Examples of Optimization of Discrete Parameter Systems

  • Peter W. Christensen
  • Anders Klarbring
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 153)
The following chapter gives some examples of the general optimization problem (SO) introduced in the previous chapter. They all concern the problem of finding the cross-sectional areas of bars or beams, i.e. they are sizing problems. The list of such examples is the following:
  1. 1.

    Minimization of the weight of a two-bar truss subject to stress constraints.

     
  2. 2.

    Minimization of the weight of a two-bar truss subject to stress and instability constraints.

     
  3. 3.

    Minimization of the weight of a two-bar truss subject to stress and displacement constraints.

     
  4. 4.

    Minimization of the weight of a two-beam cantilever subject to a displacement constraint.

     
  5. 5.

    Minimization of the weight of a three-bar truss subject to stress constraints.

     
  6. 6.

    Minimization of the weight of a three-bar truss subject to a stiffness constraint.

     
A simple example of combined shape and sizing optimization of a two-bar truss is given in Exercise 2.5. Despite their simplicity, it turns out that these problems display several general features of structural optimization problems.

Keywords

Lution Rium 

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Copyright information

© Springer Science + Business Media B.V. 2009

Authors and Affiliations

  • Peter W. Christensen
    • 1
  • Anders Klarbring
    • 1
  1. 1.Division of MechanicsLinköping UniversityLinköpingSweden

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