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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).

References

  1. Journal of Sound and Vibration v.221 Vibration Analysis of Arbitrarity Shaped Membranes Using Non-dimensional Dymamic Influence Funcation Kang,S.W.;Lee,J.M.;Kang,Y.J. https://doi.org/10.1006/jsvi.1998.2009
  2. Journal of the Acoustical Society of America v.107 no.3 Eigenmode Analysis of Arvitrarily Shaped Two-dimensional Cavities by the Method of Point matching Kang,S.W.;Lee,J.M. https://doi.org/10.1121/1.428456
  3. Journal of Sound and Vibration v.234 no.3 Application of Free Vibration Analysis of Membranes Using the Non-dimensional Dynamic Infuence Funtion Kang,S.W.;Lee,J.M. https://doi.org/10.1006/jsvi.1999.2872
  4. Journal of Sound and Vibration v.242 no.1 Free Vibration Analysis of Arbitrarily Shaped Plated with Clamped Edge Using Wave-type Functions Kang,S.W.;Lee,J.M. https://doi.org/10.1006/jsvi.2000.3347
  5. Journal of Sound and Vibration v.256 no.3 Free Vibration Analysis of Arbitrarily Shaped Plates with a Mixed Boundary Condition Using Non-Dimensinal Dynamic Influence Funtions Kang,S.W. https://doi.org/10.1006/jsvi.2002.5009
  6. Analytical Methods in Vibrations Meirovitch,L.
  7. 한국소음진동공학회논문집 v.5 no.3 단순급수함수를 이용한 임의 형상판의 자유진동해석 정대근