Simulation Experiment on the Influence of Geometric Structure Design of Resonant Tube on Static Stress Distribution and Resonant Frequency

Authors

  • Yilan Xie
  • Yi Yu

DOI:

https://doi.org/10.54097/s2fr1j88

Keywords:

Resonant tube, Structural design, Static stress analysis, Modal analysis.

Abstract

The resonant tube is a key component in thermoacoustic refrigeration machines. Studying the geometric structure of the resonant tube on its static stress distribution, modal and natural frequency can improve the working performance of the resonant tube. This article starts with the working principle and geometric structure design of the resonant tube, then establishes a resonant tube model and analyzes the influence of alternations in the geometric structure parameters of the resonant tube on its static stress distribution and resonant frequency. The research results indicate that the equivalent stress of the mutant resonant tube is the smallest compared to the gradient resonant tube; The resonant frequency of the resonant tube slowly increases with the increase of the opening angle, and rapidly decreases with the increase of the tail cavity radius. Based on the conclusions above, this article explores a method for designing a resonant tube with a specific resonant frequency: by adjusting the geometric parameters of the resonant tube, its resonant frequency will continuously alter and gradually approach the acoustic driving frequency to achieve resonance and output the maximum acoustic pressure. This design method provides important theoretical basis for the design of resonant tubes in practical engineering applications.

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References

[1] Yu Y, Zhou J, He W. Effect of tube dimensions on resonant frequency of stepped acoustic resonator [J]. Transactions of the Institute of Measurement and Control, 2024: 01423312241284667.

[2] Chi J, Xu J, Zhang L, et al. Numerical simulation study of gas-liquid coupled double-acting traveling-wave thermoacoustic refrigeration system[J]. Journal of Refrigeration, 2021, 42 (04): 50 - 56.

[3] Hu A, Zhang G, Li C, et al. Resonant frequency of sound wave in a resonance tube with partially closed end [J]. Physics and Engineering, 2023, 33 (01): 115 - 119.

[4] Bouman, Troy M. Development of the Carbon Nanotube Thermoacoustic Loudspeaker [D]. ProQuest Dissertations and Theses Full-text Search Platform, 2021.

[5] Sun W, Chen G, Tang L, et al. Numerical study on acoustic matching between driver and resonator of loudspeaker-driven thermoacoustic refrigerator [J]. International Journal of Green Energy, 2025, 22 (6): 1072 - 1086.

[6] Guo FH, Du JT, Liu Y. Dynamic behavior modeling and energy conversion characteristic analysis of a thermoacoustic-piezoelectric generator with the consideration of thermal and viscous losses [J]. Journal of Sound and Vibration, 2024, 577 118338-.

[7] Gong J. Study on the nonlinear acoustic field of exponential shaped thermoacoustic resonator [D]. Hunan University of Science and Technology, 2016.

[8] Elgezzar M, Rashad A, Hassan M S, et al. CFD simulation with analytical verification of discharging of nitrogen and helium from a high-pressure gas vessel [J]. Journal of Physics: Conference Series, 2023, 2616 (1).

[9] Rezaeepazhand, Amirreza. Modeling and Simulations of 2D Nano-Mechanical Resonators [D]. ProQuest Dissertations and Theses Full-text Search Platform, 2024.

[10] Guo F. Fundamental study on high-frequency miniature standing-wave thermoacoustic refrigerators [D]. Inner Mongolia University of Science and Technology, 2015.

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Published

02-07-2025

How to Cite

Xie, Y., & Yu, Y. (2025). Simulation Experiment on the Influence of Geometric Structure Design of Resonant Tube on Static Stress Distribution and Resonant Frequency. Highlights in Science, Engineering and Technology, 143, 96-106. https://doi.org/10.54097/s2fr1j88