Abstract
An important characteristic of membranes is that they cannot support compressive stresses since they have almost zero bending rigidity. Therefore, when compressive stresses exist in a membrane structure, wrinkling occurs. In this paper, four examples of wrinkling on membrane structures of revolution are analyzed as a bifurcation buckling problem by using conical frustum finite elements considering geometrical nonlinearity. Post-wrinkling behavior is examined by following bifurcation paths. Illustrative examples are l)a hemispherical shell under meridional tension, 2)a spherical shell under external pressure, 3)an inflated membrane of ellipsoid and 4)a circular membrane under inplane torsion. In the circular membrane, results obtained by using quadrilateral elements and Mikulas's theoretical solution are also shown in order to discuss their applicability to the analysis of wrinkling.
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