期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 333, 期 -, 页码 356-370出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2018.01.035
关键词
Topology optimization; BESO; Stress minimization; Sensitivity analysis
资金
- National Natural Science Foundation of China [51705165, 51405170, 51790171, 5171101743]
- Natural Science Foundation for Distinguished Young Scholars of Hubei province of China [2017CFA044]
- National High Technology Research and Development Program (863 Program) of China [2015AA042505]
This work proposes an evolutionary topology optimization method for stress minimization design using the bi-directional evolutionary structural optimization (BESO) method. The discrete nature of the BESO method avoids naturally the well-known singularity problem in density-based methods with degenerated materials. The p-norm stress aggregation scheme is adopted for the measure of global stress level. A computationally efficient sensitivity number formulation is derived from the adjoint sensitivity of the global stress measure. With regard to the highly nonlinear stress behavior, both sensitivity numbers and topology variables are filtered to stabilize the optimization procedure; meanwhile, the filtered sensitivity numbers are further stabilized with their historical information. The method has been shown efficient, practical and easy-to-implement through a series of 2D and 3D benchmark designs. (C) 2018 Elsevier B.V. All rights reserved.
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