| 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   (  max, 0  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 = const is plotted for all three properties investigated, and max determined as 0.63.A paper presented at the Tenth International Conference on Mechanics of Composite Materials (Riga, April 1998).Institute of Polymer Mechanics, Riga, Latvia. Translated from Mekhanika Kompozitnykh Materialov, Vol. 33, No. 5, pp. 626–635, September–October, 1997. |
