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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
Article

Abstract

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.

Keywords

Thermal Conductivity Initial Data Variable Parameter Composite Plate Optimal Pareto Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A. Soliro, C. Antonio, and T. Marques, Optimization of composite materials using reliability, Structural Optimization 93. World Congress on Optimal Design of Structural Systems, Proceedings, Vol. 1, (1993), pp. 343–352.Google Scholar
  2. 2.
    G. A. Teters and A. F. Kregers, “Problems of the nonlinear mechanics of composites. A review,” Mekh. Kompoz. Mater.,29, No. 1, 50–60 (1993).Google Scholar
  3. 3.
    A. F. Kregers, G. A. Teters, Yu. G. Melbardis, and A. Zh. Lagzdin', “Characteristics of the four-dimensional normal property distribution of a composite subjected to stochastic compromise optimization,” Mekh. Kompoz. Mater.,32, No. 5, 625–635 (1996).Google Scholar
  4. 4.
    A. Porri, E. Speranzini, and R. Vetturini, Reliability based multicriteria optimal design: an application to composite material structures, Structural Optimization 93. The World Congress on Optimal design of Structural Systems. Proceedings, Vol. 1, (1993), pp. 449–456.Google Scholar
  5. 5.
    G. A. Teters and A. F. Kregers, “Multipurpose optimal design of composite structures. A review,” Mekh. Kompoz. Mater.,32, No. 3, 363–376 (1996).Google Scholar
  6. 6.
    Yu. G. Melbardis, A. F. Kregers, and G. A. Teters, “Probability of the realization (with allowance for constraints) of a compromise design of a laminar composite plate,” Mekh. Kompoz. Mater.,30, No. 3, 391–397 (1994).Google Scholar
  7. 7.
    A. F. Kregers and M. F. Rektin', “Analysis of the shape of the multidimensional property domain of an optimized composite,” Mekh. Kompoz. Mater., No. 5, 876–884 (1991).Google Scholar
  8. 8.
    A. F. Kregers, Yu. G. Melbardis, and M. F. Rektin'sh, “Multipurpose optimization of the elastic and thermotechnical properties of fibrous composites,” Mekh. Kompoz. Mater., No. 1, 37–47 (1990).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • G. A. Teters
  • A. F. Kregers

There are no affiliations available

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