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

  • 제23권8호
  • /
  • Pages.725-733
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  • 2013
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  • 1598-2785(pISSN)
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  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
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평판의 고정밀도 고유진동수 추출을 위한 개선된 MNDIF법 정식 개발

New Formulation of MNDIF Method for Extracting Accurate Natural Frequencies of Plates

  • Kang, Sang-Wook (Dept. of Mechanical System Engineering, Hansung University) ;
  • Yoon, Juil (Dept. of Mechanical System Engineering, Hansung University)
  • 투고 : 2013.05.09
  • 심사 : 2013.07.25
  • 발행 : 2013.08.20
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초록

An improved formulation of the MNDIF method is introduced to extract highly accurate natural frequencies of concave plates with arbitrary shape. Originally, the MNDIF method cannot yield accurate natural frequencies for concave plates. It can be applicable to only convex plates. To overcome this weak point, a new approach of dividing a concave plate into two convex domains and applying the MNDIF method to each domain is proposed and the validity and accuracy are shown in verification examples.

키워드

참고문헌

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  8. Kang, S. W., Kim, I. S. and Lee, J. M., 2008, Free Vibration Analysis of Arbitrarily Shaped Plates with Smoothly Varying Free Edges Using NDIF Method, Journal of Vibration and Acoustics, Vol. 130, No. 4, pp. 041010.1-041010.8.
  9. Kang, S. W. and Yoon, J. I., 2012, Development of the NDIF Method Using a Sub-domain Method Approach for Extracting Highly Accurate Natural Frequencies of Arbitrarily Shaped Plates, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 22, No. 9, pp. 830-836. https://doi.org/10.5050/KSNVE.2012.22.9.830
  10. Kang, S. W. and Kim, J. G., 2009, A Formulation of NDIF Method to the Algebraic Eigenvalue Problem for Efficiently Extracting Natural Frequencies of Arbitrarily Shaped Plates with the Simply Supported Boundary Condition, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 19, No. 6, pp. 607-613. https://doi.org/10.5050/KSNVN.2009.19.6.607
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  12. Spiegel, M. R., 1983, Advanced Mathematics, McGraw-Hill, Inc, Singapore.
  13. Meirovitch, L., 1967, Analytical Methods in Vibrations, Macmillan Publishing, New York.
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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 Accurate Eigenvalues of Plates Using a Meshless Method vol.25, pp.11, 2015, https://doi.org/10.5050/KSNVE.2015.25.11.779