UDK 539.3
TO CALCULATION OF PLATES IN THE CONDITIONS OF THE FLAT TENSION ON TEMPERATURE LOADINGS WITH THE HELP OF THE VARIATION AND DIFFERENTIAL METHOD IN TENSION FUNCTIONS
R. А. Sabirov
Siberian State Aerospace University named after academician M. F. Reshetnev 31, Krasnoyarsky Rabochy Av., Krasnoyarsk, 660014, Russian Federation Е-mail: rashidsab@mail.ru
The variation and differential method of calculation of plates tension in the conditions of a flat task of the elasticity theory in functions of tension is developed. The method of elimination of deformations of S. Tymoshenko is applied to the solution of a temperature task. The functionality in functions of tension, taking into account the temperature member that exempts from calculation of deformations, is received. The feature of the developed algorithm of calculation is the usage of the allowing equations and its right part of the first and second variations of this functionality for formation of coefficients of the system. It gives a universal algorithm of calculations when the same procedure in program modules is applied. The finite-differential discretization sampling of a continual task allows to solve problems of a big dimen-sion. Tension on a contour is known a priori; in the field of a plate the equation of continuity is provided at rather rare finite-differential grids, the counting duration and resources of memory is small. The calculation program on the basis of a Maple package is made; the example of calculation of a free plate is given at uneven heating.
flat task of the theory of elasticity, Kastiliano’s functionality, variation and differential method, function of tension.
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Sabirov Rasheed Altavovich – Candidate of Technical Sciences, associate professor, associate professor Technical Mechanics, Siberian State Aerospace University named after academician M. F. Reshetnev. Е-mail: rashidsab@mail.ru
