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2024 | OriginalPaper | Chapter

Structural Topology Optimization with Volume and Natural Frequency Constraints by Using the TOBS Method

Authors : Lucas Siqueira, Emilio Silva, Renato Picelli

Published in: Proceedings of the 8th International Symposium on Solid Mechanics

Publisher: Springer Nature Switzerland

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Abstract

The chapter delves into the advanced method of structural topology optimization using the Topology Optimization of Binary Structures (TOBS) method, which leverages integer linear programming to solve complex optimization problems. It focuses on minimizing compliance subject to both volume and natural frequency constraints, making it particularly relevant for industries where structural integrity and dynamic behavior are critical. The TOBS method is demonstrated through numerical examples, such as a biclamped beam and a tower subjected to transverse loads, showcasing its ability to efficiently handle multiple constraints and control natural frequencies. The use of the Modal Assurance Criterion (MAC) for mode-tracking ensures the accuracy of the optimization process, even in cases of mode crossing. The chapter highlights the versatility and robustness of the TOBS method in addressing practical engineering challenges, making it a valuable resource for professionals seeking to optimize structural designs under complex constraints.
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Literature
1.
Pedersen, N.L.: Maximization of eigenvalues using topology optimization. Struct. Multidiscip. Optim. 20(1), 2–11 (2000)CrossRef
2.
Sigmund, O.: A 99 line topology optimization code written in Matlab. Struct. Multidiscip. Optim. 21(2), 120–127 (2001)CrossRef
3.
Du, J., Olhoff, N.: Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps. Struct. Multidiscip. Optim. 34(2), 91–110 (2007)MathSciNetCrossRef
4.
Xie, Y.M., Steven, G.P.: Evolutionary structural optimization for dynamic problems. Comput. Struct. 58(6), 1067–1073 (1996)CrossRef
5.
Zhao, C., Steven, G.P., Xie, Y.M.: Evolutionary natural frequency optimization of two-dimensional structures with additional non-structural lumped masses. Eng. Comput. 14, 233–251 (1997)CrossRef
6.
Yang, X.Y., Xie, Y.M., Steven, G.P., Querin, O.M.: Topology optimization for frequencies using an evolutionary method. J. Struct. Eng. 125(12), 1432–1438 (1999)CrossRef
7.
Rozvany, G.I., Querin, O.M.: Combining ESO with rigorous optimality criteria. Int. J. Veh. Des. 28(4), 294–299 (2002)CrossRef
8.
Huang, X., Zuo, Z.H., Xie, Y.M.: Evolutionary topological optimization of vibrating continuum structures for natural frequencies. Comput. Struct. 88(5–6), 357–364 (2010)CrossRef
9.
Huang, X., Xie, Y.M.: Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method. Finite Elem. Anal. Des. 43(14), 1039–1049 (2007)CrossRef
10.
Sivapuram, R., Picelli, R.: Topology optimization of binary structures using integer linear programming. Finite Elem. Anal. Des. 139, 49–61 (2018)MathSciNetCrossRef
11.
Sivapuram, R., Picelli, R.: Topology design of binary structures subjected to design-dependent thermal expansion and fluid pressure loads. Struct. Multidiscip. Optim. 61(5), 1877–1895 (2020)MathSciNetCrossRef
12.
Sivapuram, R., Picelli, R., Xie, Y.M.: Topology optimization of binary microstructures involving various non-volume constraints. Comput. Mater. Sci. 154, 405–425 (2018)CrossRef
13.
Larsson, J., Wennhage, P., Göransson, P.: Mass minimization with conflicting dynamic constraints by topology optimization using sequential integer programming. Finite Elem. Anal. Des. 200, 103683 (2022)MathSciNetCrossRef
14.
Kim, T.S., Kim, Y.Y.: Mac-based mode-tracking in structural topology optimization. Comput. Struct. 74(3), 375–383 (2000)CrossRef
15.
16.
Félix, L., Gomes, A.A., Suleman, A.: Topology optimization of the internal structure of an aircraft wing subjected to self-weight load. Eng. Optim. 52(7), 1119–1135 (2020)MathSciNetCrossRef
17.
Han, Y., Xu, B., Wang, Q., Liu, Y.: Bi-directional evolutionary topology optimization of continuum structures subjected to inertial loads. Adv. Eng. Softw. 155, 102897 (2021)CrossRef
Metadata
Title
Structural Topology Optimization with Volume and Natural Frequency Constraints by Using the TOBS Method
Authors
Lucas Siqueira
Emilio Silva
Renato Picelli
Copyright Year
2024
Book
Proceedings of the 8th International Symposium on Solid Mechanics

Print ISBN: 978-3-031-59803-6

Electronic ISBN: 978-3-031-59804-3

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-59804-3_5

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