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Abstract
The criterion for the minimum material consumption of strips strengthening the I-rod with stability or first eigen-frequency limits is formulated in previous studies for the case of continuous change of the variable parameter. It is known that this solution allows evaluating a real design project not only by the criterion of its proximity to the minimum material consumption, but also by the reference point in the real design. In many cases, it is used to replace the continuous change in the variable size of the rod-strengthening piecewise constant sections. The boundaries of these sections are based on the minimum material consumption. The width of the strengthening strips is determined by the optimization methods. The paper proposes the criterion allowing to correctly assess the termination of the optimization processes.
Highlights
Для цитирования: Ляхович Л.С., Акимов П.А., Тухфатуллин Б.А
The criterion for the minimum material consumption of strips strengthening the I-rod with stability or first eigen-frequency limits is formulated in previous studies for the case of continuous change of the variable parameter
It is known that this solution allows evaluating a real design project by the criterion of its proximity to the minimum material consumption, and by the reference point in the real design
Summary
Для цитирования: Ляхович Л.С., Акимов П.А., Тухфатуллин Б.А. Критерий оценки оптимальных решений при формировании кусочно-постоянных участков полосы, усиливающей стенку стержней двутаврового поперечного сечения, при ограничениях по устойчивости или на величину первой частоты собственных колебаний // Вестник Томского государственного архитектурно-строительного университета. 2020. For citation: Lyakhovich L.S., Akimov P.A., Tukhfatullin B.A. Kriterii otsenki optimal''nykh reshenii pri formirovanii kusochno-postoyannykh uchastkov polosy, usilivayushchei stenku sterzhnei dvutavrovogo poperechnogo secheniya, pri ogranicheniyakh po ustoichivosti ili na velichinu pervoi chastoty sobstvennykh kolebanii [Assessment criterion for optimum design solutions of piecewise constant sections in I-rods with stability or first eigen-frequency limits]. В работе [7] сформулирован критерий оптимального усиления полок, а в работе [8] − стенок стержней двутаврового поперечного сечения при ограничениях по устойчивости или на величину первой собственной частоты, но при непрерывном изменении параметра усиливающих полос.
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