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Isoperimetric Inequalities in Stability Problems
Summary The isoperimetric inequalities for the problem of determining the shape of a compressed column that has minimum weight and can withstand a given load, without loss of stability are treated. Two new isoperimetric inequalities, arizing in the problems of stability optimization, are proved: 1) the optimal column has the largest buckling load among all the columns with the same weight and clamped ends; 2) the optimal generalized Pfluger column has the largest buckling load among all generalized Pfluger columns with the same weight.
Isoperimetric Inequalities in Stability Problems
Summary The isoperimetric inequalities for the problem of determining the shape of a compressed column that has minimum weight and can withstand a given load, without loss of stability are treated. Two new isoperimetric inequalities, arizing in the problems of stability optimization, are proved: 1) the optimal column has the largest buckling load among all the columns with the same weight and clamped ends; 2) the optimal generalized Pfluger column has the largest buckling load among all generalized Pfluger columns with the same weight.
Isoperimetric Inequalities in Stability Problems
Kobelev, V. V. (author)
1993-01-01
10 pages
Article/Chapter (Book)
Electronic Resource
English
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