A simplified stability theory of general shells

The equilibrium equations of a shell are first expressed in a set of orthogonal frames the orientation of which changes along the coordinate curves, taken as the principal curvatures. Then using the Euler approach and considering adjacent equilibrium states near the critical state, a set of compact...

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Veröffentlicht in:International journal of solids and structures 1989, Vol.25 (3), p.235-248
Hauptverfasser: Farshad, Mehdi, Tabarrok, Behrouz
Format: Artikel
Sprache:eng
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Zusammenfassung:The equilibrium equations of a shell are first expressed in a set of orthogonal frames the orientation of which changes along the coordinate curves, taken as the principal curvatures. Then using the Euler approach and considering adjacent equilibrium states near the critical state, a set of compact vector equations are derived for the stability of general shells. The effects of shear deformations, local rotations, and motion-dependent forces are conveniently taken into account in this approach. Pertinent equations for shells of specific geometry are easily derived from the general equations presented here. By way of illustration, the governing equations for stability of cylindrical shells are obtained from the general equations. These equations in their general form, and in their special form for plates, contain the effects of local rotations as well as the other types of classical shell deformations. They can therefore, be used for the in-plane instability analysis of composite plates, shells and/or gridworks and also for the analysis of membranal buckling of shells. By way of illustration, this new feature is utilized in the development of a continuum model for gridwork instability.
ISSN:0020-7683
1879-2146
DOI:10.1016/0020-7683(89)90046-2