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弯曲振动阶梯圆盘辐射阻抗的计算方法

贺西平

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弯曲振动阶梯圆盘辐射阻抗的计算方法

贺西平

Calculation method of the radiation impedance of stepped circular plate

He Xi-Ping
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  • 辐射阻抗是描述声学振动系统声转换效率的一个重要物理量.具有强功率的阶梯圆盘辐射器在流体介质,尤其是在空气中有着重要的应用.但对阶梯圆盘的辐射阻抗而言,运用传统理论计算时,由于辐射面不在同一几何面,积分上下限很难选取而无法计算.本文从辐射声功率角度,基于叠加原理,提出了利用叠加法计算阶梯盘的辐射阻抗.作为算例,文中计算了带有一个阶梯的阶梯盘的辐射阻抗.
    Radiation impedance is an important parameter for evaluation of acoustic conversion efficiency of a sound and vibration system. The high power flexural vibration circular plate with stepped thickness has impartant applications in fluid, especially in air due to its large radiation area. The classical theory has difficulty in calculating the radiation impedance of the stepped circular plate due to the fact that the radiation surface is not coplanar, so the domain of integration is difficult to choose. From the point of view of radiation acoustic power, and based on superposition principle, a method is proposed to calculate the radiation impedance of a stepped circular plate in this work. As an example, calculation of the radiation impedance of a circular plate with one step is given.
    • 基金项目: 国家自然科学基金(批准号:10874107)和陕西省自然科学基金(批准号:2007A07)资助的课题.
    [1]

    [1]Morse P M, Ingard K U 1968 Theoretical Acoustics (New York: McGraw-Hill) p315.

    [2]

    [2]Zhang H L 2007 Theoretical acoustics (Beijing: Higher Education Press) p231 (in Chinese) [张海澜 2007 理论声学 (北京: 高等教育出版社) 第231页]

    [3]

    [3]Vojnovic M 2005 Applied Acoustics 66 481

    [4]

    [4]Van Buren A L 1971 J. Acoust. Soc. Am 51 705

    [5]

    [5]Dalmont J P 2001 J. Sound. Vib. 244 505

    [6]

    [6]Shao W, Kmechefske C 2005 J. Sound. Vib. 286 363

    [7]

    [7]Robey D H 1955 J. Acoust. Soc. 27 706

    [8]

    [8]Wang Z H, Hu Y M, Meng Zh, Ni M 2008 Acta Phys. Sin. 57 7022 [王泽锋、 胡永明、 孟洲、 倪明 2008 物理学报 27 706]

    [9]

    [9]Arase E M 1964 J. Acoust. Soc. Am. 36 1521

    [10]

    ]Burneet D S, Soroka W W 1972 J. Acoust. Soc. Am. 51 1618

    [11]

    ]Lee J, Seo I 1996 J. Sound. Vib. 198 299

    [12]

    ]Gallego-Juárez J A, Rodriguez-corral G, Gaete-Garreton.L 1978 Ultrasonics 11 267

    [13]

    ]Gallego-Juárez J A, Rodriguez-Corral 2000 Ultrasonics 38 331

    [14]

    ]Gallego-Juárez J A 2002 Ultrasonics 40 889

    [15]

    ]Porter D R 1964 J.Acoust. Soc. Am. 36 1154

    [16]

    ]He Z y, Zhao Y F 1981 Theoretical basis ofr acoustics (Beijing: National Defense Industry Press) p266 (in Chinese)[何祚镛、 赵玉芳编 1981 声学理论基础 (北京: 国防工业出版社), 第266页]

  • [1]

    [1]Morse P M, Ingard K U 1968 Theoretical Acoustics (New York: McGraw-Hill) p315.

    [2]

    [2]Zhang H L 2007 Theoretical acoustics (Beijing: Higher Education Press) p231 (in Chinese) [张海澜 2007 理论声学 (北京: 高等教育出版社) 第231页]

    [3]

    [3]Vojnovic M 2005 Applied Acoustics 66 481

    [4]

    [4]Van Buren A L 1971 J. Acoust. Soc. Am 51 705

    [5]

    [5]Dalmont J P 2001 J. Sound. Vib. 244 505

    [6]

    [6]Shao W, Kmechefske C 2005 J. Sound. Vib. 286 363

    [7]

    [7]Robey D H 1955 J. Acoust. Soc. 27 706

    [8]

    [8]Wang Z H, Hu Y M, Meng Zh, Ni M 2008 Acta Phys. Sin. 57 7022 [王泽锋、 胡永明、 孟洲、 倪明 2008 物理学报 27 706]

    [9]

    [9]Arase E M 1964 J. Acoust. Soc. Am. 36 1521

    [10]

    ]Burneet D S, Soroka W W 1972 J. Acoust. Soc. Am. 51 1618

    [11]

    ]Lee J, Seo I 1996 J. Sound. Vib. 198 299

    [12]

    ]Gallego-Juárez J A, Rodriguez-corral G, Gaete-Garreton.L 1978 Ultrasonics 11 267

    [13]

    ]Gallego-Juárez J A, Rodriguez-Corral 2000 Ultrasonics 38 331

    [14]

    ]Gallego-Juárez J A 2002 Ultrasonics 40 889

    [15]

    ]Porter D R 1964 J.Acoust. Soc. Am. 36 1154

    [16]

    ]He Z y, Zhao Y F 1981 Theoretical basis ofr acoustics (Beijing: National Defense Industry Press) p266 (in Chinese)[何祚镛、 赵玉芳编 1981 声学理论基础 (北京: 国防工业出版社), 第266页]

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出版历程
  • 收稿日期:  2009-07-28
  • 修回日期:  2009-08-20
  • 刊出日期:  2010-05-15

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