AE 6264 - Structural Systems and Optimization

• Analyze structures with graphical methods
• Design structures with energy methods
• Optimize structural designs

• Matrix Structural Analysis

• Graphical methods for optimal layout of truss systems
• Introduction to graphical methods and reciprocal diagrams
• Optimization using forces as objective, Lenticular trusses
• Optimization using the minimum load path approach, dual structures
• Rankine’s theorem, 3D reciprocal diagrams
• Maxwell’s theorem for frame structures and its application in design
• Proof of the theorem Application to frame structures Design examples
• Michell frames
• Proof of Michell’s criterion, Derivation of Michell’s frames, Applications to structural design
• Principal stress trajectories and force flow (intuitive aspects, calculation of principal directions from the stress tensor, Mohr’s circle, application to high­rise buildings, application of principal directions in design)
• Sizing techniques for frames using energy methods (derivation of sizing equations for braced frames and moment frames, application to design problems)
• Structural systems for high­rise and long­span structures (typical lateral and gravity systems used in design and their parametric description for structural optimization)
• Topology optimization for structural design (fundamentals, derivation of sensitivities, 99­line Matlab code, voronoi meshing, applications in design, manufacturing constraints)
• Form finding of cablenets (linear and non­linear force density methods, applications to design problems)
• Advanced topics on optimal frames layouts (geometrical rules, bound/unbound cantilever problem, optimal arch) as time permits