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力学学报  1994 

THE STRICT COMPLEMENTARY EXTREMUM-SADDLE POINT THEOREM IN NONLINEAR PROBLEMS
非线性问题严格互补极点-鞍点定理

Keywords: nonlinear problem,complementary variational principle,saddle theorem
非线性
,鞍点定理,结构力学

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Abstract:

The strict complementary extremum-saddle point theorem for two prob-lems of new nonlinear form are obtained,and the generality and effectiveness for secondvariation-convex analysis method suggested are demonstrated in this paper.The first prob-lem is rotating tubro impeller,and by introducing the periodic free surface variable we obtainall complementary variational principles.The second problem is non K-L shell with rotaryvaridfble having specific nonlinear geometrical property,and we establish the comple...

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