Volume preserving nonlinear density filter based on Heaviside functions. (English) Zbl 1274.74419
Summary: To prevent numerical instabilities and ensure manufacturability, restrictions should be applied in topology optimization. In this paper, a volume preserving density filter based on Heaviside functions is presented. Different from earlier Heaviside density filters, this filter is volume preserving, which ensures efficiency and stability in optimization. The new filter is compared with four other filters through a compliance minimization problem.
MSC:
| 74P15 | Topological methods for optimization problems in solid mechanics |
| 74P05 | Compliance or weight optimization in solid mechanics |
| 65K05 | Numerical mathematical programming methods |
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