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Nonlinear dynamics of spherical shells buckling under step pressure.

Jan Sieber1, John W Hutchinson2, J Michael T Thompson3

  • 1CEMPS, University of Exeter, Exeter EX4 4QF, UK.

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PubMed
Summary

Dynamic buckling in spherical shells is sensitive to imperfections and damping. Under rapid pressure, buckling can occur at lower thresholds than static pressure, especially with small imperfections.

Keywords:
dynamic bucklingimperfection-sensitivitynonlinear dynamicsspherical shells

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Area of Science:

  • Solid Mechanics
  • Nonlinear Dynamics
  • Structural Engineering

Background:

  • Elastic stability of spherical shells under external pressure is a critical engineering concern.
  • Understanding dynamic buckling is essential for predicting structural failure under transient loads.

Purpose of the Study:

  • To investigate the dynamic buckling of complete elastic spherical shells under step external pressure.
  • To analyze the influence of geometric imperfections and damping on dynamic buckling behavior.

Main Methods:

  • Nonlinear dynamics principles were applied to analyze buckling phenomena.
  • Axisymmetric dimple imperfections were introduced at the poles to study imperfection sensitivity.
  • The relationship between dynamic and quasi-static buckling pressures was examined.

Main Results:

  • Dynamic buckling exhibits strong imperfection sensitivity.
  • Damping significantly affects dynamic buckling through nonlinear mode interactions.
  • A cascade of buckling thresholds exists, dependent on damping and imperfection levels.
  • For small imperfections, dynamic buckling pressure can be considerably lower than quasi-static buckling pressure.

Conclusions:

  • Dynamic buckling of spherical shells is complex, influenced by imperfections and damping.
  • The study highlights the potential for lower failure pressures under dynamic loading conditions compared to static ones.
  • Precise prediction of dynamic buckling requires considering nonlinear effects, damping, and initial imperfections.