Focus : Computational Design of Lightweight Structures: Form Finding and Optimization.
Title:
Focus : Computational Design of Lightweight Structures: Form Finding and Optimization.
Author:
Descamps, Benoit.
ISBN:
9781118908969
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (162 pages)
Series:
FOCUS
Contents:
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 effect -- 1.6. 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 criterion -- 3.5. 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.
Abstract:
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 mathematical programming and structural mechanics: the structural properties of the optimal solution are used for devising the novel formulation. To avoid singularities arising in optimal configurations, this approach disaggregates the equilibrium equations and fully integrates their basic elements within the optimization formulation. The resulting tool incorporates elastic and plastic design, stress and displacement constraints, as well as self-weight and multiple loading. The inherent slenderness of lightweight structures requires the study of stability issues. As a remedy, Chapter 3 proposes a conceptually simple but efficient method to include local and nodal stability constraints in the formulation. Several numerical examples illustrate the impact of stability considerations on the optimal design. Finally, the investigation on realistic design problems in Chapter 4 confirms the practical applicability of the proposed method. It is shown how we can generate a range of optimal designs by varying design settings.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Genre:
Electronic Access:
Click to View