Impact of Locally Resonant Phononic Crystal Plates on Noise Reduction in Automotive Mufflers

Abstract

This paper presents a locally resonant phononic crystal with excellent noise reduction in the low-frequency range as a soundproofing plate in mufflers. A locally resonant phononic crystal is established, and the bandgap range of the phononic crystal is analyzed by using COMSOL software. Taking the partition plate in the muffler as the object, the acoustic-solid coupling is studied to analyze the sound insulation characteristics of the locally resonant phononic crystal. A phononic crystal plate-like structure is established to analyze its noise reduction performance in the muffler. The results indicate that the locally resonant phononic crystal exhibits favorable low-frequency sound insulation performance within a bandgap range below 200 Hz. At 160 Hz, the noise reduction is 15 dB higher than that of ordinary partition plates. As the number of layers of the phononic crystal plate increases, its noise reduction effect gradually enhances, while the magnitude of the noise reduction increment tends to diminish. At 160 Hz, the single-, double-and triple-layer plates achieve peak reductions of 47, 53 and 57 dB, respectively. Compared with the double-layer phononic crystal plate, the composite of the locally resonant phononic crystal plate and the steel plate has an average noise reduction of 5 dB higher. Through research and analysis of the composite locally resonant phononic crystal plates, more feasible combined structures can be provided for future muffler structural design.

Keywords

acoustic-solid coupling / muffler / low-frequency noise reduction / locally resonant phononic crystal / bandgap characteristic

References

[1] ZHANG R Q. Research on the noise reduction characteristics of double-layer perforated tube structures[D]. Zhengzhou: Zhongyuan University of Technology, 2023. (in Chinese)

[2] LIU R J. Theoretical study and analysis of acoustic characteristics of mufflers based on multilayer acoustic materials[D]. Zhengzhou: Zhongyuan University of Technology, 2023. (in Chinese)

[3] JIANG X, CHAI Y J, GENG Q, et al. Analysis of band gap characteristics of metamaterials in the solid-liquid state of scatterers[J]. Journal of Vibration Engineering, 2023, 36(3):825-836. (in Chinese)

[4] LI X C, YI X Y, WU X Z. Acoustic band gaps of two-dimensional phononic crystal with rotating square rods[J]. Journal of Central South University (Science and Technology), 2006, 37(2):269-273. (in Chinese)

[5] WEN J H, YU D L, ZHAO H G, et al. Elastic wave propagation in artificial periodic structures:vibration and acoustic properties[M]. Beijing: Science Press,China Science Publishing & Media Ltd., 2015. (in Chinese)

[6] LIU Z Y, ZHANG X X, MAO Y W, et al. Locally resonant sonic materials[J]. Science, 2000, 289(5485):1734-1736.

[7] WEN J H. Study of the vibrational band gap and damping characteristics of phononic crystals[D]. Changsha: National University of Defense Science and Technology, 2005. (in Chinese)

[8] YU D L, LIU Y Z, WANG G, et al. Vibration property of two-dimensional phononic crystal thin plate[J]. Chinese Journal of Mechanical Engineering, 2006, 42(2):150-154. (in Chinese)

[9] ZHANG Z, HAN X K, SU K C. Vibration reduction design of thin plate based on band gap features of phononic crystals[J]. Journal of Synthetic Crystals, 2016, 45(4):872-879. (in Chinese)

[10] FANG X, WEN J H, BONELLO B, et al. Ultra-low and ultra-broad-band nonlinear acoustic metamaterials[J]. Nature Communications, 2017, 8(1):1288.

[11] XIAO Y, WEN J H, WEN X S. Flexural wave band gaps in locally resonant thin plates with periodically attached spring-mass resonators[J]. Journal of Physics D:Applied Physics, 2012, 45(19):195401.

[12] XIAO Y, WEN J H, WEN X S. Sound transmission loss of metamaterial-based thin plates with multiple subwavelength arrays of attached resonators[J]. Journal of Sound and Vibration, 2012, 331(25):5408-5423.

[13] XIAO Y, WEN J H, HUANG L Z, et al. Analysis and experimental realization of locally resonant phononic plates carrying a periodic array of beam-like resonators[J]. Journal of Physics D:Applied Physics, 2014, 47(4):045307.

[14] WU J, BAI X C, XIAO Y, et al. Low frequency band gap and vibration reduction properties of a multi-frequency locally resonant phononic plate[J]. Acta Physica Sinica, 2016, 65(6):064602.

[15] FAN N B, WANG X W. Relationship between structural parameters of sonic crystals and sound transmission loss[J]. Development and Application of Materials, 2013, 28(2):51-54. (in Chinese)

[16] LI S. Fundamental research of phononic crystal and application to vibration and noise reduction[D].Harbin: Harbin Institute of Technology, 2012. (in Chinese)

[17] ASSOUAR B, OUDICH M, ZHOU X M. Acoustic metamaterials for sound mitigation[J]. Comptes Rendus Physique, 2016, 17(5):524-532.

[18] HE X D, XIAO Y, WEN J H. Influence of lattice constant on sound insulation properties of acoustic metamaterial plates[J]. Noise and Vibration Control, 2018,38 (Sup.1):51-55. (in Chinese)

[19] SHEN H J, LI Y F, SU Y S, et al. Review of sound and vibration control techniques for ship piping systems and exploration of photonic crystals applied in noise and vibration reduction[J]. Journal of Vibration and Shock, 2017, 36(15):163-170. (in Chinese)

[20] GAO C, SU N, WANG Z C. Numerical analysis of transmission loss performance of periodic stiffened plate in ship cabin[J]. Ship & Boat, 2017, 28(2):38-42. (in Chinese)

[21] MA C R, SHAO C, WAN Q M, et al. A locally-resonant phononic crystal for low-frequency vibration control of vehicles[J]. Journal of Applied Acoustics, 2018, 37(1):152-158. (in Chinese)

[22] ZHANG J N. Research on sound insulation performance of vehicles based on phononic crystals[D]. Changsha: Hunan University, 2017. (in Chinese)

[23] ZHANG J L, YAO H, DU J, et al. Low frequency sound insulation characteristics of the locally resonant phononic crystals in the large aircraft cabin[J]. Journal of the Chinese Ceramic Society, 2016, 44(10):1440-1445. (in Chinese)

Funding

National Natural Science Foundation of China(51705545)