Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지
DOI QR코드

DOI QR Code

Effects of Geometric Configuration on the Vibro-acoustic Characteristics of Radial Vibration of an Annular Disc

환형 디스크 형상이 래디얼 진동에 의한 음향방사 특성에 미치는 영향

  • 이형일 (삼성전자 디지털프린팅(사) 개발1그룹)
  • Published : 2007.07.20
Download PDF
⟨ Previous Next ⟩

Abstract

This article investigates the effects of geometric configuration on the vibro-acoustic characteristics of in-plane vibration of a thick annular disc. Disc thickness and outer radius for a given inner radius are selected as independent variables having reasonable ranges. Variations in structural eigensolutions for radial modes are investigated using pre-developed analytical method. Based on these data, far-field sound pressure distributions due to the modal vibrations for a given geometry are also calculated using an analytical solution. Modal sound powers and radiation efficiencies are calculated from the far-field sound pressure distributions and vibratory velocity distributions on the radial surfaces. Based on the results explained above, the geometric configuration that minimizes modal sound radiations in a given frequency range is determined. Finally sound power and radiation efficiency spectra for a unit harmonic force from the selected geometric configuration are obtained from structural and acoustic modal data using the modal expansion technique. Multi-modal sound radiations of the optimized disc that are obtained using proposed analytical methods are confirmed with numerical results. Using the procedure introduced in this article, sound radiation due to in-plane modes within a specific frequency range can be minimized by the disc geometry modifications in a comprehensive and convenient manner.

이 논문은 후판 환형 디스크의 기하학적인 형상이 래디얼 방향 진동에 의해 방사되는 소음에 미치는 영향을 연구하였다. 디스크의 내경을 고정한 상태에서 두께와 외경을 주어진 범위내에서 변경하면서 이론적인 해를 이용하여 래디얼 모드의 고유진동수와 진동모드의 변화를 검토하였다. 이 결과를 이용하여, 해당 형상을 가진 디스크의 래디얼 방향 고유진동에 의해 발생되는 원격음장, 음향파워 및 방사효율을 계산하였다. 이 결과로부터 고유진동에 의한 음향파워와 방사효율을 최소화할 수 있는 기하학적인 형상을 선택하였다. 마지막으로, 최적화된 디스크의 임의 위치에 단위 하모닉 가진을 가했을 경우에 발생되는 음향파워 및 방사효율 스펙트럼을 구하였으며, 전산해석을 통해 그 정확성을 검증하였다. 이 논문에 소개된 방법을 적용하면 주어진 제한 조건을 만족하면서 목표 주파수 범위내에서 래디얼 진동에 의해 발생되는 소음을 최소화할 수 있는 기하학적인 형상을 간편하고 논리적으로 구할 수 있다.

Keywords

References

  1. Bhuta, P. G. and Jones, J. P., 1971, 'Symmetric Planar Vibrations of a Rotating Disc', J. Acoust. Soc. Am. Vol. 35, No. 7, pp. 982-989 https://doi.org/10.1121/1.1918643
  2. Burdess, S., Wren, T. and Fawcett, J. N., 1987, 'Plane Stress Vibration in Rotating Discs', Proceedings of the Institution of Mechanical Engineers 201, pp. 37-44
  3. Chen, J. S. and Jhu, J. L., 1996, 'On the In-plane Vibration and Stability of a Spinning Annular Disc', Journal of Sound and Vibration, Vol. 195, No. 4, pp. 585-593 https://doi.org/10.1006/jsvi.1996.0447
  4. Tzou, K. I., Wickert, J. A. and Akay, A., 1998, 'In-plane Vibration Modes of Arbitrary Thick Discs', Journal of Vibration and Acoustics, Vol. 120, pp. 384-391 https://doi.org/10.1115/1.2893842
  5. Irie, T., Yamada, G. and Muramoto, Y., 1984, 'Natural Frequencies of In-plane Vibration of Annular Plates', Journal of Sound and Vibration, Vol. 97, No. 1, pp. 1711-175
  6. Lee, H., 2005, 'Acoustic Radiation from Radial Vibration Modes of a Thick Annular Disk', Transactions of th Korean Society for Noise and Vibration Engineering, Vol. 15, No. 4, pp. 412-420 https://doi.org/10.5050/KSNVN.2005.15.4.412
  7. Lee, H., Singh, R, 2005, 'Comparison of Two Analytical Methods Used to Calculate Sound Radiation from Radial Vibration Modes of a Thick Annular Disc', Journal of Sound and Vibration, Vol. 285, pp. 1210-1216 https://doi.org/10.1016/j.jsv.2004.11.002
  8. Lee, H., Singh, R, 2005, 'Determination of Sound Radiation from a Simplified Disc-brake Rotor by a Semi-analytical Method', Noise Control Eng. J., Vol. 52, No. 5, pp. 225-239 https://doi.org/10.3397/1.2839752
  9. Junger, M. C. and Feit, D., 1985, Sound, Structures, and Their Interactions, MIT Press, New York
  10. Williams, E. G., 1999, Fourier Acoustics, Academic Press, San Diego
  11. Wang, C. and Lai, J. C. S., 2000, 'The Sound Radiation Efficiency of Finite Length Acoustically Thick Circular Cylindrical Shell under Mechanical Excitation I: Theoretical analysis', Journal of Sound and Vibration, Vol. 232, No. 2, pp. 431-447 https://doi.org/10.1006/jsvi.1999.2749
  12. Sandman, B. E., 1976, 'Fluid Loading Influence Coefficients for a Finite Cylindrical Shell', J. Acoust. Soc. Am. Vol. 60, No. 6, pp. 1256-1264 https://doi.org/10.1121/1.381238
  13. SDRC, 2000, I-DEAS User's Manual Version 8.2, USA
  14. NIT, 1999, SYSNOISE User's manual V. 5.4, Belgium

Cited by

  1. Sound radiation from in-plane vibration of thick annular discs with a narrow radial slot vol.227, pp.5, 2013, https://doi.org/10.1177/0954406212451066