Mechanics of Composite Materials

, Volume 33, Issue 5, pp 441–448 | Cite as

Compromise optimization of a composite plate with a given probability of realization

  • G. A. Teters
  • A. F. Kregers


A method is proposed for solution of the problem of the compromise optimization of three properties of a composite plate (thermal conductivity, stability, and the probability P* of design realization), which depend on three initial stochastic data with constant average values, and two variable initial data. The geometry of the domain of plate properties, the curve of optimal Pareto solutions, and the scatter ellipses is determined at four points for a given range of variable parameters. A method of constructing the curves of optimal Pareto solutions for the following assigned probabilities of design realization is proposed and numerically implemented: P*=0.40, 0.80, and 0.95. The generalized efficiency function ΦΣΣ → max, 0 ≤ ΦΣ ≤ 1) of the first two properties decreases from 0.74 to 0.23 as the numerical value of P* increases from 0.40 to 0.95. A family of isolines ΦΣ = const is plotted for all three properties investigated, and max ΦΣ determined as 0.63.


Thermal Conductivity Initial Data Variable Parameter Composite Plate Optimal Pareto Solution 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • G. A. Teters
  • A. F. Kregers

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