Proceedings of the 3rd International Conference on Green Building, Civil Engineering and Smart City (GBCESC 2024)

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A Design Method for Tensegrity Structures Based on Adaptive Force Density Method and SQP

Authors
Qian Sun1, Jialin Dong1, Peng Wei1, *, Jingyao Zhang2
1School of Civil Engineering and Transportation, State Key Laboratory of Subtropical Building and Urban Science, South China University of Technology, Guangzhou, 510641, China
2Department of Architecture and Architectural Engineering, Kyoto University, Kyoto-Daigaku Katsura, Nishikyo, Kyoto, 615-8540, Japan
*Corresponding author. Email: ctpwei@scut.edu.cn
Corresponding Author
Peng Wei
Available Online 19 May 2025.
DOI
10.2991/978-94-6463-728-1_32How to use a DOI?
Keywords
Tensegrity design; Adaptive Force Density Method; SQP
Abstract

Tensegrity structures, characterized by self-stabilization through internal prestress, are widely employed in disciplines such as architecture, aerospace, and robotics. The form-finding problem of tensegrity structures has received considerable attention in research. This paper proposes a novel design approach for tensegrity structures utilizing the Adaptive Force Density Method (AFDM) in conjunction with the Sequential Quadratic Programming (SQP) algorithm. The objective is to optimize nodal coordinates to achieve force equilibrium while closely approximating the desired geometric configuration. Firstly, the basic concepts of tensegrity structures and current design methods are introduced. Next, it is a detailed explanation of the AFDM and SQP-based optimization algorithm, including the definition of the objective function, calculation of gradients and Hessian matrices, line search, and updates of Lagrange multipliers. Two numerical examples are presented to verify the feasibility and effectiveness of the method: one involves designing a 6-strut-24-cable tensegrity structure, and the other is based on a diamond structure derived from regular octahedral units. Results from these simulations demonstrate the method’s efficacy in shape control, highlighting its robustness and convergence properties.

Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the 3rd International Conference on Green Building, Civil Engineering and Smart City (GBCESC 2024)
Series
Advances in Engineering Research
Publication Date
19 May 2025
ISBN
978-94-6463-728-1
ISSN
2352-5401
DOI
10.2991/978-94-6463-728-1_32How to use a DOI?
Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Qian Sun
AU  - Jialin Dong
AU  - Peng Wei
AU  - Jingyao Zhang
PY  - 2025
DA  - 2025/05/19
TI  - A Design Method for Tensegrity Structures Based on Adaptive Force Density Method and SQP
BT  - Proceedings of the 3rd International Conference on Green Building, Civil Engineering and Smart City (GBCESC 2024)
PB  - Atlantis Press
SP  - 323
EP  - 331
SN  - 2352-5401
UR  - https://doi.org/10.2991/978-94-6463-728-1_32
DO  - 10.2991/978-94-6463-728-1_32
ID  - Sun2025
ER  -