04421nam 2200721 450 991013222790332120230707220246.01-118-90882-11-118-90886-41-118-90896-1(CKB)3710000000093492(EBL)1650850(SSID)ssj0001211676(PQKBManifestationID)11836397(PQKBTitleCode)TC0001211676(PQKBWorkID)11206227(PQKB)10488919(OCoLC)874321906(MiAaPQ)EBC1650850(Au-PeEL)EBL1650850(CaPaEBR)ebr10849300(CaONFJC)MIL584585(EXLCZ)99371000000009349220140327h20142014 uy 0engur|n|---|||||txtccrComputational design of lightweight structures /Benoît DescampsLondon, England ;Hoboken, New Jersey :ISTE :Wiley,2014.©20141 online resource (162 p.)FOCUS : Numerical Methods in Engineering Series,2051-249XFOCUS seriesDescription based upon print version of record.1-84821-674-2 Includes bibliographical references and index.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 positions1.5.2. 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 stability3.4. 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; IndexThe 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 mFocus series in numerical methods in engineering.Focus series (London, England)Structural engineeringMathematical modelsBuilding materialsLightweight constructionSpace frame structuresMaterialsStructural designMathematicsStructural engineeringMathematical models.Building materials.Lightweight construction.Space frame structuresMaterials.Structural designMathematics.624.1Descamps Benoît989965MiAaPQMiAaPQMiAaPQBOOK9910132227903321Computational design of lightweight structures2264264UNINA