【摘要】 本文讨论了圆底扁球壳在对称线布湾矩作用下的非线性稳定性问题。文中,通过引入一组截断单项式与逐级迭代法,克服了由于弯矩突变以及非线性较强所引起的求解困难,从而得到了各种K值时,壳体轴对称屈曲的临界荷载。另外,还对线布弯矩作用半径趋于壳体边缘时的极限情况进行了详细计算,对于周边筒支的扁球壳,其结果表明:当K≤22时与其他作者在边缘弯矩作用下的结果一致。而当K>22直至400仍然得到了收敛良好的结果。更多还原

【Abstract】 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.更多还原