EQUATION FOR ADAPTIVE DESIGN OF APARTMENT BUILDINGS DURING THEIR LIFECYCLE

The topic of adaptive design is highly relevant and addresses the challenges facing modern architectural and construction sciences: climate change, resource and energy efficiency, environmental issues, and others. Changes in contemporary societal lifestyles, increasing demands for building comfort, and infrastructure accessibility are also key factors shaping trends toward adaptive design. This topic is particularly important for multi-apartment residential buildings, where a significant portion of the population lives and works. Multi-apartment buildings must meet sustainable development goals and respond effectively to climatic and other challenges throughout their entire life cycle. This paper systematizes the factors influencing current trends in architecture and construction within multi-apartment buildings. Indicators for adaptive design of multi-apartment buildings have been developed, taking into account regulatory requirements. Calculation formulas for these indicators are proposed, incorporating the dynamics of the building’s life cycle. A differential equation formulating adaptive design for multi-apartment buildings over their life cycle is introduced. The adaptive design equation expresses the dynamic variation of thermal resistance to heat transfer, considering deviations of temperature from climatic norms, temperature-induced adaptation of construction materials, and a precipitation impact coefficient characterizing hydrogeological adaptation and the rate of change in precipitation volume over the building's life cycle. The Euler method is proposed for solving this dynamic equation. The proposed approach's continuity with methods for solving nonlinear equations in physics and continuum mechanics is demonstrated. The use of Euler's method for solving this dynamic equation is proposed. Calculation examples are included, demonstrating the practical value of this equation in design.