Extension of Rational Interpolation Functions for FE Analysis of Rotating Beams

作者:

DOI: 10.5050/KSNVN.2009.19.6.591

关键词: Position (vector)RadiusRational functionDifferential equationMathematicsHomogeneous differential equationMathematical analysisInterpolationVibrationRotational speed

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

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