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论文:2014,Vol:32,Issue(4):597-605 |
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引用本文： |
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王海涛, 曾向阳, 刘延善. 利用小样品获取大尺度周期结构声散射系数的可行性分析[J]. 西北工业大学 |
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Wang Haitao, Zeng Xiangyang, Liu Yanshan. Representation of the Scattering Coefficient of a Large Scale Periodic Structure by a Small Sample[J]. Northwestern polytechnical university |
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| 利用小样品获取大尺度周期结构声散射系数的可行性分析 |
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| 王海涛, 曾向阳, 刘延善 |
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| 西北工业大学 航海学院, 陕西 西安 710072 |
| 摘要: |
| 对不同尺度周期结构的散射性质之间关系进行了详细研究,首次给出了数值计算或工程应用中利用小尺度样品获取大尺度周期结构散射系数的准则。首先对不同尺度周期结构散射系数之间的关系进行了理论分析,证明了利用小样品的散射系数来等效大尺度试件散射系数的可行性;然后推导了计算散射系数的边界无网格数值计算模型BMM,并对不同形式的小样品进行了散射系数计算,结果表明,当小尺度样品的周期数与大尺度试件相同,且总面积至少为其1/2时,其散射系数可以作为大尺度试件的散射系数。这种等效不仅可以大大提高散射系数的计算效率,同时对工程应用中散射系数的快速估计或实验测量方法的改进都具有重要的意义。 |
| 关键词:
周期结构
散射系数
小样品
数值计算
大尺度周期结构
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| Representation of the Scattering Coefficient of a Large Scale Periodic Structure by a Small Sample |
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| Wang Haitao, Zeng Xiangyang, Liu Yanshan |
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| College of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| In this paper, the relations of the scattering coefficients of the periodic structures with different dimen-sions are analyzed in detail. A criterion for representing the scattering coefficients of a large scale periodic structure by a small sample is given for the first time. At first, a theoretical analysis proves that the representation is feasible. Then, a Boundary Meshless Model (BMM) for calculating the scattering coefficient is derived. The scattering coef-ficients of small periodic structures representing different local parts of large scale one are calculated using BMM. The results and their analysis show preliminarily that only the small periodic structure which has the same number of periods as and at least the half dimension of the large one is representative. Applying this conclusion, we believe, can not only hugely improve the computational efficiency but also can make possible the fast estimation in engineer-ing and improvement of the measurement of scattering coefficient. |
| Key words:
calculations
computational efficiency
errors
Helmholtz equation
matrix algebra
measurements
numerical methods
periodic structures
program processors
scattering
schematic diagrams
scattering coefficient
small scale sample
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| 收稿日期: 2013-10-29
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金(11374241);中国航空科学基金(20121553017)资助 |
| 通讯作者:
Email： |
| 作者简介: 王海涛(1986-),西北工业大学博士研究生,主要从事声场分析的研究。
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