Research Paper:
Design Optimization of Continuous Fiber Arrangement Using Lamination Parameters in Material Extrusion-Based Additive Manufacturing
Koki Jimbo*,, Tohru Shitani**, Satoshi Nakajima**, and Shinya Morita*
*Tokyo Denki University
5 Senju Asahi-cho, Adachi-ku, Tokyo 120-8551, Japan
Corresponding author
**Chuo Engineering Co., Ltd.
Tokyo, Japan
Continuous carbon fiber-reinforced polymer (CFRP) can be used in material extrusion-based additive manufacturing (AM). By appropriately arranging and orienting the continuous fibers, lightweight or high-strength mechanical parts and structures with complex deformation behavior and locally modified stiffness can be fabricated. Although many studies have been conducted to optimize the arrangement of continuous fibers fabricated using CFRP in AM, most of them have focused on the mechanical properties of the fabricated object in the lamination plane. This focus is due to the characteristics of AM, in which continuous fibers are placed in a plane and then layered, allowing for optimization at a relatively low computational cost. However, the computational cost of targeting mechanical properties outside the fabrication plane is enormous, making optimization design difficult. Furthermore, if the fiber material is arranged discontinuously, a process to cut the fibers is required during fabrication, resulting in decreased productivity and fabrication accuracy. Therefore, it is necessary to optimize the fiber arrangement, considering the continuity of the fiber material. To address these problems, this study aims to propose an efficient fiber arrangement optimization method, considering the continuity of the fiber material. For efficient stiffness optimization, the stiffness is represented by a combination of lamination parameters that have been used in the lamination design of CFRP sheets. A genetic algorithm was employed as the optimization algorithm. The proposed method using lamination parameters was implemented, and a case study of fiber arrangement optimization was performed on a simple structure. In addition, a full search was performed to evaluate all possible fiber arrangements for the target structure. The results of the proposed method and the full search confirmed the reliability of the proposed method, which achieved results that were equivalent to the best results obtained in the full search. In addition, a conventional method that directly optimizes the fiber arrangement as a design parameter was implemented. This result was compared with that of the proposed method. For a simple structure with a small number of layers, averaged over 20 runs, the conventional method converged faster than the proposed method, but the convergence speed worsened as the number of layers increased. Moreover, the fiber arrangement obtained by the conventional method was less continuous than the result of the proposed method. These results confirm the usefulness of the proposed method.
- [1] S. Wang, R. Badarinath, E.-A. Lehtihet, and V. Prabhu, “Evaluation of additive manufacturing processes in fabrication of personalized robot,” Int. J. Automation Technol., Vol.11, No.1, pp. 29-37, 2017. https://doi.org/10.20965/ijat.2017.p0029
- [2] M. Tomlin and J. Meyer, “Topology optimization of an additive layer manufactured (ALM) aerospace part,” The 7th Altair CAE Technology Conf., 2011.
- [3] G. A. da Silva, A. T. Beck, and O. Sigmund, “Topology optimization of compliant mechanisms considering stress constraints, manufacturing uncertainty and geometric nonlinearity,” Computer Methods in Applied Mechanics and Engineering, Vol.365, Article No.112972, 2020. https://doi.org/10.1016/j.cma.2020.112972
- [4] T. Tateno, “Anisotropic stiffness design for mechanical parts fabricated by multi-material additive manufacturing,” Int. J. Automation Technol., Vol.10, No.2, pp. 231-238, 2016. https://doi.org/10.20965/ijat.2016.p0231
- [5] A. T. Gaynor, N. A. Meisel, C. B. Williams, and J. K. Guest, “Multiple-material topology optimization of compliant mechanisms created via PolyJet three-dimensional printing,” J. of Manufacturing Science and Engineering, Vol.136, No.6, Article No.061015, 2014. https://doi.org/10.1115/1.4028439
- [6] T. Tateno, A. Kakuta, H. Ogo, and T. Kimoto, “Ultrasonic vibration-assisted extrusion of metal powder suspension for additive manufacturing,” Int. J. Automation Technol., Vol.12, No.5, pp. 775-783, 2018. https://doi.org/10.20965/ijat.2018.p0775
- [7] N. van de Werken et al., “Additively manufactured carbon fiber-reinforced composites: State of the art and perspective,” Additive Manufacturing, Vol.31, Article No.100962, 2020. https://doi.org/10.1016/j.addma.2019.100962
- [8] M. Kato, Y. Kakinuma, Y. Shirakawa, K. Iijima, and Y. Iwashita, “Positioning performance evaluation for light-weight rotary stage CFRP application,” Int. J. Automation Technol., Vol.14, No.1, pp. 80-90, 2020. https://doi.org/10.20965/ijat.2020.p0080
- [9] T. Ikari and H. Tanaka, “Development of press molding preform design and fabrication method with unfolded diagram for CFRP,” Int. J. Automation Technol., Vol.13, No.2, pp. 301-309, 2019. https://doi.org/10.20965/ijat.2019.p0301
- [10] R. Matsuzaki et al., “Three-dimensional printing of continuous-fiber composites by in-nozzle impregnation,” Scientific Reports, Vol.6, Article No.23058, 2016. https://doi.org/10.1038/srep23058
- [11] A. N. Dickson, J. N. Barry, K. A. McDonnell, and D. P. Dowling, “Fabrication of continuous carbon, glass and Kevlar fibre reinforced polymer composites using additive manufacturing,” Additive Manufacturing, Vol.16, pp. 146-152, 2017. https://doi.org/10.1016/j.addma.2017.06.004
- [12] Z. Yang, K. Fu, Z. Zhang, J. Zhang, and Y. Li, “Topology optimization of 3D-printed continuous fiber-reinforced composites considering manufacturability,” Composites Science and Technology, Vol.230, Part 1, Article No.109727, 2022. https://doi.org/10.1016/j.compscitech.2022.109727
- [13] H. Li, L. Gao, H. Li, and H. Tong, “Spatial-varying multi-phase infill design using density-based topology optimization,” Computer Methods in Applied Mechanics and Engineering, Vol.372, Article No.113354, 2020. https://doi.org/10.1016/j.cma.2020.113354
- [14] S. Koizumi, T. Kawamura, and T. Mochizuki, “Study on CAM software for additive manufacturing with FDM method,” Int. J. Automation Technol., Vol.11, No.5, pp. 835-843, 2017. https://doi.org/10.20965/ijat.2017.p0835
- [15] A. Nishiyama et al., “Process planning with removal of melting penetration and temper colors in 5-axis hybrid additive and subtractive manufacturing,” Int. J. Automation Technol., Vol.17, No.4, pp. 356-368, 2023. https://doi.org/10.20965/ijat.2023.p0356
- [16] K. Yamamoto et al., “A novel single-stroke path planning algorithm for 3D printers using continuous carbon fiber reinforced thermoplastics,” Additive Manufacturing, Vol.55, Article No.102816, 2022. https://doi.org/10.1016/j.addma.2022.102816
- [17] K. Jimbo and T. Tateno, “Design optimization of infill pattern structure and continuous fiber path for CFRP-AM: Simultaneous optimization of topology and fiber arrangement for minimum material cost,” Precision Engineering, Vol.74, pp. 447-459, 2022. https://doi.org/10.1016/j.precisioneng.2021.10.009
- [18] K. Jimbo and T. Tateno, “Graph-based optimization of continuous extrusion path in FRP-AM for compliant mechanism fabrication,” J. of Advanced Mechanical Design, Systems, and Manufacturing, Vol.17, No.1, Article No.22-00197, 2023. https://doi.org/10.1299/jamdsm.2023jamdsm0005
- [19] A. Todoroki and M. Sasai, “Stacking sequence optimizations using GA with zoomed response surface on lamination parameters,” Advanced Composite Materials, Vol.11, No.3, pp. 299-318, 2002. https://doi.org/10.1163/156855102762506335
- [20] A. Todoroki, T. Shinoda, Y. Mizutani, and R. Matsuzaki, “New surrogate model to predict fracture of laminated CFRP for structural optimization,” J. of Computational Science and Technology, Vol.5, No.1, pp. 26-37, 2011. https://doi.org/10.1299/jcst.5.26
- [21] K. Deb and S. Gulati, “Design of truss-structures for minimum weight using genetic algorithms,” Finite Elements in Analysis and Design, Vol.37, No.5, pp. 447-465, 2001. https://doi.org/10.1016/S0168-874X(00)00057-3
- [22] K. Jimbo and T. Tateno, “FEM simulation as an element based on infill pattern structures fabricated with CFRP-AM,” J. of the Japan Society for Precision Engineering, Vol.87, No.1, pp. 127-133, 2021 (in Japanese). https://doi.org/10.2493/jjspe.87.127
- [23] Anisoprint Support, “Composer A4 & A3: User Manual.” https://support.anisoprint.com/composer/manual/ [Accessed May 20, 2024]
This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.