Structural Engineering and Mechanics

  • 제61권6호
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  • Pages.765-773
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  • 2017
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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Quadratic B-spline finite element method for a rotating non-uniform Rayleigh beam

  • 투고 : 2016.06.16
  • 심사 : 2016.11.23
  • 발행 : 2017.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

The quadratic B-spline finite element method yields mass and stiffness matrices which are half the size of matrices obtained by the conventional finite element method. We solve the free vibration problem of a rotating Rayleigh beam using the quadratic B-spline finite element method. Rayleigh beam theory includes the rotary inertia effects in addition to the Euler-Bernoulli theory assumptions and presents a good mathematical model for rotating beams. Galerkin's approach is used to obtain the weak form which yields a system of symmetric matrices. Results obtained for the natural frequencies at different rotating speeds show an accurate match with the published results. A comparison with Euler-Bernoulli beam is done to decipher the variations in higher modes of the Rayleigh beam due to the slenderness ratio. The results are obtained for different values of non-uniform parameter ($\bar{n}$).

키워드

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피인용 문헌

  1. Transverse Vibration of Rotating Tapered Cantilever Beam with Hollow Circular Cross-Section vol.2018, pp.1875-9203, 2018, https://doi.org/10.1155/2018/1056397
  2. Quadratic B-spline finite element method for a rotating nonuniform Euler–Bernoulli beam pp.1550-2295, 2018, https://doi.org/10.1080/15502287.2018.1520757
  3. Finite element based stress and vibration analysis of axially functionally graded rotating beams vol.79, pp.1, 2017, https://doi.org/10.12989/sem.2021.79.1.023