APPLICATION OF FREQUENCY RESPONSE FUNCTION METHOD TO SOLVE A PROBLEM ON THERMAL STABILITY OF FENCING
Abstract
The problem of the so-called layer of abrupt fluctuations, the index of thermal inertia and heat
absorption coefficient of the material is considered in the article. Using the theory of transfer functions
formulae for the layer of abrupt fluctuations are specified. It is shown that the approach to the
problem is more simple and, therefore, more understandable and "transparent". In the previous references
indicated ratios are obtained by direct analysis of the solution and the heat equation with
appropriate boundary conditions. Because of the known disadvantages of this method, as noted
in the references, some researchers have suggested various formulae which are inconsistent with
each other. Used in this article method of frequency transfer functions is recommended for the development
of the theory of thermal stability of fencing and buildings in general, which is relevant at
present.
Keywords: layer of abrupt fluctuations, amplitude, the rate of thermal inertia, the coefficient of
heat absorption of the material, the frequency response function.
References
Bogoslovskiy V.N. Stroitel'naya teplofizika [Building thermal physics]. St. Petersburg, AVOK Northwest
Publ., 2006. 400 p.
Il'inskiy V.M. Stroitel'naya teplofizika [Building thermal physics]. Moscow, Graduate School Publ., 1974.
p.
Fokin K.F. Stroitel'naya teplotekhnika ograzhdayushchikh chastey zdaniy [Construction thermotechnics external
parts of buildings]. Moscow, AVOK PRESS Publ., 2006. 256 p.
Vlasov O.E. Osnovy stroitel'noy teplotekhniki [Basics of buildingthermal physics]. Moscow, Military Engineering
Academyof the Red Army Publ., 1938. 96 p.
Muromov S.I. Raschetnye temperatury naruzhnogo vozdukha i teploustoychivost' ograzhdeniy [Estimatedoutdoor
temperature and theheat resistanceof external walls]. Leningrad, Stroizdat Publ., 1939. 73 p.
Machinskiy V.D. Teplotekhnicheskie osnovy stroitel'stva [Thermotechnical fundamentals of construction].
Moscow, Stroizdat Publ., 1949. 327 p.
Semenov L.A. Teploustoychivost' i pechnoe otoplenie zhilykh i obshchestvennykh zdaniy [Thermal stability
and furnace heating of residential and public buildings]. Moscow, Minstroymash Publ., 1950. 303 p.
Lykov A.V. Teoreticheskie osnovy stroitel'noy teplofiziki [Theoretical bases of construction Thermophysics].
Minsk, Academy of Sciences of Belarus Publ., 1961. 520 p.
Voronov A.A. Osnovy teorii avtomaticheskogo upravleniya: Osobye lineynye nelineynye sistemy [The
theory of automatic control: Special linear onlinear systems]. Moscow, Energoizdat Publ., 1981. 304 p.
Voronov A.A. Ustoychivost', upravlyaemost', nablyudaemost' [Stability, controllability, observability].
Moscow, Nauka Publ., 1979. 336 p.
