journal article·2024-07-18Open access

Sensitivity Analysis and Filtering of Machinable Parts Using Density-Based Topology Optimization

Abraham Vadillo Morillas, Jesús Meneses Alonso, Alejandro Bustos Caballero, Cristina Castejón Sisamón

Applied Sciences· Volume 14· Issue 14

Abstract

Topology optimization has become a popular tool for designing optimal shapes while meeting specific objectives and restrictions. However, the resulting shape from the optimization process may not be easy to manufacture using typical methods like machining and may require interpretation and validation. Additionally, the final shape depends on chosen parameters. In this study, we conduct a sensitivity analysis of the main parameters involved in 3D topology optimization—penalization and filter radius—focusing on the density-based method. We analyze the features and characteristics of the results, concluding that a machinable and low interpretable part is not an attainable result in by-default topology optimization. Therefore, we propose a new method for obtaining more manufacturable and easily interpretable parts. The main goal is to assist designers in choosing appropriate parameters and understanding what to consider when seeking optimized shapes, giving them a new plug-and-play tool for manufacturable designs. We chose the density-based topology optimization method due to its popularity in commercial packages, and the conclusions may directly influence designers’ work. Finally, we verify the study results through different cases to ensure the validity of the conclusions.
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Research context

OpenAlex topics: Topology Optimization in Engineering · Composite Structure Analysis and Optimization · Piezoelectric Actuators and Control

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

MAQLAB Research Group, Mechanical Engineering Department, University Carlos III de Madrid, 28911 Leganés, Spain

Pedro Juan de Lastanosa Research Institute, 28911 Leganés, Spain

MAQLAB Research Group, Department of Mechanics, Universidad Nacional de Educación a Distancia, 28040 Madrid, Spain

Funding

R&D and Innovation projects

References (40)

Show source-provided references
1. Topology Optimization Design of 3D Continuum Structure with Reserved Hole Based on Variable Density Method10.25103/jestr.092.20 ↗
2. LVIII. The Limits of Economy of Material in Frame-Structures10.1080/14786440409463229 ↗
3. Automatic Design of Optimal Structures
4. Generating Optimal Topologies in Structural Design Using a Homogenization Method10.1016/0045-7825(88)90086-2 ↗
5. Topology Optimization Approaches10.1007/s00158-013-0978-6 ↗
6. An Efficient 3D Topology Optimization Code Written in Matlab10.1007/s00158-014-1107-x ↗
7. A New Generation 99 Line Matlab Code for Compliance Topology Optimization and Its Extension to 3D10.1007/s00158-020-02629-w ↗
8. Optimal Shape Design as a Material Distribution Problem10.1007/BF01650949 ↗
9. Some Aspects of the Genesis of Structures10.1007/BF01744697 ↗
10. Optimal Design and Relaxation of Variational Problems, II10.1002/cpa.3160390202 ↗
11. A New Approach to Variable-Topology Shape Design Using a Constraint on Perimeter10.1007/BF01279647 ↗
12. A Robust Dual Algorithm for Topology Design of Structures in Discrete Variables10.1002/nme.88 ↗
13. Duysinx, P. (1997). Layout Optimization: A Mathematical Programming Approach, Danish Centre for Applied Mathematics and Mechanics.
14. The COC Algorithm, Part II: Topological, Geometrical and Generalized Shape Optimization10.1016/0045-7825(91)90046-9 ↗
15. Efficient Topology Optimization in MATLAB Using 88 Lines of Code10.1007/s00158-010-0594-7 ↗
16. Topology Optimization of Energy Storage Flywheel10.1007/s00158-016-1576-1 ↗
17. Topology Optimization with Multiple Phase Projection10.1016/j.cma.2009.09.023 ↗
18. Volume Preserving Projection Filters and Continuation Methods in Topology Optimization10.1016/j.engstruct.2014.10.052 ↗
19. Tyflopoulos, E., Flem, D.T., Steinert, M., and Olsen, A. (2018, January 14–17). State of the Art of Generative Design and Topology Optimization and Potential Research Needs. Proceedings of the DS 91: Proceedings of NordDesign 2018, Linköping, Sweden.
20. Bendsøe, M.P., and Sigmund, O. (2003). Topology Optimization: Theory, Methods, and Applications, Springer Science & Business Media. [2nd ed.].10.1007/978-3-662-05086-6_2 ↗
21. Topology Optimization of Non-Linear Elastic Structures and Compliant Mechanisms10.1016/S0045-7825(00)00278-4 ↗
22. Altair Engineering Inc. (2023). Altair OptiStruct Help Guide, Altair Engineering Inc.
23. Development of a Topology-optimized Indoor Crane Trolley for Additive Manufacturing10.1002/mawe.202200018 ↗
24. (2024, April 20). Dassault Systèmes SolidWorks Help Page. Available online: https://help.solidworks.com/.
25. (2024, April 20). PTC; Tonny Abbey PTC Creo Blogs. Available online: https://www.ptc.com/en/blogs/cad/what-is-topology-optimization.
26. Material Interpolation Schemes in Topology Optimization10.1007/s004190050248 ↗
27. Topology Optimization Considering Multi-Axis Machining Constraints Using Projection Methods10.1016/j.cma.2021.114464 ↗
28. Topology Optimization for Multi-Axis Machining10.1016/j.cma.2019.03.037 ↗
29. Topology Optimization with Accessibility Constraint for Multi-Axis Machining10.1016/j.cad.2020.102825 ↗
30. Morphology-Based Black and White Filters for Topology Optimization10.1007/s00158-006-0087-x ↗
31. On the Implementation and Effectiveness of Morphological Close-Open and Open-Close Filters for Topology Optimization10.1007/s00158-015-1393-y ↗
32. Combined Length Scale and Overhang Angle Control in Minimum Compliance Topology Optimization for Additive Manufacturing10.1007/s00158-018-2168-z ↗
33. Robust Topology Optimization of Photonic Crystal Waveguides with Tailored Dispersion Properties10.1364/JOSAB.28.000387 ↗
34. Optimality Criteria in Structural Design10.1073/pnas.61.3.794 ↗
35. Karush, W. (2014). Minima of Functions of Several Variables with Inequalities as Side Conditions, Springer.10.1007/978-3-0348-0439-4_10 ↗
36. Bendsøe, M.P. (1995). Optimization of Structural Topology, Shape, and Material, Springer. [1st ed.].10.1007/978-3-662-03115-5 ↗
37. A 99 Line Topology Optimization Code Written in Matlab10.1007/s001580050176 ↗
38. Density Filters for Topology Optimization Based on the Pythagorean Means10.1007/s00158-013-0938-1 ↗
39. On Projection Methods, Convergence and Robust Formulations in Topology Optimization10.1007/s00158-010-0602-y ↗
40. Vadillo Morillas, A., Meneses Alonso, J., Bustos Caballero, A., Sisamón, C.C., and Ceruti, A. (2024). Adaptive Variable Design Algorithm for Improving Topology Optimization in Additive Manufacturing Guided Design. Inventions, 9.10.20944/preprints202406.0077.v1 ↗