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Название Topology design of plane bar systems based on polygonal discretization // Magazine of Civil Engineering. – 2022. – № 7 (115). — С. 11508
Авторы Alekseytsev A. V. ; Kurchenko N. S.
Выходные сведения 2022
Коллекция Общая коллекция
Тематика Строительство ; Строительная механика ; core systems ; flat rod systems ; topology of core systems ; topology design ; polygonal sampling ; geometric stability ; стержневые системы ; плоские стержневые системы ; топология стержневых систем ; проектирование топологии ; полигональная дискретизация ; геометрическая устойчивость
УДК 624.04
ББК 38.112
Тип документа Статья, доклад
Язык Английский
DOI 10.34910/MCE.115.8
Права доступа Свободный доступ из сети Интернет (чтение, печать, копирование)
Ключ записи RU\SPSTU\edoc\70443
Дата создания записи 17.04.2023

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A topology formation method for frame and truss structures, which is relevant for use in computer-aided design, is proposed. A flat figure discretized into polygonal primitives is used as a basic structure. This structure is presented in the form of a finite element model and is assumed redundant. Its elements are excluded using the principle of maximizing the intensity of the force flow during the initial calculation and the shortest path of this force flow between the points that reflect force and kinematic connections. At the same time, the heuristic principle implemented in the ACO algorithms was used. Registration of geometrically variable systems is performed based on an estimate of the infinite norm of the stiffness matrix of the finite element model. For flat trusses and frames, examples of the formation of rational topologies under given force and kinematic constraints are considered. Comparison with the method of redundant structure, which implements the exclusion based on the genetic algorithm, is performed. It has been shown that the proposed technique allows one to effectively select both one and several alternative variants of the topology of bearing systems.

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  • Topology design of plane bar systems based on polygonal discretization
    • 1. Introduction
    • 2. Methods
      • 2.1. Formulation of the topology optimization problem
      • 2.2. Boundary conditions of the task
      • 2.3. Algorithm of design topology for plane bar systems
      • 2.4. Forming trusses topology
      • 2.5. FE analysis for topology design
    • 3. Results
      • 3.1. Design frame topology for the symmetrically loaded area. Example 1
      • 3.2. Design frame topology for an asymmetrically loaded area. Example 2
      • 3.3. Truss structure design. Example 3
    • 4. Discussion
    • 5. Conclusion
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