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UEC Int’l Mini-Conference No.54 39
turing. This represents the first systematic cou- [5] K. Deb, A. Pratap, S. Agarwal, and T. Me-
pling of dynamic frequency analysis with multi- yarivan, “A Fast and Elitist Multiobjec-
objective topology optimization on dense tetra- tive Genetic Algorithm: NSGA-II,” IEEE
hedral meshes. At the same time, the reliance Transactions on Evolutionary Computation,
on static, linear FEM and the need to calibrate Vol. 6, No. 2, pp. 182–197, 2002.
filtering radii highlight areas for improvement.
Geometric distortions may arise if filter param- [6] E. Zitzler and L. Thiele, “SPEA2: Improv-
ing the Strength Pareto Evolutionary Al-
eters are not carefully chosen, and real-world
durability under variable or nonlinear loads re- gorithm,” Evolutionary Methods for Design,
mains to be assessed. Optimization and Control with Applications
Practically, this framework accelerates to Industrial Problems, pp. 95–100, 2001.
the design cycle by producing 3D-printable,
[7] Q. Zhang and H. Li, “MOEA/D: A Mul-
lightweight structures with minimal manual tiobjective Evolutionary Algorithm Based
intervention, paving the way for rapid prototyp- on Decomposition,” IEEE Transactions on
ing in aerospace, automotive, and biomedical Evolutionary Computation, Vol. 11, No. 6,
applications. Future extensions will incorporate pp. 712–731, 2007.
nonlinear and fatigue analyses, embed manufac-
turing constraints such as print orientation and [8] M. Langelaar, “Topology Optimization for
anisotropy directly into the optimization loop, Additive Manufacturing: Status and Chal-
and explore co-optimization with composite lenges,” Additive Manufacturing, Vol. 30,
materials to further enhance performance and 100894, 2019.
robustness.
[9] M. Y. Wang, W. X. Zhong, and Y. Wang,
“Connectivity-Based Topology Optimiza-
8 Acknowledgments tion for Additive Manufacturing,” Computer
Methods in Applied Mechanics and Engi-
Space to thank others for their contributions and neering, Vol. 350, pp. 331–353, 2019.
support to the research or project. Thank the
funders (grant, shcolarship). [10] P. Zhu, J. Zheng, and Z. Pan, “A Morpho-
logical Filter Approach for Minimum Fea-
ture Size Control in Topology Optimiza-
References
tion,” Structural and Multidisciplinary Op-
timization, Vol. 61, pp. 2285–2305, 2020.
[1] A. G. M. Michell, “The Limits of Economy
of Material in Frame-Structures,” Philosoph- [11] K. Maute and E. Ramm, “Topology and
ical Magazine (Series 6), Vol. 8, No. 47, pp. Shape Optimization of Structures Subject to
589–597, 1904. Natural Frequency Constraints,” Computers
& Structures, Vol. 120, pp. 110–125, 2013.
[2] M. P. Bendsøe and N. Kikuchi, “Generating
Optimal Topologies in Structural Design Us- [12] T. Liu, S. Zhang, and K. Maute, “Robust
ing a Homogenization Method,” Computer Topology Optimization Under Material and
Methods in Applied Mechanics and Engi- Loading Uncertainties,” Structural and Mul-
neering, Vol. 71, No. 2, pp. 197–224, 1988. tidisciplinary Optimization, Vol. 63, pp. 485–
505, 2021.
[3] O. Sigmund, “A 99-line Topology Optimiza-
tion Code Written in MATLAB,” Structural [13] J. K. Guest and J.-H. Pr´evost, “Topology
and Multidisciplinary Optimization, Vol. 21, Optimization of Mean Response for Stochas-
No. 2, pp. 120–127, 2001. tic Loads,” International Journal for Nu-
merical Methods in Engineering, Vol. 65,
[4] M. P. Bendsøe and O. Sigmund, Topology
Optimization: Theory, Methods and Appli- No. 10, pp. 1427–1456, 2006.
cations, Springer, 2003.