Abstract
The increasing importance of optimization in manufacturing processes led to the improvement of well established optimization techniques and to the development of new and innovative approaches. Among these, an approach that exploits surface stresses distribution to obtain an optimized configuration is the Biological Growth Method (BGM). Coupling this method with surface sculpting based on Radial Basis Functions (RBF) mesh morphing had proven to be efficient and effective in optimizing specific mechanical components. In this work, the automatic, meshless and constrained parameter-less optimization approach is applied to a classical mechanical component and then compared with a parameter-based shape optimisation result.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
ANSYS, Inc. http://www.ansys.com/products/structures. Accessed 29 July 2020
RBF Morph srl. http://www.rbf-morph.com/act-module/. Accessed 29 July 2020
Biancolini, M.E.: Mesh morphing and smoothing by means of radial basis functions (RBF): a practical example using Fluent and RBF Morph. In: Handbook of Research on Computational Science and Engineering: Theory and Practice, pp. 347–380. IGI Global (2011)
Biancolini, M.E.: Fast Radial Basis Functions for Engineering Applications. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-75011-8
Biancolini, M.E., Cella, U.: An advanced RBF morph application: coupled CFD CSM aeroelastic analysis of a full aircraft model and comparison to experimental data. In: MIRA International Vehicle Aerodynamics Conference, Grove, pp. 243–258 (2010)
Biancolini, M.E., Chiappa, A., Giorgetti, F., Porziani, S., Rochette, M.: Radial basis functions mesh morphing for the analysis of cracks propagation. Procedia Struct. Integrity 8, 433–443 (2018)
Davis, P.J.: Interpolation and Approximation. Blaisdell Publishing Company, New York (1963)
De Boer, A., Van der Schoot, M., Bijl, H.: Mesh deformation based on radial basis function interpolation. Comput. Struct. 85(11–14), 784–795 (2007)
Galland, F., Gravouil, A., Malvesin, E., Rochette, M.: A global model reduction approach for 3D fatigue crack growth with confined plasticity. Comput. Methods Appl. Mech. Eng. 200(5–8), 699–716 (2011)
Giorgetti, F., et al.: Crack propagation analysis of near-surface defects with radial basis functions mesh morphing. Procedia Struct. Integrity 12, 471–478 (2018)
Groth, C., Chiappa, A., Biancolini, M.E.: Shape optimization using structural adjoint and RBF mesh morphing. Procedia Struct. Integrity 8, 379–389 (2018)
Groth, C., Cella, U., Costa, E., Biancolini, M.E.: Fast high fidelity CFD/CSM fluid structure interaction using RBF mesh morphing and modal superposition method. In: Aircraft Engineering and Aerospace Technology (2019). https://doi.org/10.1108/AEAT-09-2018-0246
Heywood, R.B.: Photoelasticity for Designers. Pergamon Press, Oxford (1969)
Imaizumi, T., Ohkouchi, T., Ichikawa, S.: Shape optimization of the wire cross section of helical springs. SAE Tech. Paper 920775, 775 (1990)
Kamiya, N., Kita, E.: Boundary element method for quasi-harmonic differential equation with application to stress analysis and shape optimization of helical spring. Comput. Struct. 37(1), 81–86 (1990). https://www.sciencedirect.com/science/article/pii/004579499090199C
Lombardi, M., Parolini, N., Quarteroni, A.: Radial basis functions for inter-grid interpolation and mesh motion in FSI problems. Comput. Methods Appl. Mech. Eng. 256, 117 (2013)
Mattheck, C., Burkhardt, S.: A new method of structural shape optimization based on biological growth. Int. J. Fatigue 12(3), 185–190 (1990)
Papoutsis-Kiachagias, E.M., Porziani, S., Groth, C., Biancolini, M.E., Costa, E., Giannakoglou, K.C.: Aerodynamic optimization of car shapes using the continuous adjoint method and an RBF morpher. In: Minisci, E., Vasile, M., Periaux, J., Gauger, N.R., Giannakoglou, K.C., Quagliarella, D. (eds.) Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences. CMAS, vol. 48, pp. 173–187. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-89988-6_11
Porziani, S., Groth, C., Biancolini, M.E.: Automatic shape optimization of structural components with manufacturing constraints. Procedia Struct. Integrity 12, 416–428 (2018)
Porziani, S., Groth, C., Mancini, L., Cenni, R., Cova, M., Biancolini, M.E.: Optimisation of industrial parts by mesh morphing enabled automatic shape sculpting. Procedia Struct. Integrity 24, 724–737 (2019)
Porziani, S., Groth, C., Waldman, W., Biancolini, M.E.: Automatic shape optimisation of structural parts driven by BGM and RBF mesh morphing. Int. J. Mech. Sci. 105976 (2020). http://www.sciencedirect.com/science/article/pii/S0020740320306184
Staten, M.L., Owen, S.J., Shontz, S.M., Salinger, A.G., Coffey, T.S.: A comparison of mesh morphing methods for 3D shape optimization. In: Proceedings of the 20th International Meshing Roundtable, pp. 293–311. Springer, Cham (2011). https://doi.org/10.1007/978-3-642-24734-7_16
Wahl, A.M.: Mechanical Springs. McGraw-Hill Book Company Inc., New York (1963)
Waldman, W., Heller, M.: Shape optimisation of holes in loaded plates by minimisation of multiple stress peaks. Technical Report DSTO-RR-0412, Aerospace Division, Defence Science And Technology Organisation, Melbourne (2015)
Acknowledgements
The work here presented is developed within the research project “SMART MAINTENANCE OF INDUSTRIAL PLANTS AND CIVIL STRUCTURES BY 4.0 MONITORING TECHNOLOGIES AND PROGNOSTIC APPROACHES - MAC4PRO”, sponsored by the call BRIC-2018 of the National Institute for Insurance against Accidents at Work - INAIL.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Porziani, S., De Crescenzo, F., Lombardi, E., Iandiorio, C., Salvini, P., Biancolini, M.E. (2021). Automatic Optimization Method Based on Mesh Morphing Surface Sculpting Driven by Biological Growth Method: An Application to the Coiled Spring Section Shape. In: Paszynski, M., Kranzlmüller, D., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M. (eds) Computational Science – ICCS 2021. ICCS 2021. Lecture Notes in Computer Science(), vol 12746. Springer, Cham. https://doi.org/10.1007/978-3-030-77977-1_38
Download citation
DOI: https://doi.org/10.1007/978-3-030-77977-1_38
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-77976-4
Online ISBN: 978-3-030-77977-1
eBook Packages: Computer ScienceComputer Science (R0)