Mathematical Methods for Nearfield Acoustical Holography

近场声全息的数学方法

• 批准号: 9803816
• 负责人: Victor Isakov
• 金额: $ 7.08万
• 依托单位: Wichita State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-06-15 至 2001-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9803816&HistoricalAwards=false
• 关键词: Mathematical; Methods; Nearfield; Acoustical; Holography

This project seeks to find a surface source of noise in anaircraft from measurements of the acoustical pressure inside ofthe cabin. These measurements are available from experiments.The PIs will make use of integral equations of the potentialtheory for the Helmholtz equation combined with contemporarytheory of inverse problems and recent advances in numericalanalysis including rapid computations of potential type integralsand solution of linear algebraic systems of Toeplitz structure.The problem of reducing noise in (midsize) aircraft is of extremeimportance and a part of it is to find a source of the noise.This project assumes a strong interaction with aviation industry.One outcome of this work will be the delivery of a computer codeto Cessna Aircraft Company. However, the results are expected tobe of value also for car industry and for the U.S.Navy. Thegraduate students will be seriously involved into theoretical andnumerical on the project preparing for future work in industry.This GOALI project is jointly supported by the MPS Office ofMultidisciplinary Activities (OMA) and the Division ofMathematical Sciences (DMS).

该项目旨在通过测量机舱内的声压来寻找飞机内的表面噪声源。 这些测量可从实验中获得。PI将利用Helmholtz方程的势理论的积分方程，结合当代反问题理论和数值分析的最新进展，包括势型积分的快速计算和Toeplitz结构的线性代数系统的解。飞机是极其重要的，它的一部分是找到一个噪音源。2该项目假设与航空工业强有力的互动。3这项工作的成果之一将是交付一个计算机代码塞斯纳飞机公司。 然而，这些结果预计对汽车工业和美国海军也有价值。 研究生将认真参与该项目的理论和数值研究，为未来的工业工作做准备。该GOALI项目由MPS多学科活动办公室（OMA）和数学科学部（DMS）共同支持。