Structural Engineering and Mechanics

  • 제35권5호
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  • Pages.555-570
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  • 2010
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Energy approach for dynamic buckling of shallow fixed arches under step loading with infinite duration

  • Pi, Yong-Lin (School of Civil and Environmental Engineering, Faculty of Engineering and Information Technology, University of Technology) ;
  • Bradford, Mark Andrew (School of Civil and Environmental Engineering, Faculty of Engineering and Information Technology, University of Technology) ;
  • Qu, Weilian (Key Laboratory of Roadway Bridge and Structural Engineering, Wuhan University of Technology)
  • 투고 : 2009.02.02
  • 심사 : 2010.02.23
  • 발행 : 2010.07.30
⟨ 이전 논문 다음 논문 ⟩

초록

Shallow fixed arches have a nonlinear primary equilibrium path with limit points and an unstable postbuckling equilibrium path, and they may also have bifurcation points at which equilibrium bifurcates from the nonlinear primary path to an unstable secondary equilibrium path. When a shallow fixed arch is subjected to a central step load, the load imparts kinetic energy to the arch and causes the arch to oscillate. When the load is sufficiently large, the oscillation of the arch may reach its unstable equilibrium path and the arch experiences an escaping-motion type of dynamic buckling. Nonlinear dynamic buckling of a two degree-of-freedom arch model is used to establish energy criteria for dynamic buckling of the conservative systems that have unstable primary and/or secondary equilibrium paths and then the energy criteria are applied to the dynamic buckling analysis of shallow fixed arches. The energy approach allows the dynamic buckling load to be determined without needing to solve the equations of motion.

키워드

참고문헌

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피인용 문헌

  1. Analytical and experimental studies on out-of-plane dynamic instability of shallow circular arch based on parametric resonance vol.87, pp.1, 2017, https://doi.org/10.1007/s11071-016-3068-7
  2. Non-linear in-plane analysis and buckling of pinned–fixed shallow arches subjected to a central concentrated load vol.47, pp.4, 2012, https://doi.org/10.1016/j.ijnonlinmec.2012.04.006
  3. Nonlinear analysis and buckling of shallow arches with unequal rotational end restraints vol.46, 2013, https://doi.org/10.1016/j.engstruct.2012.08.008
  4. Nonlinear elastic analysis and buckling of pinned–fixed arches vol.68, 2013, https://doi.org/10.1016/j.ijmecsci.2013.01.018
  5. Nonlinear Equilibrium and Buckling of Fixed Shallow Arches Subjected to an Arbitrary Radial Concentrated Load vol.17, pp.08, 2017, https://doi.org/10.1142/S0219455417500821
  6. Effects of approximations on non-linear in-plane elastic buckling and postbuckling analyses of shallow parabolic arches vol.101, 2015, https://doi.org/10.1016/j.engstruct.2015.07.008
  7. Nonlinear dynamic buckling of shallow circular arches under a sudden uniform radial load vol.331, pp.18, 2012, https://doi.org/10.1016/j.jsv.2012.04.015
  8. Multiple unstable equilibrium branches and non-linear dynamic buckling of shallow arches vol.60, 2014, https://doi.org/10.1016/j.ijnonlinmec.2013.12.005
  9. Nonlinear dynamic buckling of pinned–fixed shallow arches under a sudden central concentrated load vol.73, pp.3, 2013, https://doi.org/10.1007/s11071-013-0863-2
  10. In-plane stability of preloaded shallow arches against dynamic snap-through accounting for rotational end restraints vol.56, 2013, https://doi.org/10.1016/j.engstruct.2013.07.020
  11. Stability of a half-sine shallow arch under sinusoidal and step loads in thermal environment vol.15, pp.8, 2018, https://doi.org/10.1590/1679-78254607
  12. Static and dynamic symmetric snap-through of non-uniform shallow arch under a pair of end moments considering critical slowing-down effect vol.233, pp.16, 2010, https://doi.org/10.1177/0954406219855105