Structural Engineering and Mechanics

  • 제38권2호
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  • Pages.195-210
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  • 2011
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Exact dynamic stiffness matrix for a thin-walled beam-column of doubly asymmetric cross-section

  • Shirmohammadzade, A. (Sahand University of Technology) ;
  • Rafezy, B. (Sahand University of Technology) ;
  • Howson, W.P. (Cardiff School of Engineering, Cardiff University)
  • 투고 : 2010.02.08
  • 심사 : 2010.12.09
  • 발행 : 2011.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

Bernoulli-Euler beam theory is used to develop an exact dynamic stiffness matrix for the flexural-torsional coupled motion of a three-dimensional, axially loaded, thin-walled beam of doubly asymmetric cross-section. This is achieved through solution of the differential equations governing the motion of the beam including warping stiffness. The uniform distribution of mass in the member is also accounted for exactly, thus necessitating the solution of a transcendental eigenvalue problem. This is accomplished using the Wittrick-Williams algorithm. Finally, examples are given to confirm the accuracy of the theory presented, together with an assessment of the effects of axial load and loading eccentricity.

키워드

참고문헌

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피인용 문헌

  1. On triply coupled vibration of eccentrically loaded thin-walled beam using dynamic stiffness matrix method vol.62, pp.6, 2011, https://doi.org/10.12989/sem.2017.62.6.759