In the present work, a new approach for designing graded lattice structures is developed under the moving morphable components/voids (MMC/MMV) topology optimization framework. The essential idea is to make a coordinate perturbation to the topology description functions (TDF) that are employed for the description of component/void geometries in the design domain. Then, the optimal graded structure design can be obtained by optimizing the coefficients in the perturbed basis functions. Our numerical examples show that the proposed approach enables a concurrent optimization of both the primitive cell and the graded material distribution in a straightforward and computationally effective way. Moreover, the proposed approach also shows its potential in finding the optimal configuration of complex graded lattice structures with a very small number of design variables employed under various loading conditions and coordinate systems.
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August 2017
Research-Article
Additive Manufacturing-Oriented Design of Graded Lattice Structures Through Explicit Topology Optimization
Chang Liu,
Chang Liu
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Search for other works by this author on:
Zongliang Du,
Zongliang Du
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Search for other works by this author on:
Weisheng Zhang,
Weisheng Zhang
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Search for other works by this author on:
Yichao Zhu,
Yichao Zhu
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Search for other works by this author on:
Xu Guo
Xu Guo
State Key Laboratory of Structural Analysis for
Industrial Equipment, Department of
Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
e-mail: guoxu@dlut.edu.cn
Industrial Equipment, Department of
Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
e-mail: guoxu@dlut.edu.cn
Search for other works by this author on:
Chang Liu
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Zongliang Du
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Weisheng Zhang
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Yichao Zhu
State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Industrial Equipment,
Department of Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
Xu Guo
State Key Laboratory of Structural Analysis for
Industrial Equipment, Department of
Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
e-mail: guoxu@dlut.edu.cn
Industrial Equipment, Department of
Engineering Mechanics,
International Research Center for
Computational Mechanics,
Dalian University of Technology,
Dalian 116023, China
e-mail: guoxu@dlut.edu.cn
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received May 24, 2017; final manuscript received May 29, 2017; published online June 16, 2017. Editor: Yonggang Huang.
J. Appl. Mech. Aug 2017, 84(8): 081008 (12 pages)
Published Online: June 16, 2017
Article history
Received:
May 24, 2017
Revised:
May 29, 2017
Citation
Liu, C., Du, Z., Zhang, W., Zhu, Y., and Guo, X. (June 16, 2017). "Additive Manufacturing-Oriented Design of Graded Lattice Structures Through Explicit Topology Optimization." ASME. J. Appl. Mech. August 2017; 84(8): 081008. https://doi.org/10.1115/1.4036941
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