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

A Mathematical Formulation of the Structural-acoustic System with an Opening and a Flexible Structure

입구와 유연한 구조물로 구성된 경계를 가지는 구조-음향 연성계의 수학적 표현

  • 서희선 (한국과학기술원 기계공학과) ;
  • 김양한 (한국과학기술원 기계공학과)
  • Published : 2005.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper explains a general coupling system in terms of the system parameters. impedance of a cavity or mobility of a structure. To easily access the mechanism of the structural-acoustic coupled system, a simple expression is derived. A general coupled equation is also derived of a general coupled problem constituted a flexible structure and an opening boundary in terms of vector and matrix notation, and is analyzed the coupling phenomena using the understanding acquired simple coupled system. The paper shows that the general coupled equation is expanded version of the simple coupled equation by some limiting checks. The paper also shows that the degree of coupling is proportioned to a stiffness of the acoustic system and a modal coupling coefficient, but is in inverse proportion to a mass of the structural system and the difference of the excitation frequency and resonant frequency of the acoustic or structural system.

Keywords

References

  1. Guy, R. W. and Bhattacharya, M. C., 1973, 'The Transmission of Sound Through a Cavitybacked Ffinite Plate,' J. Sound Vib., Vol. 27, No.2, pp.203-223
  2. Guy, R. W., 1979, 'The Steady State Transmission of Sound at Normal and Oblique Incidence Through a Thin Panel Backed by a Thin Panel Backed by a Rectangular Room a Multi-modal Analysis,' Acustica, Vol. 43, pp.295-304
  3. Pan, J.. Hansen, C. H. and Bies, D. A, 1990, 'Active Control of Noise Transmission Through a Panel Into a Cavity: I. Analytical Study,' J. Acous. Soc. Am., Vol. 87, No.5. pp.2098-2108 https://doi.org/10.1121/1.399555
  4. Pan, J. and Hansen, C. H., 1991, 'Active Control of Noise Transmission Through a Panel Into a Cavity: I. Analytical study.' J. Acous. Soc. Am., Vol. 90, No.3, pp.1488-1492 https://doi.org/10.1121/1.401887
  5. Kim, S. M. and Brennan, M. J., 2000, 'Active Control of Harmonic Sound Transmission Into an Acoustic Enclosure Using Both Structural and Acoustic Actuators,' J. Acous. Soc. Am., Vol. 107, No.5, pp.2523-2534 https://doi.org/10.1121/1.428640
  6. Fuller, C. R. and Fahy, F. J. 1982, 'Characteristics of Wave Propagation and Energy Distributions in Cylindrical Elastic Shells Filled with Fluid,' J. Sound Vib., Vol. 81, No.4, pp. 501-518 https://doi.org/10.1016/0022-460X(82)90293-0
  7. Craggs, A. 1971, 'The Transient Response of a Coupled Plate-acoustic System Using Plate and Acoustic Finite Elements.' J. Sound Vib., Vol. 15, No.4, pp.509-528 https://doi.org/10.1016/0022-460X(71)90408-1
  8. Craggs, A., 1973, 'An Acoustic Finite Element Approach for Studying Boundary Flexibility and Sound Transmission Between Irregular Enclosures,' J. Sound Vib., Vol. 30, No.3, PP. 343-357 https://doi.org/10.1016/S0022-460X(73)80243-3
  9. Dowell, E. H. and Voss, H. M., 1963, 'The Effect of a Cavity on Panel Vibration,' AIAA Journal. Vol. 1, No.2, pp.476-477 https://doi.org/10.2514/3.1568
  10. Dowell, E. H., Gorman, G. F. and Smith, . D. A., 1977, 'Acoustoelasticity : General Theory, Acoustic Natural Modes and Forced Response to Sinusoidal Excitation, Including Comparisons with Experiment,' J. Sound Vib., Vol. 52, No.4, pp. 519-542 https://doi.org/10.1016/0022-460X(77)90368-6
  11. Pan, J., Hansen, C. H. and Bies, D. A., 1990, 'Active Control of Noise Transmission Through a Panel Into a Cavity: I. Analytical Study, J. Acous. Soc. Am., Vol. 87, No.5, pp.2098-2108 https://doi.org/10.1121/1.399555
  12. Kim, S.-M. and Kim, Y.-H., 2002, 'Solution of Coupled Acoustic Problems : a Partially Opened Cavity Coupled with a Membrane and a Semiinfinite Exterior Field,' J. Sound Vib., Vol. 254, No. 2, pp. 231-244 https://doi.org/10.1006/jsvi.2001.3938
  13. 서희선, 김양한, 2004, '구조-음향 연성계의 경계값 변화에 따른 방사음 변화', 한국소음진동공학회논문집, 제 14 권, 제 7 호, pp. 604-611
  14. 서희선, 김양한, 2004, '다양한 경계 형상에 따른 구조-음향 연성계의 음향특성', 한국소음진동공학회논문집, 제 14 권, 제 8 호, pp. 718 -725
  15. Nefske, D. J., Wolf, J. A., JR and Howell, L. J., 1982, 'Structural-acoustic Finite Element Analysis of the Automobile Passenger Compartment: a Review of Current Practice,' J. Sound Vib., Vol. 80, No.2, pp. 247-266 https://doi.org/10.1016/0022-460X(82)90194-8
  16. Kinsler, L. E., Frey, A. R., Coppens, A. B. and Sanders, J. V., 1982, 'Fundamentals of Acoustics,' PP. 225-234, John Wiley and Sons
  17. Kim, S. M. and Brennan, M. J., 1999, 'A Compact Matric Formulation Using the Impedance and Mobility Approach for the Analysis of Structural-acoustic Systems,' J. Sound Vib., Vol. 223, No. 1, pp. 97-113 https://doi.org/10.1006/jsvi.1998.2096