Non-Classical Problems in the Theory of Elastic Stability [Paperback]

Presents techniques for stability analysis based on the probabilistic theory of stability or 'anti-optimization' theory.When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft and automobiles. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text: the probabilistic theory of stability, with emphasis on reliability, and the alternative based on the notion of anti-optimization, a theory valid when the necessary information for probabilistic analysis is absent. Design engineers, researchers, and graduate students concerned with issues of structural integrity will find this book a useful reference source.When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft and automobiles. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text: the probabilistic theory of stability, with emphasis on reliability, and the alternative based on the notion of anti-optimization, a theory valid when the necessary information for probabilistic analysis is absent. Design engineers, researchers, and graduate students concerned with issues of structural integrity will find this book a useful reference source.When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. This important work discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in reall“8