LAGRANGIAN METHOD FOR ALGORITHM OPTIMIZATION OF RIBBED THIN PLATES
https://doi.org/10.31675/1607-1859-2018-20-1-140-147
Abstract
The paper presents two iteration algorithms for the equation solution using the method of Lagrange multipliers. It is shown that these iteration algorithms do not converge. For comparison, we use the optimum parameters of a ribbed plate obtained by other methods. The proposed method is based on the specific properties of optimality of ribbed plates formulated as a result of the Lagrange equation analysis. These optimum parameters satisfy each of Lagrange equations. The solution of these equations shows that optimization of ribbed plates is possible only with the use of specific optimality properties.
About the Authors
R. P. Moiseenko
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Rostislav P. Moiseenko - DSc, Professor.
2, Solyanaya Sq., 634003, Tomsk
O. O. Kondratenko
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Olga O. Kondratenko - Research Assistant.
2, Solyanaya Sq., 634003, Tomsk
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Review
For citations:
Moiseenko R.P., Kondratenko O.O. LAGRANGIAN METHOD FOR ALGORITHM OPTIMIZATION OF RIBBED THIN PLATES. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2018;(1):140-147. (In Russ.) https://doi.org/10.31675/1607-1859-2018-20-1-140-147
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