期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 119, 期 4, 页码 239-260出版社
WILEY
DOI: 10.1002/nme.6048
关键词
macro-micro stiffness performance equivalence; nonprobabilistic reliability-based topology optimization (NRBTO); the adjoint vector method; the representative volume element (RVE) analysis; unknown-but-bounded (UBB) uncertainties
资金
- National Nature Science Foundation of China [11602012, 11432002]
- Pre-research Field Foundation of Equipment Development Department of China [61402100103]
- Aeronautical Science Foundation of China [2017ZA51012]
- Defense Industrial Technology Development Program [JCKY2016204B101, JCKY2017208B001]
A new nonprobabilistic reliability-based topology optimization method for continuum structures with displacement constraints is proposed in this paper, in which the optimal layout consists of solid material and truss-like microstructure material simultaneously. The unknown-but-bounded uncertainties that exist in material properties, external loads, and safety displacements are considered. By utilizing the representative volume element analysis, rules of macro-micro stiffness performance equivalence can be confirmed. A solid material and truss-like microstructure material structure integrated design interpolation model is firstly constructed, in which design domain elements can be conducted to select solid material or truss-like microstructure material by a combination of the finite element method in the topology optimization process. Moreover, a new nonprobabilistic reliability measuring index, namely, the optimization feature distance is defined by making use of the area-ratio ideas. Furthermore, the adjoint vector method is employed to obtain the sensitivity information between the reliability measure and design variables. By utilizing the method of moving asymptotes, the investigated optimization problem can be iteratively solved. The effectiveness of the developed methodology is eventually demonstrated by two examples.
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