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

  • 제19권6호
  • /
  • Pages.607-613
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  • 2009
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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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단순지지 경계조건을 가진 임의 형상 평판의 효율적인 고유진동수 추출을 위한 NDIF법의 대수 고유치 문제로의 정식화

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

  • 강상욱 (한성대학교 기계시스템공학과) ;
  • 김진곤 (대구가톨릭대학교 기계자동차공학부)
  • 발행 : 2009.06.20
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초록

A new formulation of NDIF method to the algebraic eigenvalue problem is introduced to efficiently extract natural frequencies of arbitrarily shaped plates with the simply supported boundary condition. NDIF method, which was developed by the authors for the free vibration analysis of arbitrarily shaped membranes and plates, has the feature that it yields highly accurate natural frequencies compared with other analytical methods or numerical methods(FEM and BEM). However, NDIF method has the weak point that it needs the inefficient procedure of searching natural frequencies by plotting the values of the determinant of a system matrix in the frequency range of interest. A new formulation of NDIF method developed in the paper doesn't require the above inefficient procedure and natural frequencies can be efficiently obtained by solving the typical algebraic eigenvalue problem. Finally, the validity of the proposed method is shown in several case studies, which indicate that natural frequencies by the proposed method are very accurate compared to other exact, analytical, or numerical methods.

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참고문헌

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피인용 문헌

  1. New Formulation of MNDIF Method for Extracting Accurate Natural Frequencies of Plates vol.23, pp.8, 2013, https://doi.org/10.5050/KSNVE.2013.23.8.725
  2. Efficient Meshless Method for Accurate Eigenvalue Analysis of Clamped Plates vol.25, pp.10, 2015, https://doi.org/10.5050/KSNVE.2015.25.10.653
  3. 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