Abstract
Purpose Construct and investigate a method for optimizing the processes of forming thin-walled structures. A criterion for the optimization of deformation processes is introduced, which ensures minimal damage. Under the condition of a given tooling, the optimal control problem is posed to find the best path for deformation of the workpiece. In the space of solutions to optimal control problems developed by the methods, non-monotonic deformation trajectories should be included, taking into account partial unloading.
Design/methodology/approach. Modeling of technologies for forming double-curvature shells using CAE systems is considered. As devices for forming products from sheets and panels, equipment with numerical control is used, in particular, a reconfigurable rod punch and stretch forming equipment. Calculation of the optimal forming path of the workpiece is performed by modeling and analyzing the nonlinear deformation of the panel with contact constraints using the finite element method. A discrete optimal control problem is formulated, which is solved by the dynamic programming. The numerical method algorithms implemented in the MSC system Marc allow us to calculate the optimal parameters of the process equipment.
Findings. Calculations using the developed method of optimal trajectory for technological processes of forming are presented. The results of solving these problems are compared with known analytical and practical data.
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Acknowledgments
This research was financially supported from the Ministry of Education and Science of the Khabarovsk Territory of the Russian Federation (No. 74C/2020 from 24.08.2020).
The study was carried out using the equipment of the Center for Collective Use “New Materials and Technologies” on the basis of KnASU.
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Bormotin, K.S. (2021). Modeling and Optimization of Forming Processes of Aircraft Engineering Thin-Wall Structures. In: Shakirova, O.G., Bashkov, O.V., Khusainov, A.A. (eds) Current Problems and Ways of Industry Development: Equipment and Technologies. Lecture Notes in Networks and Systems, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-030-69421-0_2
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