Axiomatic approach to the multicriteria structural optimization

Yuriy M. Pochtman; Vladislav V. Skalozub; Dmytro V. Nagornyy

Yuriy M. Pochtman Dnipropetrovsk State Technical Railway Transport University
Vladislav V. Skalozub Dnipropetrovsk State Technical Railway Transport University
Dmytro V. Nagornyy Dnipropetrovsk State Technical Railway Transport University

Abstract

The paper presents the axiomatic approach [or solving the multicriteria optimization of thin-walled structure such as vertical cylindrical reservoirs subject to pitting corrosion. The probabilities of derivation of the compromise optimal project based on MaxMin principle are investigated. The analytic dependencies for estimation of the partial criteria weighting coefficients are obtained. The project consists of the optimal thickness of reservoir shell along its height.

Keywords

References

[1] Yu.M. Pochtman, M.M. Fridman. Optimal design of pressure vessels including the effect of environment. Computer Assisted Mechanics and Engineering Science, 2(1): 19- 23, 1995.
[2] R.I. Keeney, G. Raifa. Decisions with Multiple Objectives: References and Value Trade-offs. John Wiley & Sons, New York - London - Toronto, 1976.
[3] Yu.M. Pochtman, V.V. Skalozub. Axiomatic approach to the multicriteria optimization of structures (in Russian). Izv.Ac.Sci. of USSR. Solid Mechanics, 6: 153- 156, 1984.
[4] V.V. Skalozub. Choosing the optimality principle in multicriteria structural optimization problems (in Russian). In: Modelling and Optimization of Complicated Mechanical Systems, Inst. of Cybernetics Ac.Sci. of Ukraine, Kiev, 50-55, 1990.
[5] V.V. Skalozub. Axiomatic compromises in the problems of multicriteria optimization of structures and technical systems (in R.ussian). In: Mathematical Methods in the problems of calculation and design of Complicated Mechanical Systems. Inst. of Cybernetics Ac.Sci. of Ukraine, Kiev, 62-65, 1992.