Stress-deformed state of vertical cylindrical metal shell under temperature climate impact

Abstract

There are continued the previous executed researches of the tense-deformed condition of a vertical metal thin cylindrical shell under temperature climatic influences in this work. So, in [1] the temperature climatic influences on cylindrical metal shells are investigated, in [2] the parameters of the elastic base simulating the wheat repulse are investigated, in [3] the tense-deformed condition of a shell on the elastic base with piecewise-constant is investigated, and in [4] with a piecewise-linear Winkler coefficient for axisymmetric cooling of the shell. The tense-deformed condition of a vertical cylindrical thin-wall shell lies on a piecewise-constant elastic base under non-axisymmetric temperature climatic influences has been studied in the present study on the basis of membrane theory of shells and a simple edge effect. The decision is received in the Fourier series, containing in the general case of heating-cooling the shell, ten members of the Fourier series.