Advances in aircraft and spacecraft science

  • 제1권3호
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  • Pages.253-271
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  • 2014
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  • 2287-528X(pISSN)
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  • 2287-5271(eISSN)
테크노프레스 (Techno-Press)
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Hierarchical theories for a linearised stability analysis of thin-walled beams with open and closed cross-section

  • 투고 : 2013.12.09
  • 심사 : 2014.01.14
  • 발행 : 2014.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

A linearised buckling analysis of thin-walled beams is addressed in this paper. Beam theories formulated according to a unified approach are presented. The displacement unknown variables on the cross-section of the beam are approximated via Mac Laurin's polynomials. The governing differential equations and the boundary conditions are derived in terms of a fundamental nucleo that does not depend upon the expansion order. Classical beam theories such as Euler-Bernoulli's and Timoshenko's can be retrieved as particular cases. Slender and deep beams are investigated. Flexural, torsional and mixed buckling modes are considered. Results are assessed toward three-dimensional finite element solutions. The numerical investigations show that classical and lower-order theories are accurate for flexural buckling modes of slender beams only. When deep beams or torsional buckling modes are considered, higher-order theories are required.

키워드

참고문헌

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피인용 문헌

  1. Linearized buckling analysis of isotropic and composite beam-columns by Carrera Unified Formulation and dynamic stiffness method vol.23, pp.9, 2016, https://doi.org/10.1080/15376494.2015.1121524
  2. Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature vol.171, 2017, https://doi.org/10.1016/j.compstruct.2017.03.053
  3. Torsional flexural steady state response of monosymmetric thin-walled beams under harmonic loads vol.52, pp.4, 2014, https://doi.org/10.12989/sem.2014.52.4.787
  4. Data-driven approach for a one-dimensional thin-walled beam analysis vol.231, pp.None, 2014, https://doi.org/10.1016/j.compstruc.2020.106207