sensitivity is presented according to the variation of probability distribution of acoustic field before and after the variation of certain uncertain parameter when more parameters are uncertain, and then the global sensitivity is quantitatively calculated by introducing the Sobol index method. The results show that the proposed methods can be used to obtain the sensitivity of acoustic field in shallow water to certain parameters quickly, which can be use to optimize the model of uncertain environmental parameters.

Key words: acoustics, uncertain acoustic field, local sensitivity analysis, global sensitivity analysis, nonintrusive polynomial chaos expansions method, Sobol index method

中图分类号:

TB391

程广利，胡金华，张明敏. 浅海声场对不确定环境参数的灵敏度分析方法[J]. 兵工学报, 2014, 35(4): 567-571.

CHENG Guang-li， HU Jin-hua， ZHANG Ming-min. Analytical Methods for Sensitivity of Acoustic Field in Shallow Water to Uncertain Environmental Parameters[J]. Acta Armamentarii, 2014, 35(4): 567-571.

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浅海声场对不确定环境参数的灵敏度分析方法

Analytical Methods for Sensitivity of Acoustic Field in Shallow Water to Uncertain Environmental Parameters

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