Stability Theory of Elastic Rods (Series on Stability, Vibration & Control of Systems: Series A): 1 - Hardcover

Atanackovic, Teodor

Hardcover

ISBN 10: 9810230540 ISBN 13: 9789810230548

Publisher: World Scientific Publishing Co Pte Ltd, 1997

Synopsis

This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflüger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.

About this title

Synopsis

This text treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis, as well as stability analysis, are introduced, and stability criteria for each method is developed.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 1997
• Language: English
• ISBN 10: 9810230540
• ISBN 13: 9789810230548
• Binding: Hardcover
• Number of pages: 440