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

  • 제40권5호
  • /
  • Pages.497-503
  • /
  • 2016
  • /
  • 1226-4873(pISSN)
  • /
  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지
DOI QR코드

DOI QR Code

덕트 밖에서 계산된 삽입 손실을 고려한 머플러 최적 설계

Optimal Muffler Design Considering the Insertion Loss Calculated Outside the Duct

  • 투고 : 2016.01.29
  • 심사 : 2016.04.04
  • 발행 : 2016.05.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

머플러의 확장방 내부에 격벽을 최적으로 배치하기 위한 음향 위상 최적화 문제를 정식화 한다. 목표 주파수에서 삽입 손실의 하한 값을 제한하며, 격벽의 부피를 목적 함수로 선정하여 최소화한다. 기존 연구에서는 투과 손실이나 덕트 내부에서 계산된 삽입 손실을 머플러의 소음 저감 특성으로 사용하였으나, 본 연구에서는 덕트 외부에서 계산된 삽입 손실을 사용한다. 음향 해석을 위해 유한 요소 모델이 사용되고, 각 유한 요소에 입사된 음파의 투과 정도는 "0"과 "1" 사이에서 연속적으로 변화하는 설계변수의 함수에 의해 결정된다. 입사파를 모두 반사시키는 강체들이 격벽을 형성한다. 목적 주파수와 허용하는 삽입손실 값에 따른 최적 위상을 비교한다.

In this study, we formulate an acoustical topology optimization problem to optimally design a partition layout inside the expansion chamber of a muffler. The lower-limit insertion loss value at a target frequency is constrained, and the partition volume is selected as an object function. In this study, we calculate the insertion loss outside the duct, while to determine the noise-attenuation performance, we use the insertion loss value calculated inside the duct or transmission loss value obtained in a previous study. We employ the finite-element model for acoustical analysis, and we determine the transmission of an incident acoustic wave through each finite element using the functions of design variables that change continuously between "0" and "1." The rigid body elements, which totally reflect incident waves, build up partitions. Finally, we compare optimal topologies that depend on the target frequency and the allowed lower-limit value of insertion loss.

키워드

참고문헌

  1. Munjal, M. L., 2014, Acoustic of Ducts and Mufflers 2nd edition, John Wiley & Sons.
  2. Craggs, A., 1976, "A Finite Element Method for Damped Acoustic Systems: an Application to Evaluate the Performance of Reactive Mufflers," Journal of Sound and Vibration, Vol. 48, No. 3, pp. 377-392. https://doi.org/10.1016/0022-460X(76)90063-8
  3. Prasad, M. G. and Crocker, M. J., 1981, "Insertion Loss Studies on Models of Automotive Exhaust Systems," The Journal of the Acoustical Society of America, Vol. 70, No. 5, pp. 1339-1344. https://doi.org/10.1121/1.387149
  4. Herrin, D. W., Ramalingam, S., Cui, Z. and Liu, J., 2012, "Predicting Insertion Loss of Large Duct Systems Above the Plane Wave Cutoff Frequency," Applied Acoustics, Vol. 73, No. 1, pp. 37-42. https://doi.org/10.1016/j.apacoust.2011.07.001
  5. Prasad, M. G. and Crocker, M. J., 1983, "Studies of Acoustical Performance of a Multi-cylinder Engine Exhaust Muffler System," The Journal of the Acoustical Society of America, Vol. 90, No. 4, pp. 491-508.
  6. Lapka, W., 2009, "Insertion Loss of Spiral Ductsmeasurements and Computations," Archives of Acoustics, Vol. 34, No. 4, pp. 537-545.
  7. Chang, Y. C. and Chiu, M. C., 2008, "Shape Optimization of One-chamber Perforated Plug/non-plug Mufflers by Simulated Annealing Method," International Journal for Numerical Methods in Engineering, Vol. 74, No. 10, pp. 1592-1620. https://doi.org/10.1002/nme.2226
  8. Barbieri, R. and Barbieri, N., 2006, "Finite Element Acoustic Simulation Based Shape Optimization of a Muffler," Applied Acoustics, Vol. 67, No. 4, pp. 346-357. https://doi.org/10.1016/j.apacoust.2005.06.007
  9. Lee, J. W. and Kim, Y. Y., 2009, "Topology Optimization of Muffler Internal Partitions for Improving Acoustical Attenuation Performance," International Journal for Numerical Methods in Engineering, Vol. 80, No. 4, pp. 455-477. https://doi.org/10.1002/nme.2645
  10. Lee, J. W., 2015, "Optimal Topology of Reactive Muffler Achieving Target Transmission Loss Values: Design and Experiment," Applied Acoustics, Vol. 88, pp. 104-113. https://doi.org/10.1016/j.apacoust.2014.08.005
  11. Olesen, L. H., Okkels, F. and Bruus, H., 2006, "A High-level Programming-language Implementation of Topology Optimization Applied to Steady-state Navier-Stokes Flow," International Journal for Numerical Methods in Engineering, Vol. 65, No. 7, pp. 975-1001. https://doi.org/10.1002/nme.1468
  12. Svanberg, K., 2002, "A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations," SIAM Journal on Optimization, Vol. 12, No. 2, pp. 555-573. https://doi.org/10.1137/S1052623499362822
  13. Lee, J. W. and Kim, Y. Y., 2009, "Rigid Body Modeling Issue in Acoustical Topology Optimization," Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 9-12, pp. 1017-1030. https://doi.org/10.1016/j.cma.2008.11.008