Teaching GuideTerm
Higher Technical University College of Civil Engineering
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Mestrado Universitario en Enxeñería de Camiños, Canais e Portos
 Subjects
  Structural Optimization
   Contents
Topic Sub-topic
Introduction to optimum design Conventional design methods.
Concepts associated with design: Fixed and variable factors. The quality of design.
Formulation of the optimum design: Design variables. Design constraints. Objective functions.
Historical evolution of optimal design.
Application of Kuhn-Tucker conditions.
Optimization of simple elements.
Linear programming Simplex method: Primal and dual formulation
Limit analysis of structures formulated as linear programming problems
Prestressed concrete design by linear programming
Unconstrained optimization Extrema of single variable functions.
Extrema of n-variable functions.
Zero order methods: Conjugate directions method
First order methods: Gradient-based methods
Second order methods: Newton method
Constrained optimization Penalty methods
Method of feasible directions
Sequence of linear problems
Sequence of quadratic problems
Sensitivity analysis Sensitivity analysis: Order and types
Direct methods
Adjoint variable methods
Sensitivity analyses of stresses
Sensitivity analyses of displacements
Sensitivity analyses of truss structures
Sensitivity analyses of frames
Computer codes of structural optimization. Structural applications Introduction to MSC/Nastran Sol 200
Applications of structural optimization
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