An analytical model to predict bending angles in high-frequency induction heat forming

作者:Chen, J.; Qi, Y.; Shi, Y.*; Bi, Z.
来源:Proceedings of the Institution of Mechanical Engineers - Part C: Journal of Mechanical Engineering Science , 2010, 224(C3): 655-660.
DOI:10.1243/09544062JMES1910

摘要

In induction heat forming, the deformation field of the metal plate is dependent on the temperature field. In the investigations on the temperature field, by defining a dimensionless temperature and a special Y-coordinate, it can be found that temperature distributions in the Y'-direction are similar for different thicknesses. To predict the bending deformation, an analytical model of temperature distribution is derived based on the similarity of temperatures at different thicknesses. An analytical model of the bending angle under the temperature gradient mechanism in the straight-line induction heat forming is obtained using the above temperature model. The proposed model is parametric and considers the dimensions of the plate and the laser process parameters. To verify the proposed model, the bending angles calculated by the analytical model are compared with those measured experimentally. The analytical results of the bending angle generally show good agreement with the experimental results. This investigation will be helpful for determining the heating conditions required for producing complex shapes of the plate.