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一种用于计算厚度可变的无支撑不规则形状板声功率的分析模型。

An analytical model for computing the sound power of an unbraced irregular-shaped plate of variable thickness.

作者信息

Lee Meng Koon, Hosseini Fouladi Mohammad, Narayana Namasivayam Satesh

机构信息

School of Engineering, Taylor's University, No.1 Jalan Taylor's, 47500, Subang Jaya, Selangor, Malaysia.

出版信息

Sci Rep. 2018 Oct 18;8(1):15355. doi: 10.1038/s41598-018-33645-y.

DOI:10.1038/s41598-018-33645-y
PMID:30337652
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6194024/
Abstract

An irregular-shaped plate with dimensions identical to a guitar soundboard is chosen for this study. It is well known that the classical guitar soundboard is a major contributor to acoustic radiation at high frequencies when compared to the bridge and sound hole. This paper focuses on using an analytical model to compute the sound power of an unbraced irregular-shaped plate of variable thickness up to frequencies of 5 kHz. The analytical model is an equivalent thin rectangular plate of variable thickness. Sound power of an irregular-shaped plate of variable thickness and with dimensions of an unbraced Torres' soundboard is determined from computer analysis using ANSYS. The number of acoustic elements used in ANSYS for accurate simulation is six elements per wavelength. Here we show that the analytical model can be used to compute sound power of an unbraced irregular-shaped plate of variable thickness.

摘要

本研究选用一块尺寸与吉他音板相同的不规则形状板材。众所周知,与琴桥和音孔相比,古典吉他音板是高频声辐射的主要贡献者。本文重点在于使用一个解析模型来计算厚度可变的无支撑不规则形状板材在高达5kHz频率时的声功率。该解析模型是一个厚度可变的等效薄矩形板。通过使用ANSYS进行计算机分析,确定了一块厚度可变且尺寸与无支撑托雷斯音板相同的不规则形状板材的声功率。在ANSYS中用于精确模拟的声学单元数量是每波长六个单元。在此我们表明,该解析模型可用于计算厚度可变的无支撑不规则形状板材的声功率。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/aa4115447847/41598_2018_33645_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/bfd58980d678/41598_2018_33645_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/24f67a7acce9/41598_2018_33645_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/30e94a98feba/41598_2018_33645_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/08bd54d5ab13/41598_2018_33645_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/b8c33654cd81/41598_2018_33645_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/aa4115447847/41598_2018_33645_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/bfd58980d678/41598_2018_33645_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/24f67a7acce9/41598_2018_33645_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/30e94a98feba/41598_2018_33645_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/08bd54d5ab13/41598_2018_33645_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/b8c33654cd81/41598_2018_33645_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9aee/6194024/aa4115447847/41598_2018_33645_Fig6_HTML.jpg

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本文引用的文献

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Four mass coupled oscillator guitar model.四质量耦合振荡器吉他模型。
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Radiation characteristics of multiple and single sound hole vihuelas and a classical guitar.多种和单音孔维忽拉琴与古典吉他的发声特性。
J Acoust Soc Am. 2012 Jan;131(1):819-28. doi: 10.1121/1.3651096.
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J Acoust Soc Am. 2004 Aug;116(2):918-33. doi: 10.1121/1.1763601.