• Title/Summary/Keyword: 허미시안 형상함수

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Extension of Rational Interpolation Functions for FE Analysis of Rotating Beams (회전하는 보의 유한요소해석을 위한 유리형상함수의 확장)

  • Kim, Yong-Woo;Jeong, Jae-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.04a
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    • pp.573-578
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    • 2009
  • Starting from the rotating beam finite element in which the interpolating shape functions satisfies the governing static homogeneous differential equation of Euler-Bernoulli rotating beams, we derived new shape functions that satisfies 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 beam.

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Extension of Rational Interpolation Functions for FE Analysis of Rotating Beams (회전하는 보의 유한요소해석을 위한 유리형상함수의 확장)

  • Kim, Yong-Woo;Jeong, Jae-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.6
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    • pp.591-598
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    • 2009
  • 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.