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scientific edition of Bauman MSTU

SCIENCE & EDUCATION

Bauman Moscow State Technical University.   El № FS 77 - 48211.   ISSN 1994-0408

Spline Approximation-Based Optimization of Multi-component Disperse Reinforced Composites

# 02, February 2015
DOI: 10.7463/0215.0757079
Article file: SE-BMSTU...o233.pdf (1103.58Kb)
authors: Yu.I. Dimitrienko, A.N. Drogolyub, E.A. Gubareva

The paper suggests an algorithm for solving the problems of optimal design of multicomponent disperse-reinforced composite materials, which properties are defined by filler concentrations and are independent of their shape. It formulates the problem of conditional optimization of a composite with restrictions on its effective parameters - the elasticity modulus, tension and compression strengths, and heat-conductivity coefficient with minimized composite density. The effective characteristics of a composite were computed by finite-element solving the auxiliary local problems of elasticity and heat-conductivity theories appearing when the asymptotic averaging method is applied.
The algorithm suggested to solve the optimization problem includes the following main stages:
1) finding a set of solutions for direct problem to calculate the effective characteristics;
2) constructing the curves of effective characteristics versus filler concentrations by means of approximating functions, which are offered for use as a thin plate spline with smoothing;
3) constructing a set of points to satisfy restrictions and a boundary of the point set to satisfy restrictions obtaining, as a result, a contour  which can be parameterized;
4) defining a global density minimum  over the contour through psi-transformation.
A numerical example of solving the optimization problem was given for a disperse-reinforced composite with two types of fillers being hollow microspheres: glass and phenolic. It was shown that the suggested algorithm allows us to find optimal filler concentrations efficiently enough.

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