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A classification for multimode simultaneous buckling

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Publication:3823216
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DOI10.1080/02681118908806059zbMath0669.73041OpenAlexW1973398958MaRDI QIDQ3823216

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Publication date: 1989

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681118908806059


zbMATH Keywords

linear perturbationspolar coordinatespotential energy functioninitial post-buckling responseinitially stable elastic systemlocal analysis of singular responsessingle quasistatic loadTaylor-series expansion of the potentialthreefold branching of generic cubic potentials


Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)





Cites Work

  • An investigation of dual eigenvalue systems using trigonometric polynomials and differential geometry
  • Bifurcation and limit point instability of dual eigenvalue third order systems
  • Initial post-buckling behaviour of a class of elastic structural systems
  • On the imperfection sensitivity of compound branching
  • Imperfection-sensitivity of semi-symmetric branching
  • The effect of symmetry on the imperfection-sensitivity of coincident critical points




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