Structural Engineering and Mechanics

  • 제20권3호
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  • Pages.293-312
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  • 2005
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Free vibration analysis of rotating beams with random properties

  • Hosseini, S.A.A. (Department of Mechanical Engineering, Tarbiat Modarres University) ;
  • Khadem, S.E. (Department of Mechanical Engineering, Tarbiat Modarres University)
  • 투고 : 2004.06.22
  • 심사 : 2005.03.31
  • 발행 : 2005.06.20
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, free vibration of rotating beam with random properties is studied. The cross-sectional area, elasticity modulus, moment of inertia, shear modulus and density are modeled as random fields and the rotational speed as a random variable. To study uncertainty, stochastic finite element method based on second order perturbation method is applied. To discretize random fields, the three methods of midpoint, interpolation and local average are applied and compared. The effects of rotational speed, setting angle, random property variances, discretization scheme, number of elements, correlation of random fields, correlation function form and correlation length on "Coefficient of Variation" (C.O.V.) of first mode eigenvalue are investigated completely. To determine the significant random properties on the variation of first mode eigenvalue the sensitivity analysis is performed. The results are studied for both Timoshenko and Bernoulli-Euler rotating beam. It is shown that the C.O.V. of first mode eigenvalue of Timoshenko and Bernoulli-Euler rotating beams are approximately identical. Also, compared to uncorrelated random fields, the correlated case has larger C.O.V. value. Another important result is, where correlation length is small, the convergence rate is lower and more number of elements are necessary for convergence of final response.

키워드

참고문헌

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  15. Minimum Diameter of Optimally Located Damping Wire to Maximize the Fundamental Frequencies of Rotating Blade Using Timoshenko Beam Theory vol.21, pp.7, 2021, https://doi.org/10.1142/s0219455421500905