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Structural Topology Optimization using Optimality Criteria Methods

In: Homogenization and Structural Topology Optimization

Author

Listed:
  • Behrooz Hassani

    (Shahroud University)

  • Ernest Hinton

    (University of Wales, Department of Civil Engineering)

Abstract

In this chapter, the basic concepts related to the optimality criteria methods are introduced. Then the mathematical model for the structural topology optimization problem is constructed. The optimality conditions are explained and an optimization procedure based on optimality criteria methods is presented. Resizing schemes for updating design variables are explained. The issue of the optimal orientation for the homogenized orthotropic material is discussed. The algorithm of the Computer program PLATO is explained and a few illustrative examples are presented.

Suggested Citation

  • Behrooz Hassani & Ernest Hinton, 1999. "Structural Topology Optimization using Optimality Criteria Methods," Springer Books, in: Homogenization and Structural Topology Optimization, chapter 4, pages 71-101, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4471-0891-7_4
    DOI: 10.1007/978-1-4471-0891-7_4
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