@article{(Open Science Index):https://publications.waset.org/pdf/10002296, title = {Line Heating Forming: Methodology and Application Using Kriging and Fifth Order Spline Formulations}, author = {Henri Champliaud and Zhengkun Feng and Ngan Van LĂȘ and Javad Gholipour}, country = {}, institution = {}, abstract = {In this article, a method is presented to effectively estimate the deformed shape of a thick plate due to line heating. The method uses a fifth order spline interpolation, with up to C3 continuity at specific points to compute the shape of the deformed geometry. First and second order derivatives over a surface are the resulting parameters of a given heating line on a plate. These parameters are determined through experiments and/or finite element simulations. Very accurate kriging models are fitted to real or virtual surfaces to build-up a database of maps. Maps of first and second order derivatives are then applied on numerical plate models to evaluate their evolving shapes through a sequence of heating lines. Adding an optimization process to this approach would allow determining the trajectories of heating lines needed to shape complex geometries, such as Francis turbine blades.}, journal = {International Journal of Mechanical and Mechatronics Engineering}, volume = {9}, number = {9}, year = {2015}, pages = {1623 - 1628}, ee = {https://publications.waset.org/pdf/10002296}, url = {https://publications.waset.org/vol/105}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 105, 2015}, }