1.

Record Nr.

UNINA9910132227903321

Autore

Descamps Benoît

Titolo

Computational design of lightweight structures / / Benoît Descamps

Pubbl/distr/stampa

London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014

©2014

ISBN

1-118-90882-1

1-118-90886-4

1-118-90896-1

Descrizione fisica

1 online resource (162 p.)

Collana

FOCUS : Numerical Methods in Engineering Series, , 2051-249X

FOCUS series

Disciplina

624.1

Soggetti

Structural engineering - Mathematical models

Building materials

Lightweight construction

Space frame structures - Materials

Structural design - Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Cover; Title Page; Contents; Preface; Introduction; Chapter 1. Truss Layout Optimization; 1.1. Standard theory of mathematical programming; 1.2. Governing equations of truss structures; 1.3. Layout and topology optimization; 1.3.1. Basic problem statement; 1.3.2. Problem equivalence and numerical solution; 1.4. Generalization; 1.4.1. Self-weight and multiple loading; 1.4.2. Compliance optimization; 1.4.3. Volume optimization; 1.4.4. Stress singularity; 1.4.5. Local buckling singularity; 1.5. Truss geometry and topology optimization; 1.5.1. Optimization of nodal positions

1.5.2. Melting node effect1.6. Concluding remarks; Chapter 2. Unified Formulation; 2.1. Literature review; 2.2. Disaggregation of equilibrium equations; 2.3. Minimum volume problem; 2.4. Minimum compliance problem; 2.5. Reduced formulation for single loading; 2.6. Nonlinear programming; 2.6.1. Barrier problem; 2.6.2. Sequential quadratic programming with trust regions; 2.6.3. Verification test; 2.7. Design



settings; 2.8. Concluding remarks; Chapter 3. Stability Considerations; 3.1. Literature review; 3.2. Lower bound plastic design formulation; 3.3. Nominal force method for local stability

3.4. Local buckling criterion3.5. Formulation including stability constraints; 3.6. Numerical examples; 3.6.1. Three-hinged arch; 3.6.2. L-shaped frame; 3.7. Concluding remarks; Chapter 4. Structural Design Applications; 4.1. Reticulated dome; 4.2. Lateral bracing of Winter's type column; 4.3. Arch bridge; 4.4. Suspension bridge; 4.5. Dutch Maritime Museum; Conclusions and Future Prospects; Appendix; Bibliography; Index

Sommario/riassunto

The author of this book presents a general, robust, and easy-to-use method that can handle many design parameters efficiently.Following an introduction, Chapter 1 presents the general concepts of truss layout optimization, starting from topology optimization where structural component sizes and system connectivity are simultaneously optimized. To fully realize the potential of truss layout optimization for the design of lightweight structures, the consideration of geometrical variables is then introduced.Chapter 2 addresses truss geometry and topology optimization by combining m