Structural Engineering and Mechanics

  • 제8권3호
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  • Pages.257-272
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  • 1999
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Out of plane vibrations of thin-walled curved beams considering shear flexibility

  • Cortinez, V.H. (Mechanical Systems Analysis Group, Universidad Tecnologica Nacional) ;
  • Piovan, M.T. (Mechanical Systems Analysis Group, Universidad Tecnologica Nacional) ;
  • Rossi, R.E. (Department of Engineering, Universidad Nacional del Sur)
  • 발행 : 1999.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper a simple finite element is proposed for analyzing out of plane vibration of thin walled curved beams, with both open and closed sections, considering shear flexibility. The present element is obtained from a variational formulation governing the dynamics of a three-dimensional elastic body in which the stress tensor as well as the displacements are variationally independent. The element has two nodes with four degrees of freedom in each. Numerical examples for the first six frequencies are performed in order to assess the accuracy of the finite element formulation and to show the influence of the shear flexibility on the dynamics of the member.

키워드

참고문헌

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피인용 문헌

  1. Natural frequencies of thin-walled curved beams vol.42, pp.13, 2006, https://doi.org/10.1016/j.finel.2006.05.002
  2. Free Vibration Analysis of Non-symmetric Thin-Walled Curved Beams with Shear Deformation vol.7, pp.4, 2003, https://doi.org/10.5000/EESK.2003.7.4.001
  3. OUT-OF-PLANE VIBRATIONS OF SHEAR DEFORMABLE CONTINUOUS HORIZONTALLY CURVED THIN-WALLED BEAMS vol.237, pp.1, 2000, https://doi.org/10.1006/jsvi.2000.3055
  4. Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum vol.19, pp.5, 2002, https://doi.org/10.1108/02644400210435843
  5. VIBRATION AND BUCKLING OF COMPOSITE THIN-WALLED BEAMS WITH SHEAR DEFORMABILITY vol.258, pp.4, 2002, https://doi.org/10.1006/jsvi.2002.5146
  6. Mechanics of thin-walled curved beams made of composite materials, allowing for shear deformability vol.45, pp.9, 2007, https://doi.org/10.1016/j.tws.2007.06.005
  7. Free vibration and elastic analysis of shear-deformable non-symmetric thin-walled curved beams: A centroid-shear center formulation vol.21, pp.1, 2005, https://doi.org/10.12989/sem.2005.21.1.019
  8. Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) vol.17, pp.3, 2000, https://doi.org/10.1108/02644400010324893
  9. Spatial free vibration of shear deformable circular curved beams with non-symmetric thin-walled sections vol.276, pp.1-2, 2004, https://doi.org/10.1016/j.jsv.2003.07.036
  10. Thin-walled curved beam theory based on centroid-shear center formulation vol.19, pp.2, 2005, https://doi.org/10.1007/BF02916181
  11. Exact dynamic stiffness matrix of non-symmetric thin-walled curved beams subjected to initial axial force vol.284, pp.3-5, 2005, https://doi.org/10.1016/j.jsv.2004.07.006
  12. The dynamics of thick curved beams constructed with functionally graded materials vol.37, pp.6, 2010, https://doi.org/10.1016/j.mechrescom.2010.07.007