扁球壳在对称线布弯矩作用下的非线性稳定性问题

Nonlinear Stability of Shallow Spherical Shells with a Symmetrically Distributed Line Moment

This paper concerns the nonlinear stability of shallow shells underthe action of uniformly distributed line moment along a circle concentricwith the shell boundary. We apply truncated monomials in representingvarious discontinuous distributions, thus making our formulation muchsimpler. Load-deflection curves are computed at successive incrementsof uniformly distributed line moment by the use of both cubic B-splineapproximation and iterative techniques. We find that bucklings neveroccur for reasonable K value shells if the radius of the loaded circle isrelatively small. We also study the limiting case in which the loadedcircle approaches the shell boundary and the results obtained are comparedwith those obtained by other authors under the action of edge moment.