ГЕОМЕТРИЯ И СТАТИЧЕСКИЙ РАСЧЕТ ТОНКИХ ОБОЛОЧЕК С ЛИНЕЙЧАТЫМИ СРЕДИННЫМИ ПОВЕРХНОСТЯМИ С ГЛАВНЫМ КАРКАСОМ ИЗ ТРЕХ СУПЕРЭЛЛИПСОВ

Abstract

The possibility of generating three different translational surfaces of velarodial type by having the same main frame of the surface is proved and illustrated. Using these three different ruled surfaces as middle surfaces of thin shells allows to extend the number of architectural forms in construction practice. Static analysis of the shells with the middle surfaces under consideration is performed using the SCAD standard finite element software. The results of the analysis of different ruled shells with oval-shaped base, but of the same main frame, imply that the stress, moment and displacement distributions are almost identical in two of the three shells. Moreover, it is established that the Gaussian curvature of these two shells is negative, and is zero in the third one. Therefore, there is no sense in determining the optimal shell in terms of strength out of the two shells with negative Gaussian curvature. Rather, these two shells may be evaluated based on another criterion, for example, complexity of manufacturing.