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

  • 제19권6호
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  • Pages.591-598
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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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회전하는 보의 유한요소해석을 위한 유리형상함수의 확장

Extension of Rational Interpolation Functions for FE Analysis of Rotating Beams

  • 김용우 (순천대학교 기계공학과) ;
  • 정재호 (순천대학교 대학원 기계공학과)
  • 발행 : 2009.06.20
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초록

Starting from the rotating beam finite element in which the interpolating shape functions satisfy the governing static homogeneous differential equation of Euler-Bernoulli rotating beams, we derived new shape functions that satisfy the governing differential equation which contains the terms of hub radius and setting angle. The shape functions are rational functions which depend on hub radius, setting angle, rotational speed and element position. Numerical results for uniform and tapered cantilever beams with and without hub radius and setting angle are compared with the available results. It is shown that the present element offers an accurate method for solving the free vibration problems of rotating beams.

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참고문헌

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