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扁壳在任意法向载荷下的极限分析

LIMIT ANALYSIS OF SHALLOW SHELLS UNDER ARBITRARY NORMAL LOADS

  • 摘要: 本文利用对偶变分原理,从极限分析上限定理导得扁壳在任意法向载荷下的极限计算变分公式,通过把扁壳划分为有限元和叠代的方法获得极限载荷的近似值,通过算例显示了这种新的变分方法是解决扁壳极限分析的有效方法,可以用来对飞行器、船舶、防护罩等结构进行极限分析,具有一定现实意义。

     

    Abstract: The variational formulations for computing the limit load of shallow shellsunder arbitrary normal load by means of duality-variational principle are presented in this paper. The numerical analysis for an example is carried out by finite element method and iteration method, which shows that the variational formulations are effective for the limit analysis of shallow shells. Hence it might be widely used to estimate the ultimate capacity of structures with shallow shell form, such as side plate of ship, bulkh...

     

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