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研究生:黃萱恩
研究生(外文):Shiuan-En Huang
論文名稱:直通型暨迴轉型消音系統之三維聲場分析與最佳化
論文名稱(外文):Three-Dimensional Acoustic Analysis and Design Optimization of Straight and Reversing Muffler Systems
指導教授:張英俊張英俊引用關係
指導教授(外文):Ying-Chun Chang
口試委員:張英俊
口試委員(外文):Ying-Chun Chang
口試日期:2015-07-17
學位類別:碩士
校院名稱:大同大學
系所名稱:機械工程學系(所)
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2015
畢業學年度:103
語文別:中文
論文頁數:89
中文關鍵詞:迴轉型消音箱三維聲場最佳化設計聲學傳輸損失平面波
外文關鍵詞:reversing mufflerplane waveoptimizationthree-dimensional acoustictransmission loss
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依據平面波理論,聲波於低頻時,在消音箱中以平面波的方式傳遞,而高頻聲波則受高階模態的影響,故實際實驗之實驗值與以平面波理論分析之理論值會有明顯的差異。目前已有許多文獻討論到三維聲場在消音箱內的聲學傳輸損失,其中探討多腔連結之文獻相對較少,迴轉型消音箱亦是如此。因此本文將探討在三維聲場下單腔、多腔迴轉型消音系統之聲學傳輸損失,並針對腔體與進出口尺寸及中縮型消音箱在有限空間內做最佳化。
本文採用特徵函數展開法,推導出四埠傳輸矩陣,以計算三維聲場在消音箱傳播之聲學性能。將各類型消音箱之消音性能與文獻比對後,確認其結果與文獻無誤後,結合遺傳演算法,針對特定頻率對不同腔室與進出口尺寸及中縮型消音箱尺寸最佳化,提高其消音性能,達到需求。
According to plane wave theory, the sound will propagate in mufflers only in a plane wave type at low frequencies; however, for a high frequency, the higher-order mode effect occurred will result in a difference between the measurement and the theory. Currently, the acoustical analysis of three-dimensional propagating inside a one-chamber muffler has been widely discussed; however, the research work of a multi-chamber hybridized with baffles and reversing muffler is few. Therefore, the acoustical performances of reversing chamber mufflers hybridized with multiple baffles in a three-dimensional acoustic mode will be explored in this paper. In addition, the shape optimization of the space-constrained one-chamber hybridized with various baffles will be fulfilled by adjusting the chamber and inlet/outlet tube size.
In this paper, eigen function expansion method will be used to derive the four-port transfer matrix to calculate the acoustic performance of three-dimensional wave propagation in mufflers. Subsequently, analyzing the performance for various mufflers and comparing the theoretical data with the literature yield that the mathematical model of the mufflers is correct. In order to maximize the acoustical performance, the shape optimization of mufflers in conjunction with the genetic algorithm is performed.
致謝I
中文摘要II
ABSTRACTIII
符號說明IV
第一章 緒論1
1.1前言1
1.2 文獻回顧2
1.3 研究動機3
第二章 理論分析4
2.1 矩形消音器4
2.2 圓柱型消音器11
第三章 遺傳演算法17
3.1 遺傳演算法參數17
3.2 遺傳演算法流程22
第四章消音箱性能驗證23
4.1單腔圓形截面消音箱23
第五章消音箱之消音性能27
5.1直通型圓形消音箱27
5.1.1 雙腔(直通-直通)消音箱腔體長度大小對消音性能的影響28
5.1.2 三腔(直通-直通-直通)消音箱腔體長度大小對消音性能的影響31
5.1.3中縮型消音箱之性能分析35
5.1.3.1中縮型消音箱出入口大小對消音性能的影響37
5.1.3.2中縮型消音箱第二腔腔室半徑大小對消音性能的影響39
5.1.3.3中縮型消音箱第二腔腔室長度對消音性能的影響41
5.2迴轉型圓形消音箱43
5.2.1單腔迴轉型消音箱進出口大小對消音性能的影響44
5.2.2單腔迴轉型消音箱進出口位置對消音性能的影響46
5.2.3單腔迴轉型消音箱增加腔體數目對消音性能的影響49
第六章 最佳化設計54
6.1三腔中縮直通型消音箱最佳化55
6.2單腔迴轉型消音箱最佳化62
6.3三腔迴轉型(直通-迴轉-直通)消音箱最佳化66
第七章 結論71
文獻參考73
[1] D. D. Davis, J. M. Stokes, D. Moore and L. Steven, “Theoretical and experimental investigation of mufflers with comments on engine exhaust muffler design”, NACA Report 1192, 1954.

[2] J. Igarashi and M. Toyama, “Fundamentals of acoustical silencers, part 1: Theory and experiment of acoustic low-pass filters”, Aeronaut Res. Inst. University of Tokyo, Report No.339, pp.223-241, 1958.

[3] T. Miwa and J. Igarashi, “Fundamentals of acoustical silencers, part 2: Determination of four terminal constants of acoustical element”, Aeronaut Res. Inst. University of Tokyo, Report No.344, pp.67-85, 1959.

[4] J. Igarashi and M. Arai, “Fundamentals of acoustical silencers, part 3: Attenuation characteristic studies by electric simulator”, Aeronaut Res. Inst. University of Tokyo, Report No.351, pp.17-31, 1960

[5] M. L. Munjal, “Velocity Ratio-cum-transfer matrix method for the evaluation of a muffler with mean flow”, J. Acoust. Soc. Am., 39, pp.105-119, 1957.

[6] J. W. Sullivan and Malcolm J. Crocker, “Analysis of concentric-tube resonators having unpartitioned of cavities a)”, J. Acoust. Soc. Am., 64(1), pp.207-215, July, 1978

[7] J. W. Sullivan, “A method for modeling perforated tube muffler components. I. Theory a)”, J. Acoust. Soc. Am., 66(3), pp.772-778, Sept., 1979.

[8] K. Jayaraman and K. Yam, “Decoupling approach to modeling perforated tube muffler components”, J. Acoust. Soc. Am., 69(2), pp.390-396, Feb., 1981.

[9] J. W. Strut(Lord Rayleigh), 1945 The Theory of Sound. New York: Dover, second edition.


[10] H. E. Hartig and C. E. Swanson, “Transverse” acoustic waves in rigid tubes, 1938 Physical Review 54, 618-626.

[11] J. Miles, “The reflection of sound due to a change in cross section of a circular tube” , 1944 Journal of the Acoustical Society of America 16, 14-19.

[12] J. G. Ih and B. H. Lee, “Analysis of higher-order mode effects in the circular expansion chamber with mean flow“, 1985 Journal of the Acoustical Society of America 77, 1377-I 388.

[13] J. G. Ih and B. H. Lee, “ Theoretical prediction of the transmission loss of circular reversing chamber mufflers“, 1987 Journal of Sound and Vibration 112,261-272.

[14] M. Abom, “Derivation of four-pole parameters including higher order mode effects for expansion chamber mufflers with extended inlet and outlet“, 1990 Journal of Sound and Vibration 137,403-418.

[15] M. L. Munjal, “A simple numerical method for three-dimensional analysis of simple expansion chamber mufflers of rectangular as well as circular cross-section with a stationary medium“, 1987 Journal of Sound and Vibration 116, 71-88.

[16] C. I. Young and M. J. Crocker, “Prediction of transmission loss in mufflers by the finite-element method“, 1975 Journal of the Acoustical Society of America 57, 144-148.

[17] A. F. Seybert and C. Y. R. Cheng, “Application of the boundary element method to acoustic cavity response and muffler analysis“, 1987 Transactions of the American Society of Mechanical Engineers, Journal of Vibration, Stress, and Reliability in Design 109, 15-21.

[18] J. G. Ih, “The Reactive Attenuation of Rectangular Plenum Chambers“, 1992 Journal of Sound and Vibration 157, 93-122.

[19] Y. C. Chang, L. J. Yeh and M. C. Chiu, “GA optimization on constrained venting system with single-chamber mufflers”, Journal of the Acoustical Society of R.O.C., Vol.10, pp.01-13, 2004.

[20] Y. C. Chang, L. J. Yeh and M. C. Chiu, “Optimization of absorbers and mufflers on constrained multi-noises system by using genetic algorithm”, The Far East Journal of Applied Mathematics, Vol.14, No.3, pp.261-299, 2004.
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