DataVXInternational Journal of Mechanics and Materials in DesignPaper
journal article·2025-10

Leading edge topology optimization of wind turbine blades via an innovative level set method based on conformal geometry theory

Jiang Ding, Ziyang Zeng, Zhi Xing, Weihang Nong, Fei Wu

International Journal of Mechanics and Materials in Design· Volume 21· Issue 5
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OpenAlex topics: Topology Optimization in Engineering · Composite Structure Analysis and Optimization · Advanced Multi-Objective Optimization Algorithms

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References (44)

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1. Allaire, G., Jouve, F., Toader, A.-M.: Structural optimization using sensitivity analysis and a level-set method. J. Comput. Phys. 194, 363–393 (2004). https://doi.org/10.1016/j.jcp.2003.09.03210.1016/j.jcp.2003.09.032 ↗
2. Allaire, G.D.F., Jouve, F., Toader, A.-M.: Structural optimization using topological and shape sensitivity via a level set method. Control. Cybern. 34, 59–80 (2004). https://doi.org/10.1109/AUTEST.2005.160919210.1109/AUTEST.2005.1609192 ↗
3. Barrera, J.L., Geiss, M.J., Maute, K.: Minimum feature size control in level set topology optimization via density fields. Struct Multidisc Optim. 65, 94 (2022). https://doi.org/10.1007/s00158-021-03096-710.1007/s00158-021-03096-7 ↗
4. Bendsøe, M.P., Sigmund, O.: Topology optimization: theory, methods, and applications. Springer, Berlin (2003)
5. Buckney, N., Green, S., Pirrera, A., Weaver, P.M.: On the structural topology of wind turbine blades: on the structural topology of wind turbine blades. Wind Energy 16, 545–560 (2013). https://doi.org/10.1002/we.150410.1002/we.1504 ↗
6. Challis, V.J.: A discrete level-set topology optimization code written in Matlab. Struct. Multi. O. 41, 453–464 (2010). https://doi.org/10.1007/s00158-009-0430-010.1007/s00158-009-0430-0 ↗
7. Chapelle, D., Bathe, K.: The finite element analysis of shells-fundamentals. Springer, Berlin (2003)10.1007/978-3-662-05229-7 ↗
8. Chen, F., Wang, Y., Wang, M.Y., Zhang, Y.F.: Topology optimization of hyperelastic structures using a level set method. J. Comput. Phys. 351, 437–454 (2017). https://doi.org/10.1016/j.jcp.2017.09.04010.1016/j.jcp.2017.09.040 ↗
9. Choi, K., Kim, N.: Structural sensitivity analysis and optimization 1: linear systems. Springer, Berlin (2006)
10. Deng, Y., Liu, Z., Korvink, J.G.: Topology optimization on two-dimensional manifolds. Comput. Methods Appl. Mech. Eng. 364, 112937 (2020). https://doi.org/10.1016/j.cma.2020.11293710.1016/j.cma.2020.112937 ↗
11. Fan, X., Jia, Q., Huyan, K., Gu, X., Luo, Z.: 3D facial landmark localization using texture regression via conformal mapping. Pattern Recogn. Lett. 83, 395–402 (2016). https://doi.org/10.1016/j.patrec.2016.07.00510.1016/j.patrec.2016.07.005 ↗
12. Forcier, L.-C., Joncas, S.: Development of a structural optimization strategy for the design of next generation large thermoplastic wind turbine blades. Struct. Multidiscip. Opt. 45, 889–906 (2012). https://doi.org/10.1007/s00158-011-0722-z10.1007/s00158-011-0722-z ↗
13. Gu, X.D., Zeng, W., Luo, F., Yau, S.-T.: Numerical computation of surface conformal mappings. Comput. Meth. Funct. Th. 11, 747–787 (2012). https://doi.org/10.1007/BF0332188510.1007/BF03321885 ↗
14. Ha, S.-H., Cho, S.: Level set based topological shape optimization of geometrically nonlinear structures using unstructured mesh. Comput. Struct. 86, 1447–1455 (2008). https://doi.org/10.1016/j.compstruc.2007.05.02510.1016/j.compstruc.2007.05.025 ↗
15. Kang, Z., Wang, Y.: Structural topology optimization based on non-local Shepard interpolation of density field. Comput. Method Appl. Mech. Eng. 200, 3515–3525 (2011). https://doi.org/10.1016/j.cma.2011.09.00110.1016/j.cma.2011.09.001 ↗
16. Kong, C., Bang, J., Sugiyama, Y.: Structural investigation of composite wind turbine blade considering various load cases and fatigue life. Energy 30, 2101–2114 (2005). https://doi.org/10.1016/j.energy.2004.08.01610.1016/j.energy.2004.08.016 ↗
17. Li, Y., Cao, M., Tran-Ngoc, H., Khatir, S., Abdel Wahab, M.: Multi-parameter identification of concrete dam using polynomial chaos expansion and slime mould algorithm. Comput. Struct. 281, 107018 (2023). https://doi.org/10.1016/j.compstruc.2023.10701810.1016/j.compstruc.2023.107018 ↗
18. Li, Y., Minh, H.-L., Khatir, S., Sang-To, T., Cuong-Le, T., Cao, M., Abdel Wahab, M.: Structure damage identification in dams using sparse polynomial chaos expansion combined with hybrid K-means clustering optimizer and genetic algorithm. Eng. Struct. 283, 115891 (2023b). https://doi.org/10.1016/j.engstruct.2023.11589110.1016/j.engstruct.2023.115891 ↗
19. Li, H., Gao, H., Liang, J., Li, Z., Xu, H., Zheng, C.: A level set based topology optimization for elastodynamic problems using BEM. Front. Phys. 12, 1426846 (2024). https://doi.org/10.3389/fphy.2024.142684610.3389/fphy.2024.1426846 ↗
20. Luo, Z., Chen, L.-P., Yang, J., Zhang, Y.-Q.: Multiple stiffness topology optimizations of continuum structures. Int. J. Adv. Manuf. Technol. 30, 203–214 (2006). https://doi.org/10.1007/s00170-005-0084-z10.1007/s00170-005-0084-z ↗
21. Luo, Z., Zhang, N., Wang, Y., Gao, W.: Topology optimization of structures using meshless density variable approximants. Int. J. Numer. Meth. Eng. 93, 443–464 (2013). https://doi.org/10.1002/nme.439410.1002/nme.4394 ↗
22. Moss, A., Macquart, T., Panesar, A., Forrest, M., Greaves, P., Pirrera, A.: Structural design of wind turbine blades with an additively manufactured graded lattice core using topology optimisation. J. Phys.: Conf. Ser. 2265, 032004 (2022). https://doi.org/10.1088/1742-6596/2265/3/03200410.1088/1742-6596/2265/3/032004 ↗
23. Narra, N., Abe, S., Dimitrov, V., Nikander, R., Kouhia, R., Sievänen, H., Hyttinen, J.: Ricci-flow based conformal mapping of the proximal femur to identify exercise loading effects. Sci. Rep. Mar. 8, (1):4823 (2018) https://doi.org/10.1038/s41598-018-23248-y10.1038/s41598-018-23248-y ↗
24. Noda, M., Noguchi, Y., Yamada, T.: Extended level set method: a multiphase representation with perfect symmetric property, and its application to multi-material topology optimization. Comput. Methods Appl. Mech. Eng. 393, 114742 (2022). https://doi.org/10.1016/j.cma.2022.11474210.1016/j.cma.2022.114742 ↗
25. Osher, S., Fedkiw, R.P.: Level set methods: an overview and some recent results. J. Comput. Phys. 169, 463–502 (2001). https://doi.org/10.1006/jcph.2000.663610.1006/jcph.2000.6636 ↗
26. Osher, S., Fedkiw, R.P.: Level set methods and dynamic implicit surface. Springer, New York (2002)
27. Park, K.-S., Youn, S.-K.: Topology optimization of shell structures using adaptive inner-front (AIF) level set method. Struct. Multidisc. Optim. 36, 43–58 (2008). https://doi.org/10.1007/s00158-007-0169-410.1007/s00158-007-0169-4 ↗
28. Ping, M., Jia, X., Papadimitriou, C., Han, X., Jiang, C., Yan, W.-J.: A hierarchical Bayesian modeling framework for identification of non-Gaussian processes. Mech. Syst. Signal Process. 208, 110968 (2024). https://doi.org/10.1016/j.ymssp.2023.11096810.1016/j.ymssp.2023.110968 ↗
29. Qin, S., Feng, J., Tang, J., Huo, X., Zhou, Y., Yang, F., Abdel Wahab, M.: Condition assessment of a concrete filled steel tube arch bridge using in-situ vibration measurements and an improved artificial fish swarm algorithm. Comput. Struct. 291, 107213 (2024). https://doi.org/10.1016/j.compstruc.2023.10721310.1016/j.compstruc.2023.107213 ↗
30. Seifert, R., Patil, M., Seidel, G.: Topology optimization of self-sensing nanocomposite structures with designed boundary conditions. Smart Mater. Struct. 28, 074006 (2019). https://doi.org/10.1088/1361-665X/ab117910.1088/1361-665X/ab1179 ↗
31. Sethian, J.A., Wiegmann, A.: Structural boundary design via level set and immersed interface methods. J. Comput. Phys. 163, 489–528 (2000). https://doi.org/10.1006/jcph.2000.658110.1006/jcph.2000.6581 ↗
32. Takahira, H., Horiuchi, T., Banerjee, S.: An improved three-dimensional level set method for gas-liquid two-phase flows. J. Fluids Eng. 126, 578–585 (2004). https://doi.org/10.1115/1.177723210.1115/1.1777232 ↗
33. Tian, J., Li, M., Han, Z., Chen, Y., Gu, X.D., Ge, Q.J., Chen, S.: Conformal topology optimization of multi-material ferromagnetic soft active structures using an extended level set method. Comput. Method Appl. Mech. Eng. 389, 114394 (2022). https://doi.org/10.1016/j.cma.2021.11439410.1016/j.cma.2021.114394 ↗
34. Tran, V.-T., Nguyen, T.-K., Nguyen-Xuan, H., Abdel Wahab, M.: Vibration and buckling optimization of functionally graded porous microplates using BCMO-ANN algorithm. Thin-Walled Struct. 182, 110267 (2023). https://doi.org/10.1016/j.tws.2022.11026710.1016/j.tws.2022.110267 ↗
35. van Dijk, N.P., Maute, K., Langelaar, M., van Keulen, F.: Level-set methods for structural topology optimization: a review. Struct. Multidiscip. Opt. 48, 437–472 (2013). https://doi.org/10.1007/s00158-013-0912-y10.1007/s00158-013-0912-y ↗
36. Vogiatzis, P., Chen, S., Zhou, C.: An open source framework for integrated additive manufacturing and level-set-based topology optimization. J. Comput. Inf. Sci. Eng. 17, 041012 (2017). https://doi.org/10.1115/1.403773810.1115/1.4037738 ↗
37. Vogiatzis, P., Ma, M., Chen, S., Gu, X.D.: Computational design and additive manufacturing of periodic conformal metasurfaces by synthesizing topology optimization with conformal mapping. Comput. Method Appl. Mech. Eng. 328, 477–497 (2018). https://doi.org/10.1016/j.cma.2017.09.01210.1016/j.cma.2017.09.012 ↗
38. Wang, Y., Kang, Z.: MATLAB implementations of velocity field level set method for topology optimization: an 80-line code for 2D and a 100-line code for 3D problems. Struct. Multidisc. Optim. 64, 4325–4342 (2021). https://doi.org/10.1007/s00158-021-02958-410.1007/s00158-021-02958-4 ↗
39. Wang, M.Y., Wang, X., Guo, D.: A level set method for structural topology optimization. Comput. Method Appl. Mech. Eng. 192, 227–246 (2003). https://doi.org/10.1016/S0045-7825(02)00559-510.1016/S0045-7825(02)00559-5 ↗
40. Wei, P., Li, Z., Li, X., Wang, M.Y.: An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions. Struct. Multidisc. Optim. 58, 831–849 (2018). https://doi.org/10.1007/s00158-018-1904-810.1007/s00158-018-1904-8 ↗
41. Xie, Y.M., Steven, G.P.: A simple evolutionary procedure for structural optimization. Comput. Struct. 49, 885–896 (1993). https://doi.org/10.1016/0045-7949(93)90035-C10.1016/0045-7949(93)90035-C ↗
42. Ye, Q., Guo, Y., Chen, S., Lei, N., Gu, X.D.: Topology optimization of conformal structures on manifolds using extended level set methods (X-LSM) and conformal geometry theory. Comput. Method Appl. Mech. Eng. 344, 164–185 (2019). https://doi.org/10.1016/j.cma.2018.08.04510.1016/j.cma.2018.08.045 ↗
43. Yulin, M., Xiaoming, W.: A level set method for structural topology optimization and its applications. Adv. Eng. Softw. 35, 415–441 (2004). https://doi.org/10.1016/j.advengsoft.2004.06.00410.1016/j.advengsoft.2004.06.004 ↗
44. Zuo, K.-T., Chen, L.-P., Zhang, Y.-Q., Yang, J.: Manufacturing- and machining-based topology optimization. Int. J. Adv. Manuf. Tech. 27, 531–536 (2006). https://doi.org/10.1007/s00170-004-2210-810.1007/s00170-004-2210-8 ↗