MINIMIZING THE MASS OF A FLAT BOTTOM OF CYLINDRICAL APPARATUS
| Autor: | Victoriia Zheglova, Yuriy Khomyak, Ievgeniia Naumenko, Vadim Popov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Materials science
contact between a shell and a round plate Differential equation Energy Engineering and Power Technology Variable thickness 020101 civil engineering 02 engineering and technology Industrial and Manufacturing Engineering 0201 civil engineering Physics::Fluid Dynamics bottom of variable thickness 0203 mechanical engineering Management of Technology and Innovation lcsh:Technology (General) lcsh:Industry hypergeometric Kummer’s function hypergeometric Kummer's function Electrical and Electronic Engineering Gauss equation Applied Mathematics Mechanical Engineering Mechanics Radial direction Finite element method Computer Science Applications 020303 mechanical engineering & transports Control and Systems Engineering lcsh:T1-995 lcsh:HD2321-4730.9 Wall thickness |
| Zdroj: | Eastern-European Journal of Enterprise Technologies, Vol 2, Iss 1 (92), Pp 42-50 (2018) |
| Popis: | In the bodies of cylindrical apparatuses that operate under pressure, one of the weak elements is a flat bottom whose thickness is increased by 4…5times in comparison with the wall thickness. This is due to the fact that the bottom is exposed to a more unfavorable bending deformation compared to the wall that «works» on stretching. In order to reduce specific metal consumption for the bottom, we propose the optimization of the shape of a radial cross-section by a rational redistribution of the material: to increase thickness of the bottom in the region of its contact with the wall and to significantly reduce it in the central zone. To describe a variable thickness of the bottom, we applied the Gauss equation with an arbitrary parameter that determines the intensity of change in the thickness in radial direction. We have obtained a general solution to the differential equation of the problem on bending a bottom at a given law of change in its thickness, which is represented using the hypergeometric Kummer’s functions. A technique for concretizing the resulting solution was proposed and implemented, based on the application of conditions of contact between a cylindrical shell and a bottom. The solution derived was used to minimize the mass of the bottom. We have designed a zone of transition from the bottom to the wall whose strength was verified by the method of finite elements under actual conditions |
| Databáze: | OpenAIRE |
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