Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Underwater Structure-Borne Noise Analysis Using Finite Element/Boundary Element Coupled Approach

유한요소/경계요소 연성해석을 통한 수중 구조기인소음 해석

  • Lee, Doo-Ho (Dept. of Mechanical Engineering, Dongeui Univ.) ;
  • Kim, Hyun-Sil (Acoustic Group, Korea Institute of Machinery & Materials) ;
  • Kim, Bong-Ki (Acoustic Group, Korea Institute of Machinery & Materials) ;
  • Lee, Seong-Hyun (Acoustic Group, Korea Institute of Machinery & Materials)
  • Received : 2012.03.02
  • Accepted : 2012.04.16
  • Published : 2012.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

Radiated noise analysis from a ship structure is a challenging topic owing to difficulties in the accurate calculation of the fluid-structure interaction as well as owing to a massive degree of freedom of the problem. To reduce the severity of the problem, a new fluid-structure interaction formulation is proposed in this paper. The complex frequency-dependent added mass and damping matrices are calculated using the high-order Burton-Miller boundary integral equation formulation to obtain accurate values over all frequency bands. The calculated fluid-structure interaction effects are added to the structural matrices calculated by commercial finite element software, MSC/NASTRAN. Then, the impedance and underwater radiation noise due to an excitation of structure are calculated. The present formulation is applied to a ship to calculate the underwater radiated noise.

함정의 수중방사소음은 그 해석의 어려움이나 정확성에 있어서 매우 관심이 큰 문제이다. 본 논문에서는 구조물의 수중방사소음을 해석하기 위하여 유한요소/경계요소 연성해석법을 제안하였다. 제안된 방법은 헤름홀츠방정식에 대한 Burton-Miller 적분방정식에 기반하는 부가수 질량과 감쇠행렬을 이용하여 구조물의 구조-유체 연성응답을 해석하고 계산된 구조물의 응답으로부터 수중방사소음을 계산하는 순차적인 방법이다. 구조-유체연성작용의 구조해석은 상용소프트웨어인 MSC/NASTRAN 에 구조-유체연성효과 행렬을 추가하여 해석하는 방법으로 이루어졌고, 수중방사소음의 경우는 전용 소프트웨어를 개발하였다. 개발된 수중방사소음 해석법을 간단한 예제를 통하여 그 특성을 살피고, 실제 함정의 받침대 진동에 의한 수중방사소음의 계산에 적용하여 그 유용성을 보였다.

Keywords

References

  1. Marcus, M. S., 1978, "A Finite-Element Method Applied to the Vibration of Submerged Plates," Journal of Ship Research, Vol. 22, No. 2, p. 6.
  2. Mathews, I. C., 1986, "Numerical Techniques for Three-Dimensional Steady-State Fluid-Structure Interaction," The Journal of the Acoustical Society of America, Vol. 79, No. 5, pp.1317-1325. https://doi.org/10.1121/1.393711
  3. Chen, L., 1963, "Sound Radiation from an Arbitrary Body," J. Acoust. Soc. Am., Vol. 35, No. 10, pp.1626. https://doi.org/10.1121/1.1918770
  4. Schneider, S., 2008, "FE/FMBE Coupling to Model Fluid-Structure Interaction," International Journal for Numerical Methods in Engineering, Vol. 76, No. 13, pp.2137-2156. https://doi.org/10.1002/nme.2399
  5. Everstine, G. C., Henderson, F. M. and Schuetz, L. S., 1988, "Coupled Finite Element/Boundary Element Approach for Acoustic Radiation and Scattering," The Journal of the Acoustical Society of America, Vol. 84, No. S1, pp.S58-S58.
  6. Everstine, G. C., 1991, "Prediction of Low Frequency Vibrational Frequencies of Submerged Structures," Journal of Vibration and Acoustics, Vol. 113, No. 2, pp.187-191. https://doi.org/10.1115/1.2930168
  7. Tong, Z., Zhang, Y., Zhang, Z. and Hua, H., 2007, "Dynamic Behavior and Sound Transmission Analysis of a Fluid-Structure Coupled System Using the Direct-BEM/FEM," Journal of Sound and Vibration, Vol. 299, No. 3, pp.645-655. https://doi.org/10.1016/j.jsv.2006.06.063
  8. Mackerle, J., 1999, "Fluid-Structure Interaction Problems, Finite Element and Boundary Element Approaches A Bibliography (1995-1998)," Finite Elements in Analysis and Design, Vol. 31, No. 3, pp.231-240. https://doi.org/10.1016/S0168-874X(98)00065-1
  9. Brunner, D., Junge, M. and Gaul, L., 2009, "A Comparison of FE-BE Coupling Schemes for Large-Scale Problems with Fluid-Structure Interaction," International Journal for Numerical Methods in Engineering, Vol. 77, No. 5, pp.664-688. https://doi.org/10.1002/nme.2412
  10. Zhou, Q., Zhang, W. and Joseph, P. F., 2001, "A New Method of Determining Acoustic Added Mass and Damping Coefficient of Fluid-Structure Interaction," Practical Design of Ships and Other Floating Structures: Proceedings of the Eighth International Symposium on Practical Design of Ships and Other Floating Structures, Vol. 2, No. pp.1185-1195.
  11. Deruntz, J. A. and Geers, T. L., 1978, "Added Mass Computation by the Boundary Integral Method," International Journal for Numerical Methods in Engineering, Vol. 12, No. 3, pp.531-550. https://doi.org/10.1002/nme.1620120312
  12. Yang, J., 1990, "Comparison of Added Mass Modelling for Ships," Mechanical Engineering, Vol. MS, No. pp.96.
  13. Luu, V. C., 1991, "Boundary-Integral Formulation for Three-Dimensional Fluid-Structure Interaction," Department of Aronautics and Astonautics, Vol. MS, No.
  14. Zhou, Q. and Joseph, P. F., 2005, "A Numerical Method for the Calculation of Dynamic Response and Acoustic Radiation from an Underwater Structure," Journal of Sound and Vibration, Vol. 283, No. 3-5, pp.853-873. https://doi.org/10.1016/j.jsv.2004.05.028
  15. Wu, T. W., 2000, Boundary Element Acoustics : Fundamental and Computer Codes, WIT Press,
  16. Liu, Y. and Rizzo, F. J., 1992, "A Weakly Singular form of the Hypersingular Boundary Integral Equation Applied to 3-D Acoustic Wave Problems," Computer Methods in Applied Mechanics and Engineering, Vol. 96, No. 2, pp.271-287. https://doi.org/10.1016/0045-7825(92)90136-8
  17. Burton, A. J. and Miller, G. F., 1971, "The Application of Integral Equation Methods to the Numerical Solution of Some Exterior Boundary-Value Problems," Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 323, No. 1553, pp.201-210.

Cited by

  1. A Property of Crack Propagation at the Specimen of CFRP with Layer Angle vol.40, pp.12, 2016, https://doi.org/10.3795/KSME-A.2016.40.12.1013
  2. An Analytical Study on Crack Behavior Inside Standard Compact Tension Specimen with Holes vol.40, pp.6, 2016, https://doi.org/10.3795/KSME-A.2016.40.6.531