%0 Journal Article
	%A Henri Champliaud and  Zhengkun Feng and  Ngan Van LĂȘ and  Javad Gholipour
	%D 2015
	%J International Journal of Mechanical and Mechatronics Engineering
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 105, 2015
	%T Line Heating Forming: Methodology and Application Using Kriging and Fifth Order Spline Formulations
	%U https://publications.waset.org/pdf/10002296
	%V 105
	%X 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.
	%P 1623 - 1628