Abstract
Structural analysis and design optimization play a crucial role in engineering systems. However, the computational cost of high-fidelity (HF) simulation models, such as finite element analysis (FEA), poses a challenge, especially for multidisciplinary systems. To address this issue, metamodel techniques have been developed to construct approximate models that replace time-consuming HF simulation models. Among these techniques, the deep neural network method shows promise in solving high-dimensional and nonlinear regression problems. This paper presents a non-parametric deep learning metamodel method for stress field distribution prediction using point cloud data. By collecting the coordinates of grid vertices on the structural surface, a map** relationship is established from the point clouds to the stress field distribution. The proposed method eliminates the need for additional data segmentation and interpolation, thereby enabling efficient stress field prediction for arbitrary 2D/3D geometries. The adoption of this method significantly reduces the computational costs compared to traditional finite element analysis. The results indicate that the proposed method provides detailed field distributions while maintaining prediction accuracy.
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References
Cao, Y., Currie, C., Onggo, B.S., Higgins, M.: Simulation optimization for a digital twin using a multi-fidelity framework. In: 2021 Winter Simulation Conference (WSC), pp. 1–12. IEEE, Phoenix, AZ, USA (2021)
Roy, P.C., Blank, J., Hussein, R., Deb, K.: Trust-region based algorithms with low-budget for multi-objective optimization. In: Proceedings of the Genetic and Evolutionary Computation Conference Companion, pp. 195–196. Association for Computing Machinery, Kyoto, Japan (2018)
Li, J., Zhang, M., Martins, J.R.R.A., Shu, C.: Efficient aerodynamic shape optimization with deep-learning-based geometric filtering. AIAA J. 58(10), 4243–4259 (2020)
Li, Y., Bao, T., Gao, Z., Shu, X., Zhang, K., **e, L., Zhang, Z.: A new dam structural response estimation paradigm powered by deep learning and transfer learning techniques. Struct. Health Monit. 21(3), 770–787 (2022)
**ang, Z., Bao, Y., Tang, Z., Li, H.: Deep reinforcement learning-based sampling method for structural reliability assessment. Reliab. Eng. Syst. Saf. 199, 106901 (2020)
Yu, Y., Hur, T., Jung, J., Jang, I.G.: Deep learning for determining a near-optimal topological design without any iteration. Struct. Multidiscip. Optim. 59(3), 787–799 (2019)
Guo, R., Sui, F., Yue, W., Wang, Z., Pala, S., Li, K., Xu, R., Lin, L.: Deep learning for non-parameterized MEMS structural design. Microsyst. Nanoeng. 8(1), 91 (2022)
Guo, X., Li, W., Iorio, F.: Convolutional neural networks for steady flow approximation. In: Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 481–490. Association for Computing Machinery, San Francisco, California, USA (2016)
Duru, C., Alemdar, H., Baran, Ö.U.: CNNFOIL: convolutional encoder decoder modeling for pressure fields around airfoils. Neural Comput. Appl. 33(12), 6835–6849 (2021)
**ong, F., Zhang, L., **ao, H.U., Chengkun, R.E.N.: A point cloud deep neural network metamodel method for aerodynamic prediction. Chin. J. Aeronaut. 36(4), 92–103 (2023)
Chen, H., Qian, W., Lei, H.E.: Aerodynamic coefficient prediction of airfoils based on deep learning. Acta Aerodyn. Sin. 36(2), 294–299 (2018)
Wang, W., Wu, Z., Wang, D., Yang, J., Wang, P., Zhang, W.: Hypersonic vehicle aerodynamic optimization using field metamodel-enhanced sequential approximate optimization. Int. J. Aerosp. Eng. 2021, 1–12 (2021)
Weinmeister, J., Gao, X., Roy, S.: Analysis of a polynomial chaos-kriging metamodel for uncertainty quantification in aerodynamics. AIAA J. 57(6), 1–17 (2019)
Sederberg, T.W., Parry, S.R.: Free-form deformation of solid geometric models. In: Proceedings of the 13th Annual Conference on Computer Graphics and Interactive Techniques, pp. 151–160. Association for Computing Machinery, New York, NY (1986)
Wang, L.: A NURBS-Based Computational Tool for Hydrodynamic Optimization of Ship Hull Forms. George Mason University (2015)
Moenning, C., Dodgson, N.A.: Fast marching farthest point sampling for implicit surfaces and point clouds. Comput. Lab. Tech. Rep. 565, 1–12 (2003)
Chai, K.Y., Stenzel, J., Jost, J.: Generation, classification and segmentation of point clouds in logistic context with PointNet++ and DGCNN. In: 2020 3rd International Conference on Intelligent Robotic and Control Engineering (IRCE), pp. 31–36. IEEE, Oxford, UK (2020)
Chen, L., Zhang, Q.: DDGCN: graph convolution network based on direction and distance for point cloud learning. Vis. Comput. 39(3), 863–873 (2023)
Sun, S., Huang, R.: An adaptive k-nearest neighbor algorithm. In: 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery, vol. 1, pp. 91–94. IEEE, Yantai, China (2010)
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Yang, H., Wang, B., Wu, J., Ma, M., **ong, F. (2024). Fast Prediction of Structural Stress Field Using Point Cloud Deep Learning. In: Tan, J., Liu, Y., Huang, HZ., Yu, J., Wang, Z. (eds) Advances in Mechanical Design. ICMD 2023. Mechanisms and Machine Science, vol 155. Springer, Singapore. https://doi.org/10.1007/978-981-97-0922-9_175
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DOI: https://doi.org/10.1007/978-981-97-0922-9_175
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