姜开春, 王德满. 加权残数法用于光滑和加筋旋转壳的静力分析[J]. 工程力学, 1987, 4(3): 44-57.
引用本文: 姜开春, 王德满. 加权残数法用于光滑和加筋旋转壳的静力分析[J]. 工程力学, 1987, 4(3): 44-57.
Jiang Kaichun, Wang Deman. AN APPLICATION OF M.W.R TO THE STATIC ANALYSIS OF SMOOTH AND REINFORCED CIRCUIAR SHALL[J]. Engineering Mechanics, 1987, 4(3): 44-57.
Citation: Jiang Kaichun, Wang Deman. AN APPLICATION OF M.W.R TO THE STATIC ANALYSIS OF SMOOTH AND REINFORCED CIRCUIAR SHALL[J]. Engineering Mechanics, 1987, 4(3): 44-57.

加权残数法用于光滑和加筋旋转壳的静力分析

AN APPLICATION OF M.W.R TO THE STATIC ANALYSIS OF SMOOTH AND REINFORCED CIRCUIAR SHALL

  • 摘要: 本文导出了沿子午向和环向稀疏布置了加强筋的旋转壳平衡微分方程。以三次和五次B样条函数作为试函数,组成了满足一些常见的边界条件的试函数基,使得用加权残数法分析具有这些边界条件的旋转壳问题时可采用内部法。最后,给出了抛物面旋转壳的一些算例,则表明方法具有精度高、省机时、准备工作少、方法简单等优点。

     

    Abstract: A system of differential equation of a circular shell is deduced on which reinforces are fixed along meridian or circular lines With the trial function sets which are formed by 3B spline and 5B spline functions to meet some ordinary boundary conditions, one can solve such problems in the way of inner method much easier. In the end some examples of solving circular paraboloid shells are given, which shows the advantages of precision, saving time in computing, less preparation and wide application.

     

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