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38 UEC Int’l Mini-Conference No.54

(a) 0% deformation

(a) Topology at highest natural frequency
(b) 25% deformation

(c) 50% deformation

(b) Best compromise topology
(d) 100% deformation
Figure 7: Obtained topologies
Figure 8: Amplified deformation contours of
the optimized structure at four incremental load
6 Discussion
levels (0%, 25%, 50%, and 100%). Displace-
ments are scaled for visibility (scaling factor ap-
Discussion here. Lorem ipsum dolor sit amet, plied), illustrating stiffness retention and contin-
consectetuer adipiscing elit. Etiam lobortis fa- uous connectivity as the load increases.
cilisis sem. Nullam nec mi et neque pharetra
sollicitudin. Praesent imperdiet mi nec ante.
Donec ullamcorper, felis non sodales commodo,
tion, and topology-filtering routines on high-
lectus velit ultrices augue, a dignissim nibh lec-
resolution tetrahedral meshes. By penalizing in-
tus placerat pede. Vivamus nunc nunc, molestie
ut, ultricies vel, semper in, velit. Ut porttitor. termediate densities with p = 3, we achieved
Praesent in sapien. Lorem ipsum dolor sit amet, a reduction in strain energy from 8.6876 J to
consectetuer adipiscing elit. Duis fringilla tris- 0.9442 J—corresponding to a 920% stiffness
tique neque. Sed interdum libero ut metus. Pel- gain—without manual tuning. The resulting 2D
Pareto front spans masses from 0.166 to 0.174 kg
lentesque placerat. Nam rutrum augue a leo.
Morbi sed elit sit amet ante lobortis sollicitudin. at near-zero strain energy, confirming the ef-
Praesent blandit blandit mauris. Praesent lec- fective exploration of lightweight yet stiff de-
tus tellus, aliquet aliquam, luctus a, egestas a, signs. Introducing the fundamental frequency as
turpis. Mauris lacinia lorem sit amet ipsum. a third objective produced a modest 2% mass in-
crease for an approximate 600 Hz gain, showcas-
Nunc quis urna dictum turpis accumsan semper.
ing NSGA-II’s capability to balance static and
dynamic performance simultaneously.
7 Conclusions Our automated workflow—built around SBX
crossover, polynomial mutation, and post-
This work has demonstrated an end-to-end processing filters for connectivity and minimum
framework that integrates the SIMP interpo- feature size—ensures that optimized topologies
lation scheme, NSGA-II multi-objective evolu- are directly compatible with additive manufac-