ANALYTICAL METHOD OF DEFINING SHADOW AREAS OF BUILDINGS AND STRUCTURES TO DETERMINE THE OPTIMAL PLACE OF LOCATION ON THE SPECIFIED AREA
Keywords:
insolation, level of illumination, residential buildings, territorial planningAbstract
An analytical method of defining shadow areas of residential buildings and structures based on the use of the theory of sets is proposed. The developed method allows calculating the position of shadows at different orientation of building structures in a given terrain. The method is based on the use of a set of inequalities defining the points of a given plane (building area) that meet the specific requirements. The obtained areas were used in the automated synthesis of small displacements of construction objects in order to determine their location, taking into account the minimization of the occupied area and ensuring the maximum level of their illumination. The results of the research can be used in drawing up the layout plans of different residential buildings under construction in a given area.
References
Bakharev D.V., Orlova L.N. [On the Rationing and Calculation of Insolation]. Svetotekhnika Publ., 2006, no. 1, pp.18-27 (in Russ.).
Karataev V.A., Adonkina E.V., Ten M.G., Nefedova S.A. Insolyatsiya pomeshcheniy i territoriy zastroyki [Insolation of Buildings and Territories]. Novosibirsk, NGASU (Sibstrin) Publ., 2013. 64 p.
Letsius E.P. Postroenie teney i perspektivy ryada arkhitekturnykh form [Building Shadows and Prospects for a Number of Architectural Forms]. Moscow, Arkhitektura Publ., 2005. 144 p.
Kheyfets A.L. [3D-Modeling and Calculation of the Duration of Insolation Using the Autocad Package: The 14-th International Conference on Computer Graphicsand Vision]. Moscow, 2004. pp. 283−286 (in Russ.).
Kheyfets A.L. [Calculation of the Duration of Insolation Using 3D Modeling of the Autocad Package]. Bulletin of Ural Federal University. Ser. Construction and Education, 2004, iss. 7, no. 11 (41), pp. 211−214 (in Russ.).
Rvachev V.L. Metody algebry logiki v matematicheskoy fizike [Methods of Algebra of Logic in Mathematical Physics]. Kiev, Naukova dumka Publ., 1974. 256 p.
Rvachev V.L. Teoriya R-funktsiy i nekotorye ee prilozheniya [Theory of R-Functions and Some of its Applications]. Kiev, 1982. 252 p.
Pritykin F.N. Virtual'noe modelirovanie dvizheniy robotov, imeyushchikh razlichnuyu strukturu kinematicheskikh tsepey [Virtual Simulation of Movements of Robots Having a Different Structure of Kinematic Circuits]. Omsk, OmGTU Publ., 2014. 172 p.
Pritykin F.N. Parametricheskie izobrazheniya ob"ektov proektirovaniya na osnove ispol'zovaniya yazyka AVTOLISP v srede AVTOKAD [Parametric Images of Design Objects Based on the Use of the Language AVTOLISP in the AVTOCAD Environment]. Omsk, OmGTU Publ., 2008. 112 p.
