DOI QR코드

DOI QR Code

임의 형상 음향 공동의 고정밀도 고유치 추출을 위한 개선된 NDIF법 개발

Development of a Modified NDIF Method for Extracting Highly Accurate Eigenvalues of Arbitrarily Shaped Acoustic Cavities

  • 강상욱 (한성대학교 기계시스템공학과) ;
  • 윤주일 (한성대학교 기계시스템공학과)
  • 투고 : 2012.05.16
  • 심사 : 2012.06.11
  • 발행 : 2012.08.20

초록

A modified NDIF method using a sub-domain approach is introduced to extract highly accurate eigenvalues of two-dimensional, arbitrarily shaped acoustic cavities. The NDIF method, which was developed by the authors for the eigen-mode analysis of arbitrarily shaped acoustic cavities, has the feature that it yields highly accurate eigenvalues compared with other analytical methods or numerical methods(FEM and BEM). However, the NDIF method has the weak point that it can be applicable for only convex cavities. It was revealed that the solution of the NDIF method is very inaccurate or is not suitable for concave cavities. To overcome the weak point, the paper proposes the sub-domain method of dividing a concave domain into several convex domains. Finally, the validity of the proposed method is verified in two case studies, which indicate that eigenvalues obtained by the proposed method are more accurate compared to the exact method, the NDIF method, or FEM(ANSYS).

키워드

참고문헌

  1. Bathe, K., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, New Jersey.
  2. Brebbia, C. A., Telles, J. C. F. and Wrobel, L. C., 1984, Boundary Element Techniques, Springer- Verlag, New York.
  3. Kang, S. W. and Lee, J. M., 2000, Eigenmode Analysis of Arbitrarily Shaped Two-dimensional Cavities by the Method of Point-matching, Journal of the Acoustical Society of America, Vol. 107, No. 3, pp. 1153-1160. https://doi.org/10.1121/1.428456
  4. Kang, S. W. and Yon, J, I., 2011, Development of an Improved NDIF Method for Efficiently Extracting Eigenvalues and Eigenmodes of Arbitrarily Shaped Acoustic Cavities, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 21, No. 10, pp. 960-966. https://doi.org/10.5050/KSNVE.2011.21.10.960
  5. Blevins, R. D., 1979, Formulas for Natural Frequency and Mode Shape, New York: Litton Education Publishing.
  6. Meirovitch, L., 1967, Analytical Methods in Vibrations, Macmillan Publishing, New York.

피인용 문헌

  1. New Formulation of MNDIF Method for Accurate Eigenvalue Analysis of Concave Acoustic Cavities vol.23, pp.11, 2013, https://doi.org/10.5050/KSNVE.2013.23.11.1003
  2. Extraction of Highly Accurate Eigenvalues of Arbitrarily Shaped Acoustic Cavities with a Mixed Boundary vol.28, pp.5, 2018, https://doi.org/10.5050/KSNVE.2018.28.5.542
  3. Eigenvalue Analysis of Arbitrarily Shaped, Acoustic Cavities Using Two-domain Method vol.28, pp.4, 2018, https://doi.org/10.5050/KSNVE.2018.28.4.410