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Free Vibration Analysis of Arbitrarily Shaped Plates with Free Edges Using Non-dimensional Dynamic Influence Functions

무차원 동영향 함수를 이용한 자유단 경계를 가진 임의 형상 평판의 자유진동해석

  • 강상욱 (한성대학교 기계시스템공학과) ;
  • 김일순 (서울대학교 대학원 기계항공공학부) ;
  • 이장무 (서울대학교 기계항공공학부)
  • Published : 2003.10.01

Abstract

The so-called boundary node method (or NDIF method) that was developed by the authors has been extended for free vibration analysis of arbitrarily shaped plates with free edges. Since the proposed method requires no interpolation functions. no integration Procedure is needed on boundary edges of the plates and only a small amount of numerical calculation is involved, compared with FEM and BEM. In order to explain tile reason why spurious eigenvalues are generated when the NDIF method is applied to free plates, the NDIF method has been considered for free vibration analysis of both a fixed string and a free beam. Finally, verification examples show that natural frequencies obtained by the present method agree well with those given by an exact method or a numerical method (ANSYS).

Keywords

References

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