Structural Engineering and Mechanics

  • 제47권3호
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  • Pages.345-359
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  • 2013
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Exact solution for free vibration of curved beams with variable curvature and torsion

  • Zhu, Li-Li (School of Mechanical Engineering, Dalian Jiaotong University) ;
  • Zhao, Ying-Hua (Institute of Road and Bridge Engineering, Dalian Maritime University) ;
  • Wang, Guang-Xin (School of Mechanical Engineering, Dalian Jiaotong University)
  • 투고 : 2012.07.16
  • 심사 : 2013.07.30
  • 발행 : 2013.08.10
⟨ 이전 논문 다음 논문 ⟩

초록

For the purpose of investigating the free vibration response of the spatial curved beams, the governing equations are derived in matrix formats, considering the variable curvature and torsion. The theory includes all the effects of rotary inertia, shear and axial deformations. Frobenius' scheme and the dynamic stiffness method are then applied to solve these equations. A computer program is coded in Mathematica according to the proposed method. As a special case, the dynamic stiffness and further the natural frequencies of a cylindrical helical spring under fixed-fixed boundary condition are carried out. Comparison of the present results with the FEM results using body elements in I-DEAS shows good accuracy in computation and validity of the model. Further, the present model is used for reciprocal spiral rods with different boundary conditions, and the comparison with FEM results shows that only a limited number of terms in the resultant provide a relatively accurate solution.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation

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피인용 문헌

  1. Dynamic analysis of helicoidal bars with non-circular cross-sections via mixed FEM vol.57, pp.2, 2016, https://doi.org/10.12989/sem.2016.57.2.221
  2. Dynamic analysis of bridge girders submitted to an eccentric moving load vol.52, pp.1, 2014, https://doi.org/10.12989/sem.2014.52.1.173
  3. Solution for free vibration of spatial curved beams vol.37, pp.5, 2013, https://doi.org/10.1108/ec-03-2019-0097