Data-driven modelling and optimization of stiffeners on undevelopable curved surfaces

• Published in: Structural and multidisciplinary optimization 2020-12, Vol.62 (6), p.3249-3269
• Main Authors: Tian, Kuo, Li, Hongqing, Huang, Lei, Huang, Hai, Zhao, Haixin, Wang, Bo
• Format: Article
• Language: English
• Subjects: Computational Mathematics and Numerical Analysis; Cross-sections; Domains; Engineering; Engineering Design; Finite element method; Global optimization; Machine learning; Mapping; Modelling; Neural networks; Optimization; Research Paper; Stiffeners; Structural weight; Theoretical and Applied Mechanics
• ISSN: 1615-147X; 1615-1488
• DOI: 10.1007/s00158-020-02675-4

Undevelopable stiffened curved shells have been widely used in engineering fields. The shape of the undevelopable curved surface is generally characterized with the non-straight generatrix and variable cross sections, which makes it challenging to automatically model and optimize stiffeners on the undevelopable curved surface. Therefore, the data-driven modelling and optimization framework are proposed for undevelopable stiffened curved shells in this paper. Firstly, a novel mesh deformation method is developed for the data-driven modelling of undevelopable stiffened curved shells based on RBF neural network machine learning method. Its main idea is to firstly define a developable curved shell (background mesh domain) having similar topological characteristics with the undevelopable curved shell (target mesh domain), and then train the mapping relationship between the background mesh domain and the target mesh domain by RBF neural network, and finally the complicated modelling problem of the undevelopable stiffened curved shell can be transformed into a simple modelling problem of developable stiffened curved shell by means of the mapping relationship. Moreover, based on the efficient global optimization (EGO) surrogate method, a data-driven layout optimization method is established for minimizing the structural weight of undevelopable stiffened curved shells. Finally, three representative optimization examples are carried out, including modelling and optimization of stiffeners on hyperbolic parabolic curved surfaces, blade-shaped curved surfaces and S-shaped variable cross-sectional curved surfaces. Optimal results indicate that the structural weight of undevelopable stiffened curved shells decreases significantly after the optimization, indicating the effectiveness of the proposed modelling and optimization framework.