METHOD OF SETTING THE POSITIONS OF NODE POINTS DETERMINING THE ENVELOPES OF SHADOWS AT DIFFERENT DIRECTIONS OF SOLAR RAYS AND ANGULATION OF BUILDINGS

Abstract

The paper proposes an analytical method for calculating the shadows of buildings and structures
for the purpose of using them in the compiling of residential development plans. The method is
angles, respectively determining the angle of the sun rays and position of buildings relative of the
east-west direction. A graphical interpretation of these dependencies is given. The obtained analytical
dependences are used for the automated determination of insolation indices at different positions
of buildings and structures. A modification was made for the algorithm of finding the position of
residential buildings based on the use of generalized coordinates and the synthesis of small motions,
in which the requirements of the insolation regime are met, and the occupied area is minimized.
With this method, at each iteration, the mutual position of the envelopes of shadows of buildings
and various structures is studied. The paper also presents the results of calculations of the synthesis
of moving of buildings with different heights and different sketches on the horizontal projection
plane. With this synthesis of movements at each step of the calculations, the occupied area of the
residential development decreases with the fulfillment of the insolation requirements.