Minimizing the mass of a flat bottom of cylindrical apparatus
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2018, Vol 2, Issue 1
Abstract
<p>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…5 times 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.</p><p>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.</p>
Authors and Affiliations
Yuriy Khomyak, Ievgeniia Naumenko, Victoriia Zheglova, Vadim Popov
Keywords
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- EP ID EP527845
- DOI 10.15587/1729-4061.2018.126141
- Views 63
- Downloads 0
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