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Optimization of Plane Frames with Variable Cross-Section

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Proceedings of the 7th International Conference on Construction, Architecture and Technosphere Safety (ICCATS 2023)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 400))

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Abstract

Nowadays, in structural engineering, many elements in structural systems are selected with variable cross-sections for some purposes. The optimization problem helps to define the suitable dimensions of elements for the optimal weight of the system under given loading and other effects. In the studies of optimization, it is applied many methods depending on the characteristics of the problem. The article uses the Gradient and graphic methods to optimize plane frames with constant and variable cross-sections. The authors established the relationship between internal forces and displacements of the element ends with different boundary conditions using force and displacement methods. With the development of technology, it is allowed to use programming software to avoid mathematical difficulties. The calculation procedure of the considered optimization problem is written in the programming software MATLAB in the article. The obtained results are compared with those of other methods to verify the applied method’s accuracy, reliability and effectiveness.

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Author information

Authors and Affiliations

  1. Hanoi Architectural University, Km 10, Nguyen Trai Street, Thanh Xuan District, Hanoi, Vietnam

    Pham Van Trung & Nguyen Vu Thiem

Authors
  1. Pham Van Trung
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  2. Nguyen Vu Thiem
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Corresponding author

Correspondence to Pham Van Trung .

Editor information

Editors and Affiliations

  1. Moscow Polytechnic University, Moscow, Russia

    Andrey A. Radionov

  2. South Ural State University, Chelyabinsk, Russia

    Dmitrii V. Ulrikh

  3. Irkutsk National Research State Technical University, Irkutsk, Russia

    Svetlana S. Timofeeva

  4. Ural Federal University named after the first President of Russia B. N. Yeltsin, Ekaterinburg, Russia

    Vladimir N. Alekhin

  5. Moscow Polytechnic University, Moscow, Russia

    Vadim R. Gasiyarov

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© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Trung, P.V., Thiem, N.V. (2024). Optimization of Plane Frames with Variable Cross-Section. In: Radionov, A.A., Ulrikh, D.V., Timofeeva, S.S., Alekhin, V.N., Gasiyarov, V.R. (eds) Proceedings of the 7th International Conference on Construction, Architecture and Technosphere Safety. ICCATS 2023. Lecture Notes in Civil Engineering, vol 400. Springer, Cham. https://doi.org/10.1007/978-3-031-47810-9_18

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  • DOI: https://doi.org/10.1007/978-3-031-47810-9_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-47809-3

  • Online ISBN: 978-3-031-47810-9

  • eBook Packages: EngineeringEngineering (R0)

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