Structural Optimization: Fundamentals and Applications

摘要: 1 Problem Statement.- 1.1 Introduction.- 1.1.1 Automated Structural Optimization.- 1.1.2 Optimization Methods.- 1.1.3 Historical Perspective.- 1.1.4 Scope of Text.- 1.2 Analysis Models.- 1.2.1 Elastic Analysis.- 1.2.2 Plastic 1.3 General Formulation.- 1.3.1 Design Variables.- 1.3.2 Constraints.- 1.3.3 Objective Function.- 1.3.4 Mathematical 1.4 Typical Formulations.- 1.4.1 Displacement Method 1.4.2 Force Exercises.- 2 2.1 Concepts.- 2.1.1 Unconstrained Minimum.- 2.1.2 Constrained 2.2 Minimization.- 2.2.1 Minimization Along a Line.- 2.2.2 Functions Several 2.3 Minimization: Linear Programming.- 2.3.1 2.3.2 2.3.3 Solution.- 2.3.4 Further Considerations.- 2.4 Nonlinear 2.4.1 Sequential 2.4.2 The Feasible Directions.- 2.4.3 Other 3 Approximation 3.1 Approximations.- 3.1.1 Sensitivity 3.1.2 Intermediate 3.1.3 3.2 Approximate Behavior 3.2.1 Basic 3.2.2 Combined 3.2.3 Homogeneous Functions.- 3.2.4 Approximations along 3.2.5 4 Procedures.- 4.1 Programming 4.1.1 Design.- 4.1.2 4.2 Feasible-Design 4.2.1 4.2.2 in Planes.- 4.3 Optimality Criteria 4.3.1 Stress Criteria.- 4.3.2 4.3.3 4.3.4 Relationship Between OC and MP.- 4.4 Multilevel Optimal 4.4.1 4.4.2 Two-Level Prestressed Concrete Systems.- 4.4.3 Indeterminate 4.5 Control.- 4.5.1 Control Structures.- 4.5.2 Improved by 4.6 Geometrical 4.6.1 Simultaneous Geometry Cross Sections.- 4.6.2 4.7 Topological 4.7.1 4.7.2 Types Topologies.- 4.7.3 Properties 4.7.4 Two-Stage 4.8 Interactive Layout 4.8.1 Programs.- 4.8.2 Graphical Interaction 4.8.3 Procedure.- References.