<p>Hydroforming is used in sheet metal manufacturing for creating complex shapes and lightweight designs. Still, understanding its process parameters relies on widespread experimentation and time consuming simulations. This study represents a Physics Informed Neural Network (PINN) surrogate that aims to predict two crucial hydroforming outputs, dome height, and blank diameter. Trained on 21 data points, the proposed approach incorporates a simplified physics inspired constraint intended to regularize learning into its training objective, rather than a full description of the hydroforming process. Dome height predictions show agreement with experimental measurements, giving an R<sup>2</sup> of 1.000 and a root mean square error (RMSE) of 0.0147&#xa0;mm. Blank diameter prediction, which is more inspiring due to complex material flow remaining stable (R<sup>2</sup> = 0.9415, RMSE = 0.2901&#xa0;mm). The training losses show rapid initial improvement, followed by brief modifications as the network balances the objectives. While the present formulation adopts simplified assumptions and is not intended to replace detailed finite element simulations, the approach shows potential as a surrogate model for preliminary analysis, trend prediction, and early-stage process exploration in hydroforming. Although, the current model has simplified assumptions, the framework can be further refined as additional data and physics are incorporated. Future work will focus on expanding the experimental dataset and investigating adaptive loss weighting, transfer learning across multiple different geometries, and integrating multi fidelity simulation data. This preliminary study demonstrates that combining data with the first principles of physics through PINNs is an early, yet important step.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

How Neural Network Can Predict Dome Height and Blank Diameter: A Physics-Informed Hydroforming Neural Network (PIHNN)

  • Aparajita Mukherjee,
  • Dwaipayan De,
  • Soumya Banerjee

摘要

Hydroforming is used in sheet metal manufacturing for creating complex shapes and lightweight designs. Still, understanding its process parameters relies on widespread experimentation and time consuming simulations. This study represents a Physics Informed Neural Network (PINN) surrogate that aims to predict two crucial hydroforming outputs, dome height, and blank diameter. Trained on 21 data points, the proposed approach incorporates a simplified physics inspired constraint intended to regularize learning into its training objective, rather than a full description of the hydroforming process. Dome height predictions show agreement with experimental measurements, giving an R2 of 1.000 and a root mean square error (RMSE) of 0.0147 mm. Blank diameter prediction, which is more inspiring due to complex material flow remaining stable (R2 = 0.9415, RMSE = 0.2901 mm). The training losses show rapid initial improvement, followed by brief modifications as the network balances the objectives. While the present formulation adopts simplified assumptions and is not intended to replace detailed finite element simulations, the approach shows potential as a surrogate model for preliminary analysis, trend prediction, and early-stage process exploration in hydroforming. Although, the current model has simplified assumptions, the framework can be further refined as additional data and physics are incorporated. Future work will focus on expanding the experimental dataset and investigating adaptive loss weighting, transfer learning across multiple different geometries, and integrating multi fidelity simulation data. This preliminary study demonstrates that combining data with the first principles of physics through PINNs is an early, yet important step.