A Computational Framework for Electric Scooter Neck Design Using Non-Uniform Rational B-Spline-Based Geometric Reconstruction of Topology-Optimized Structures
Source abstract
Abstract
This study presents a hybrid Non-Uniform Rational B-Spline (NURBS) methodology for the geometric reconstruction of topology-optimized structural components. NURBS are employed exclusively as a post-processing tool; all structural analyses are performed using standard finite elements (SOLID187 elements, ANSYS Mechanical R19.2), and isogeometric analysis (IGA) is not used. The methodology is validated on an Al 6061-T6 electric scooter neck under a 600 N static load. Two SIMP optimization iterations followed by a hybrid NURBS reconstruction reduce the component mass from 1.247 kg to 0.531 kg, achieving a 57.4% mass reduction. Finite element re-validation of the reconstructed geometry yields a maximum von Mises stress of 126.45 MPa (safety factor, SF = 2.18, exceeding the 2.0 requirement), a maximum deflection of 2.31 mm, and a first natural frequency of 127 Hz. Mesh convergence between the 2.5 mm and 1.25 mm refinements is Δ = 0.90%. Relative to the direct SIMP output (201 MPa), NURBS reconstruction reduces the peak stress by 37%, demonstrating that geometric post-processing is not a neutral step but a critical determinant of structural performance. Both fully automated STL reconstruction and edge-based NURBS reconstruction failed for this geometry class due to non-manifold topology and patch discontinuities, respectively. The proposed hybrid region-decomposition approach is the only method that has produced a watertight, FEA-compatible CAD model.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Topology Optimization in Engineering · Advanced Multi-Objective Optimization Algorithms · Advanced Numerical Analysis Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fes 30000, Morocco
Department of Mechanical Engineering, Faculty of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania
Institute of Solid Mechanics, Romanian Academy, Str. C. Mille 15, 0590643 Bucharest, Romania
References (23)
Show source-provided references
1. Şengül, B., and Mostofi, H. (2021). Impacts of E-Micromobility on the Sustainability of Urban Transportation—A Systematic Review. Appl. Sci., 11.10.3390/app11135851 ↗
2. Mesicek, J., Jancar, L., Ma, Q.-P., Hajnys, J., Tanski, T., Krpec, P., and Pagac, M. (2021). Comprehensive View of Topological Optimization Scooter Frame Design and Manufacturing. Symmetry, 13.10.3390/sym13071201 ↗
3. Optimal shape design as a material distribution problem10.1007/BF01650949 ↗
4. Rozvany, G.I.N. (2000, January 6–8). The SIMP method in topology optimization: Theoretical background, advantages and new applications. Proceedings of the 8th Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, USA.10.2514/6.2000-4738 ↗
5. Takezawa, A. (2023). Topology Optimization. Springer Handbooks, Springer.10.1007/978-3-031-20752-5_18 ↗
6. Papadopoulos, I.P.A. (2024). Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity. arXiv.10.1007/s00211-024-01438-3 ↗
7. Li, Z., Xu, H., Zhang, S., Cui, J., and Liu, X. (2025). Design of the multi-material structure using an MMC-SIMP sequential topology optimization method. PLoS ONE, 20.10.1371/journal.pone.0321100 ↗
8. Kim, M.G., Choi, J.W., and Jung, J.J. (2025). Two-dimensional topology optimization of headtube in electric scooter considering multiple loads. Appl. Sci., 15.10.3390/app15052829 ↗
9. Automatic reconstruction of 3D topology optimization to editable CAD model with rotation minimizing frames
10. Flexible feature mapping topology optimization using NURBS-based component projection10.1007/s00158-025-04047-2 ↗
11. A topology optimization method for problems with design-dependent loads based on non-uniform rational basis spline entities10.1080/15376494.2023.2294495 ↗
12. Ali, M., Saini, D., Kumar, S., and Sait, A.R.W. (2025). Optimization-Driven Reconstruction of 3D Space Curves from Two Views Using NURBS. Mathematics, 13.10.3390/math13142256 ↗
13. The Future of NURBS in CAD: Trends and Innovations10.1051/matecconf/202541505002 ↗
14. Gallier, J. (2000). Curves and Surfaces in Geometric Modelling—Theory and Algorithms, Morgan Kaufmann.
15. Piegl, L., and Tiller, W. (1997). The NURBS Book, Springer. [2nd ed.].10.1007/978-3-642-59223-2 ↗
16. Cottrell, J.A., Hughes, T.J.R., and Bazilevs, Y. (2009). Isogeometric Analysis: Toward Integration of CAD and FEA, Wiley.10.1002/9780470749081 ↗
17. Application of the extended isogeometric analysis (X-IGA) to evaluate a pipeline structure containing an external crack
18. Two- and three-dimensional isogeometric cohesive elements for composite delamination analysis10.1016/j.compositesb.2013.12.018 ↗
19. Resolution of stokes equations with the Ca,b boundary condition using mixed finite element method
20. Numerical simulations of a mountain wave observed during the Pyrenees Experiment’: Hydrostatic/non hydrostatic comparison and time evolution
21. (2026, April 15). CAD Modeling and Design Toolkit. Available online: www.rhino3d.com.
22. (2023). Cycles—Safety Requirements for Bicycles—Part 6: Frame and Fork Test Methods, 3rd ed. (Standard No. ISO 4210-6:2023). Available online: https://www.iso.org/standard/78081.html.
23. The variable-radius notch: Two new methods for reducing stress concentration10.1016/j.engfailanal.2010.12.012 ↗