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环形板的非轴对称屈曲分析
引用本文:程昌钧,段薇.环形板的非轴对称屈曲分析[J].力学学报,1990,22(4):473-478.
作者姓名:程昌钧  段薇
作者单位:上海大学上海应用数学和力学所力学系, 200072
摘    要:本文利用打靶法研究了内外边界固支且在外边界受均匀径向压力作用下的极正交各向异性环形板的非轴对称屈曲和过屈曲,计算了临界载荷,讨论了分支解的存在性,得到了分支解的渐近表达式,分析了环形板的屈曲性态。

关 键 词:环形    非对称  屈曲  打靶洪

NON-AXISYMMETRIC BUCKLING ANALYSIS OF AN ANNULAR PLATE
Abstract:The non-axisymmetric buckling and post-buckling of a polar orthotropic annular plate whose edges are clamped and its outer edge w subjected to a uniform radial compres-sive force is analysed by using a shooting method. Eigenvalues are calculated and the existence of bifurcation solutions is discussed. The asymptotic fomulse of the bifurcation solutions are obtained aad the buckling behaviour of the annular plate is analysed.
Keywords:non-axisymmetric buckling  post-buckling  shooting method
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