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Development of mathematical models for evaluating options for erection of inverted roofs

Abstract

Development of mathematical models for evaluating options for erection of inverted roofs

Egorov A.N., Tugushev A.A.

Incoming article date: 08.02.2023

The technology of erecting inverted green roof in exploited roofs is becoming increasingly relevant in modern construction in accordance with the principles of sustainable development and energy efficiency. However, the theoretical support for the design and construction of an inverted roof is still not enough – there is no comprehensive analysis of the roof structure, which would comprehensively take into account various criteria. The study developed mathematical models of three systematized groups of erection of inverted roofs (on supports, without supports and roof-parking) according to three enlarged criteria that comprehensively characterize their design: tecnological efficiency, resource efficiency and environmental friendliness. The results of the study make it possible to determine the optimal solutions for roofing at the stage of variant structural and technological design for their further improvement and application in construction practice.

Keywords: inverted roof, exploited coating, system of criteria, systematization, structural and technological design, variant design, expert analysis, mathematical modeling, technological efficiency, efficiency, environmental friendliness