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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Bibliographic Details
Published in:Structural and multidisciplinary optimization Vol. 64; no. 3; pp. 1241 - 1258
Main Authors: Liu, Dongliang, Qiu, Zhiping
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-021-02911-5