Constrained Optimization

  • Raphael T. Haftka
  • Zafer Gürdal
Part of the Solid Mechanics And Its Applications book series (SMIA, volume 11)


Most problems in structural optimization must be formulated as constrained minimization problems. In a typical structural design problem the objective function is a fairly simple function of the design variables (e.g., weight), but the design has to satisfy a host of stress, displacement, buckling, and frequency constraints. These constraints are usually complex functions of the design variables available only from an analysis of a finite element model of the structure. This chapter offers a review of methods that are commonly used to solve such constrained problems.


Design Variable Lagrange Multiplier Penalty Function Inequality Constraint Quadratic Programming Problem 
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Copyright information

© Springer Science+Business Media Dordrecht 1992

Authors and Affiliations

  • Raphael T. Haftka
    • 1
  • Zafer Gürdal
    • 2
  1. 1.Department of Aerospace and Ocean EngineeringVirginia Polytechnic Institute and State UniversityBlacksburgUSA
  2. 2.Department of Engineering Science and MechanicsVirginia Polytechnic Institute and State UniversityBlacksburgUSA

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