Analysis of skeletal structural systems in the elastic and elastic-plastic range
著者
書誌事項
Analysis of skeletal structural systems in the elastic and elastic-plastic range
（Developments in civil engineering, 20）
Elsevier, 1988
- タイトル別名
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Statyczna układów prętowych w zakresach sprężystem i plastycznym
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注記
Translation of: Statyczna analiza układów prętowych w zakresach sprężystym i plastycznym
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
Chapter I. Elements of Linear Algebra and Mathematical Programming. II. Elements of Continuum Mechanics. III. Differential Description of an Element. IV. Discrete Description of an Element. V. Discrete Description of a Structure. VI. Elastic Analysis. VII. Elastic-Plastic Analysis. VIII. Ultimate Load Analysis. References. Appendices. Index.
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