Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
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. (Autor:in)
01.01.1993
10 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Complementary Extremum Principles for Isoperimetric Optimization Problems
| Online Contents | 2004
The Isoperimetric Inequality via Approximation Theory and Free Boundary Problems
| British Library Online Contents | 2006
Isoperimetric problem in analytic design
| Engineering Index Backfile | 1961
Isoperimetric inequality for curves with curvature bounded below
| British Library Online Contents | 2014
Isoperimetric inequality in the periodic Greenhill Problem of twisted elastic rod
| British Library Online Contents | 2016