Analysis of Skeletal Structural Systems in the Elastic and Elastic-plastic Range (Developments in Civil Engineering S.) - Hardcover

Borkowski, Adam

Hardcover

ISBN 10: 0444989900 ISBN 13: 9780444989901

Publisher: Elsevier Science Ltd, 1988

Synopsis

The purpose of this book is to provide a smooth transition from linear elasticity through the nonlinear behaviour induced by unilateral constraints to full-scale plasticity. It presents applications of Mathematical Programming to nonlinear static analysis of skeletal structures (trusses, frames, grillages etc.). It is demonstrated that under the assumption of small displacements, a broad class of structural analysis problems exhibit the same internal structure. Such is the case with elastic analysis in the presence of unilateral supports or tension-only members, elastic-plastic analysis in both holonomic and non-holonomic formulations and, finally, ultimate load analysis. Throughout the book a clear and uniform methodology of presentation is used. First a complete set of governing relations is derived for a particular problem. Then that set is shown to be equivalent to a certain minimax problem (the saddle point problem), that in turn can be replaced by a pair of constrained extremum problems (dual MP-problems). Thus the complementary energy principles are established, furnishing the basis for the development of methods of numerical solution.

Edition details

• Publisher: Elsevier Science Ltd
• Publication date: 1988
• Language: English
• ISBN 10: 0444989900
• ISBN 13: 9780444989901
• Binding: Hardcover
• Number of pages: 232