Predicting scattering properties of a periodic-type diffuser with a rectangular profile

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (7) : 80-85.

WANG Haitao,ZENG Xiangyang,DU Bokai,LIU Yanshan

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Abstract

The periodic-type diffuser is a kind of important acoustical structures in architectures.It is usually beneficial to improve diffusion and prevent echoes.However,sometimes it also leads to side effects of coloration because of its periodically arranged structure.Here,a grating effect-based method was developed to predict scattering properties of a periodic-type diffuser with a rectangular profile most widely used in room acoustics.Firstly,the derivation of the grating effect-based method was introduced in detail.This method was capable of calculating the scattering energy of reflection waves using the geometrical parameters of the diffuser without time-consuming numerical simulations.Then,the calculation and comparison of scattering coefficients in examples showed that the proposed method has a good accuracy to predict scattering properties.Lastly,the scattering properties of the periodic-type diffuser with a rectangular profile were analyzed using the grating effect-based method.The results demonstrated that the periodic-type diffuser with a rectangular profile has properties of missing order scattering and symmetric scattering; based on these special properties,the periodic-type diffuser with a rectangular profile can not only be more reasonably used in room acoustics,but also play an important role in other engineering fields,such as,spatial filtering,spectrum control,and noise control.

Key words

periodic type diffuser / rectangular profile / scattering coefficient / missing order scattering / symmetrical scattering

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WANG Haitao,ZENG Xiangyang,DU Bokai,LIU Yanshan. Predicting scattering properties of a periodic-type diffuser with a rectangular profile[J]. Journal of Vibration and Shock, 2017, 36(7): 80-85

References

[1] Beranek L L. Music, acoustics & architecture[M]. New York: Wiley, 1962.
[2] Beranek L L. How They Sound: Concert and Opera Halls[M]. New York: Acoustical Society of American, 1996.
[3] 王季卿. 声场扩散与厅堂音质[J]. 声学学报, 2001, 26(5): 417-421.
Wang J Q. Sound diffusion and auditorium acoustics[J]. Acta Acustica, 2001, 26(5): 417-421.
[4] 乐意, 赵其昌, 沈勇, 孙广荣, 杨小军. 大型厅堂的建筑声学设计方法研究[J]. 南京大学学报（自然科学）, 2011, 47(2): 208-217.
Le Y, Zhao Q C, Shen Y, Sun G R, Yang X J. Study on the acoustic design of large auditoriums[J]. Journal of Nanjing University(Natural Sciences), 2011, 47(2): 208-217.
[5] 陈荣, 吴天行. 非对称周期结构中耦合波的传播特性[J]. 振动与冲击, 2015, 34(1): 68-73.
Chen R, Wu T X. Coupled wave propagation in asymmetric periodic structures[J]. Journal of Vibration and Shock, 2015, 34(1): 68-73.
[6] 蒋国荣. 室内声场模拟中的界面声散射[J]. 声学技术, 2009, 28(6): 697-700.
Jiang G R. Sound scattering in room acoustic modeling[J]. Technical Acoustics, 2009, 28(6): 697- 700.
[7] 刘海生, 龚农斌. 室内声学中散射研究进展[J]. 应用声学, 2005, 24(2): 126-132.
Liu H S, Gong N B. Progress in diffusers researches in room acoustics[J]. Applied Acoustics(Chinese), 2005, 24(2): 126-132.
[8] Rayleigh J W. The Theory of Sound[M]. New York: Dover, 1945.
[9] Wirgin A. Reflection from a corrugated surface[J]. J. Acoust. Soc. Am., 1980, 68(2): 692-699.
[10] Chesneaux J M, Wirgin A. Reflection from a corrugated surface revisited[J]. J. Acoust. Soc. Am., 1994, 96(2): 1116-1129.
[11] Kosaka Y, Sakumay T. Numerical examination on scattering coefficients of architectural surfaces using the boundary element method[J]. Acoust. Sci. & Tech., 2005, 26(2): 136-144.
[12] Sakamoto S, Mukai H, Tachibana H. Numerical study on sound absorption characteristics of resonance-type brick/block walls[J]. J. Acoust. Soc. Jpn., 2000, 21(1): 9-15.
[13] Embrechts J J, Geetere L D, Vermeir G, Vorländer M, Sakuma T. Calculation of the random incidence scattering coefficients of a sine-shaped surface[J]. Acta Acust. Acust., 2006, 92(4): 593-603.
[14] Mommertz E. Determination of scattering coefficients from the reflection directivity of architectural surface[J]. Appl. Acoust., 2000, 60(2): 201-203.
[15] 李鸿秋, 陈国平, 史宝军. 多联通封闭空间声场响应的基于核重构的最小二乘无网格解法[J]. 振动与冲击, 2012, 31(8): 148-163.
Li H Q, Chen G P, Shi B J. Acoustic response in multi- domain based on least- square point collocation method and reproducing kernel particle method[J]. Journal of Vibration and Shock, 2012, 31(8): 148-163.
[16] 王海涛, 曾向阳. 周期结构声散射系数的无网格数值计算方法[J]. 计算物理, 2013, 30(2): 229-236.
Wang H T, Zeng X Y. Meshless models for numerical calculation of scattering coefficients of periodic structures[J]. Chinese Journal of Computational physics, 2013, 30(2): 229-236.
[17] Choi Y J. Effects of periodic type diffusers on classroom acoustics[J]. Appl. Acoust., 2013, 74(5): 694-707.
[18] Holford R L. Scattering of sound waves at the ocean surface: a diffraction theory[J]. J. Acoust. Soc. Am., 1981, 70: 1103-1115.
[19] Holford R L. Scattering of sound waves at a periodic, pressure-release surface: An exact solution[J]. J. Acoust. Soc. Am., 1981, 70(4): 1116-1128.
[20] Choi Y J, Jeong D U, Kim J Y, Some issues in measurement of the random-incidence scattering coefficients in a reverberation room, in proceedings of ACOUSTICS 2006. 2006: Christchurch, New Zealand.
[21] Lee H, Sakuma T. Numerical characterization of acoustic scattering coefﬁcients of one-dimensional periodic surfaces[J]. Appl. Acoust., 2015, 88: 129-136.
[22] 张雄, 刘岩. 无网格法[M]. 北京: 清华大学出版社, 2004.
Zhang X, Liu Y. Meshless method[M]. Beijing: Tsinghua Press, 2004.