A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties

The robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties is studied in this paper. To consider the uncertainty of structures composed of truss-like lattice material during the production and service, a formulation of robust topology opti...

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Vydáno v:	Structural and multidisciplinary optimization Ročník 64; číslo 3; s. 1241 - 1258
Hlavní autoři:	Liu, Dongliang, Qiu, Zhiping
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021 Springer Nature B.V
Témata:	Computational Mathematics and Numerical Analysis Diameters Engineering Engineering Design Optimization Parameter uncertainty Research Paper Robustness Theoretical and Applied Mechanics Topology optimization Trusses Truss-like lattice material Subinterval dimension-wise method Robust topology optimization (RTO) Large uncertainty Unknown but bounded uncertainties
ISSN:	1615-147X, 1615-1488
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Abstract	The robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties is studied in this paper. To consider the uncertainty of structures composed of truss-like lattice material during the production and service, a formulation of robust topology optimization is constructed, which takes into account the unknown but bounded uncertainties of both the magnitude and direction of load and the diameter of truss-like lattice material. Besides, the absolute robustness index and the relative robustness index are established to measure the robustness of the structure. By dividing the intervals of uncertain parameters, a method called the subinterval dimension-wise method is proposed to solve the difficulty of determining the response interval of structures caused by large uncertainty. Finally, two examples are given to illustrate the effectiveness of the proposed method and its applicability in complex structures, especially the structure with large uncertainty.
AbstractList	The robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties is studied in this paper. To consider the uncertainty of structures composed of truss-like lattice material during the production and service, a formulation of robust topology optimization is constructed, which takes into account the unknown but bounded uncertainties of both the magnitude and direction of load and the diameter of truss-like lattice material. Besides, the absolute robustness index and the relative robustness index are established to measure the robustness of the structure. By dividing the intervals of uncertain parameters, a method called the subinterval dimension-wise method is proposed to solve the difficulty of determining the response interval of structures caused by large uncertainty. Finally, two examples are given to illustrate the effectiveness of the proposed method and its applicability in complex structures, especially the structure with large uncertainty.
Author	Qiu, Zhiping Liu, Dongliang
Author_xml	– sequence: 1 givenname: Dongliang surname: Liu fullname: Liu, Dongliang organization: Institute of Solid Mechanics, Beihang University – sequence: 2 givenname: Zhiping orcidid: 0000-0002-2663-5325 surname: Qiu fullname: Qiu, Zhiping email: zpqiu@buaa.edu.cn organization: Institute of Solid Mechanics, Beihang University
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CitedBy_id	crossref_primary_10_1016_j_istruc_2023_105377 crossref_primary_10_1016_j_probengmech_2022_103384 crossref_primary_10_1016_j_cma_2024_116766 crossref_primary_10_1007_s00158_023_03532_w crossref_primary_10_1080_0305215X_2023_2208035 crossref_primary_10_1007_s11012_022_01570_0 crossref_primary_10_1016_j_tws_2022_109218 crossref_primary_10_1016_j_addma_2023_103545 crossref_primary_10_1016_j_cnsns_2023_107377 crossref_primary_10_1007_s00366_022_01615_8
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Keywords	Truss-like lattice material Subinterval dimension-wise method Robust topology optimization (RTO) Large uncertainty Unknown but bounded uncertainties
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Snippet	The robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties is studied in this paper. To consider...
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SubjectTerms	Computational Mathematics and Numerical Analysis Diameters Engineering Engineering Design Optimization Parameter uncertainty Research Paper Robustness Theoretical and Applied Mechanics Topology optimization Trusses
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Title	A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties
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