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2024 | OriginalPaper | Chapter

Isogeometric Optimization of Structural Shapes for Robustness Based on Biomimetic Principles

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Abstract

This chapter delves into the critical aspect of shape optimization in engineering, emphasizing the importance of robustness against uncertainties. By drawing inspiration from nature, specifically the tree's biological growth, the authors introduce a novel approach to structural design. The Isogeometric Analysis (IGA) method is employed to accurately model and analyze the structural shapes, offering advantages over traditional methods. The paper focuses on the L-shape structure, optimizing its geometry to minimize strain concentration, particularly in weak areas. The use of the Latin Hypercube sampling and the NSGA-II optimization algorithm ensures a comprehensive and efficient exploration of the design space. The results demonstrate significant improvements in structural performance, highlighting the potential of bio-inspired design principles in practical applications.

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Appendix
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Literature
5.
go back to reference Zang, T.A.: Needs and opportunities for uncertainty-based multidisciplinary design methods for aerospace vehicles. National Aeronautics and Space Administration, Langley Research Center (2002) Zang, T.A.: Needs and opportunities for uncertainty-based multidisciplinary design methods for aerospace vehicles. National Aeronautics and Space Administration, Langley Research Center (2002)
11.
go back to reference Enevoldsen, I., Sørensen, J.D., Sigurdsson, G.: Reliability-based shape optimization using stochastic finite element methods. In: Der Kiureghian, A., Thoft-Christensen, P. (eds.) Reliability and Optimization of Structural Systems 1990: Proceedings of the 3rd IFIP WG 7.5 Conference Berkeley, California, USA, 26–28 March 1990, pp. 75–88. Springer, Heidelberg (1991). https://doi.org/10.1007/978-3-642-84362-4_8 Enevoldsen, I., Sørensen, J.D., Sigurdsson, G.: Reliability-based shape optimization using stochastic finite element methods. In: Der Kiureghian, A., Thoft-Christensen, P. (eds.) Reliability and Optimization of Structural Systems 1990: Proceedings of the 3rd IFIP WG 7.5 Conference Berkeley, California, USA, 26–28 March 1990, pp. 75–88. Springer, Heidelberg (1991). https://​doi.​org/​10.​1007/​978-3-642-84362-4_​8
Metadata
Title
Isogeometric Optimization of Structural Shapes for Robustness Based on Biomimetic Principles
Authors
Chunmei Liu
Eduardo Souza de Cursi
Renata Troian
Copyright Year
2024
DOI
https://doi.org/10.1007/978-3-031-47036-3_6

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