Determining the rational thickness of a prefabricated dome made of a finite number of spherical shells
DOI:
https://doi.org/10.52340/building.2025.71.12Keywords:
cylindrical shell, optimal designs, iterative process, internal pressure, elasticityAbstract
The problem of calculating a prefabricated dome, the thickness of which is selected in such a way that the maximum deflection is equal to a predetermined value, is considered. The geometry of the structures and the nature of the acting load determine the involvement of the mathematical apparatus of constructing discontinuous integrals of differential equations in solving the problem. An algorithm for solving the problem is constructed, including two nested iterative processes. The problem is solved both for a prefabricated dome and for a corresponding round slab. A specific example shows the efficiency in terms of material savings of using flat prefabricated domes, compared to flat slabsDownloads
References
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