About the solution of a structural class optimization problems. Part 1: Formulation of theoretical foundations problems of the solution procedure

[摘要] Earlier, the criterion of minimum material consumption was formulated within the outline design of the I-shaped bar width and the stability constraints or restriction to the value of the first natural frequency in one principal plane of the cross-section inertia. In the distinctive paper, we formulate a criterion for the minimum material capacity of the I-shaped bar with a variation in its thickness and outline of the width, with restrictions on the value of the critical force or restriction to the value of the first natural frequency in two principal planes of the section inertia.

[发布机构] Department of Structural Mechanics, Tomsk State University of Architecture and Building, Solyanaya sq. 2, Tomsk; 634003, Russia^1;Russian Academy of Architecture and Construction Sciences, ul. Bolshaya Dmitrovka 24, Moscow; 107031, Russia^2;Research and Development Centre StaDyO, Office 810, 3ya Ulitsa Yamskogo Polya 18, Moscow; 125040, Russia^3;Department of Architecture and Civil Engineering, Peoples' Friendship University of Russia, Miklukho-Maklaya st. 6, Moscow; 117198, Russia^4

[效力级别] 计算机科学

[关键词] Critical force;Material consumption;Optimization problems;Principal planes;Solution procedure;Stability constraints;Structural class;Theoretical foundations