Abstract
This study deals with the axisymmetric static and dynamic buckling of elastic polar orthotropic thin shallow conical caps subjected to uniformly distributed loads. Static and step function conservative loadings on conical caps with clamped immovable, simply supported immovable, and simply supported movable edges have been considered. The governing equations are formulated in terms of normal displacement w and stress function i//. Orthogonal point collocation method is used for spatial discretization and Newmark-/? scheme is used for time marching. The present results for the isotropic clamped immovable conical caps are in good agreement with the available results. The influence of orthotropic parameter /? and the edge conditions on the static and dynamic buckling loads has been investigated. Dynamic buckling loads obtained from static analysis have been found to agree well with the dynamic buckling loads based on transient response.
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