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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Vibration Analysis of a Rotating Cantilever Beam with Tip Mass Using DTM

끝단 집중 질량을 갖는 회전 외팔보의 DTM을 이용한 진동 해석

  • 김민주 (경북대학교 대학원 기계공학부) ;
  • 강남철 (경북대학교 기계공학부)
  • Received : 2010.09.10
  • Accepted : 2010.10.07
  • Published : 2010.11.20
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Abstract

The vibration analysis of a rotating cantilever beam with tip mass was studied by using DTM(differential transformation method). DTM is one of the numerical methods, for finding series solutions by transforming differential equations to algebraic ones similar with Laplace transform. The advantages of the DTM are that it is easy to understand and is effective in finding numerical solutions. Applying DTM, the natural frequencies of a rotating cantilever beam were obtained taking into consideration the effects of tip mass. Also, convergence study of DTM was performed to decide the number of terms used in eigenvalue problems. Numerical results obtained by DTM show good agreement with those by other methods. As a result, it is expected that DTM can be a useful method in vibration analysis such as that of a rotating cantilever beam with tip mass.

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References

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