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Using FORM for Minimizing the Uncertain Cost of Structural Designs

In: Risk and Reliability Analysis: Theory and Applications

Author

Listed:
  • Terje Haukaas

    (University of British Columbia)

  • Stevan Gavrilovic

    (University of British Columbia)

Abstract

This chapter demonstrates the use of the first-order reliability method (FORM) for minimizing expected cost, when the cost is a continuously differentiable function of many random variables and models. The models include construction cost and cost of damage, and typically a finite element model. Assuming these costs are non-negative, the expected cost is the area underneath the complementary cumulative distribution function on the positive cost axis. Points on this distribution function are determined by FORM and numerical integration is employed to calculate the area. Exact derivatives of responses and costs with respect to random variables are propagated through the models and used in FORM. Moreover, exact derivatives of responses and costs with respect to design variables are propagated through FORM in order to have exact derivatives of the expected cost available in the optimization analysis. This framework for minimizing expected cost is implemented in a computer program and illustrated by means of a demonstration example.

Suggested Citation

  • Terje Haukaas & Stevan Gavrilovic, 2017. "Using FORM for Minimizing the Uncertain Cost of Structural Designs," Springer Series in Reliability Engineering, in: Paolo Gardoni (ed.), Risk and Reliability Analysis: Theory and Applications, pages 303-314, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-319-52425-2_13
    DOI: 10.1007/978-3-319-52425-2_13
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