Abstract
Thin plate is a typical key structure of various transportation vehicles such as airplanes and high-speed trains. The sound insulation performance of the plate, especially the low-frequency sound insulation performance, has attracted extensive attention. In this paper, first, taking the finite rectangular locally resonant plate as the research object, based on the plane wave expansion (PWE) method, the theoretical model of sound insulation under simply supported four-sided boundary conditions is established. Secondly, the correctness of the model is verified by calculating the normal incident sound insulation. Thirdly, the influence of the target frequency of oscillator, the number of local oscillators, the additional mass ratio, and the spring damping on the sound insulation performance of the locally resonant plate is analyzed. Finally, a single-value index of low-frequency weighted sound insulation is introduced to perform a single-value evaluation of the sound insulation in the 20–250 Hz frequency band. Relative studies provide a reference for the sound insulation design of the locally resonant plate.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ma, J., Sheng, M., Guo, Z., Qin, Q.: Dynamic analysis of periodic vibration suppressors with multiple secondary oscillators. J. Sound Vib. 424, 94–111 (2018)
Yin, J.F., Cai, L., Fang, X., Xiao, Y., Yang, H.B. et al.: Review on research progress of mechanical metamaterials and their applications on vibration and noise control. Adv. Mech. (In Chinese) 52, 1–79 (2012)
Xiao, Y., Wen, J., Wen, X.: Sound transmission loss of metamaterial-based thin plates with multiple subwavelength arrays of attached resonators. J. Sound Vib. 331(25), 5408–5423 (2012)
Xiao, Y., Cao, J., Wang, S., Guo, J., Wen, J., Zhang, H.: Sound transmission loss of plate-type metastructures: semi-analytical modeling, elaborate analysis, and experimental validation. Mech. Syst. Signal Process. 153, 107487 (2021)
Zhang, R., Xiao, Y., Wen, J., et al.: Analysis of sound transmission through simply supported locally resonant plate based on the modal superposition method. In: Proceedings of the 11th National Conference on the Theory and Application of Random Vibration, pp. 1–12. (In Chinese)
Qin, Q., Sheng, M., Guo, Z.: Low-frequency vibration and radiation performance of a locally resonant plate attached with periodic multiple resonators. Appl. Sci. 10(8), 2843 (2020)
Ou, D.Y.: Low frequency sound insulation analysis and evaluation of stiffened building structures. Build. Environ. 94, 802–809 (2015)
Ou, D., Mak, C.M.: The effects of elastic supports on the transient vibroacoustic response of a window caused by sonic booms. J. Acoustical Soc. Am. 130(2), 783–790 (2011)
Funding Statement
The present work is supported by the National Key R&D Program of China (No. 2021YFF0603904), Fundamental Research Funds for the Central Universities (PHD2023-044, PHD2023-009), Natural Science Foundation of Sichuan Province of China (2022NSFSC1897, 2023JDRC0004, 2023NSFSC0902) and the Open Project of Key Laboratory of Aerodynamic Noise Control of China Aerodynamics Research and Development Center (No. ANCL20220202).
Conflicts of Interest
The authors declare that they have no conflicts of interest to report regarding the present study.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Zhang, YM., Zhao, Y., Yao, D., Li, Y., Li, MX., Pan, WJ. (2024). Analysis of Low-Frequency Sound Insulation Characteristics of Simply Supported Locally Resonant Plate. In: Li, S. (eds) Computational and Experimental Simulations in Engineering. ICCES 2023. Mechanisms and Machine Science, vol 146. Springer, Cham. https://doi.org/10.1007/978-3-031-44947-5_26
Download citation
DOI: https://doi.org/10.1007/978-3-031-44947-5_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-44946-8
Online ISBN: 978-3-031-44947-5
eBook Packages: EngineeringEngineering (R0)