充内压截头圆锥壳的极限分析

本文使用Drucker的基本方法川，研究了充均匀内压截头圆锥壳的极限承载能力问题，在单矩弱作用极限条件下，获得了问题的完全解，所得极限载荷不大于用能量法〔2〕分析的结果，并与现有的实验数据〔3〕相符合。本文借助于计算机，通过直接解代数方程来确定负铰圆坐标参数ry，从而指出了参考文献〔3〕中近似计算式的局限性。另外本文还使用一种下限极限曲面〔4〕，求得了截头圆锥壳的实际极限内压力的下限。

PLASTIC LIMIT ANALYSIS OF A FRUSTUM OF CONICAL SHELL UNDER INTERNAL UNIFORM PRESSURE

The problem of limit carrying capacity for a frustum of comical shell under internal uniform pressufre is studied by using the basic method developed by D.C.Drucker and R.T.Shield1] in this article, and according to an one moment limited interaction yield surface the complete solution is obtained，which is not more than the solution obtained by means of the energy ,method2]，and is verified by experimental data provided by paperL3].with the help of a microcomputer，coordinate parameters for determining unknown negative hinge circle positions are found by solving directly the algebraic equations，and the results obtained in this way are not in good agreement with those obtained by the approximate equation of paperf3l .On the other hand，the lower bound of true limit pressure for this frustum of conical shell is found according to a kind of inscribed limited interaction yield surface4].