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Mathematical Relations for Harmonization with Technical and Decorative Casting Nature

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Scientific Journal of Riga Technical University "Boundary Field Problems and Computer Simulation", Riga, Latvia, Vol.55, 2016, pp. 44-49

_____________________________________________________________________________________________ 2016 / 55

1

Mathematical Relations for Harmonization with

Technical and Decorative Casting Nature

Volodymyr Doroshenko1, Olena Mul2, Olena Kravchenko3

1

Physico-Technological Institute of Metals and Alloys, 2

Ternopil National Ivan Puluj Technical University,

3

International Research and Training Center for Information Technologies and Systems

Abstract: We consider the optimization of the casting design in the concept of

its interaction with two fluid technological mediums, namely, the interaction of its pattern with a sandy medium and the mold - with a metal. Copying observed in nature structures in metal is proposed as a metal saving method as well as an overview of the publications on the technical castings design according to this method is done. There are shown the examples of decorative castings, in the design of which the laws of the golden ratio and Fibonacci numbers are reflected, as well as castings, produced at the Physico-Technological Institute of Metals and Alloys (Kyiv, Ukraine).

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