Development of a New Finite-Element Method to Analyze Deformation of Plate Due to Line Heating
The line heating process has been used to create curved surfaces of ship structures. However, because it depends on a worker's skill and experience, it has been a factor in preventing the automation of shipyards and in consuming labor costs. In this paper, to reduce the trial-and-error procedure of line heating work by simulating the deforming process of a plate, a finite-element analysis method is proposed. A new element, called the line heating element, is defined and applied. The line heating element is assumed to have orthotropic material property. Shrinkage forces and moments resulting from line heating are obtained by integration of inherent strains formed by local heating and cooling. The shrinkage forces and moments at the inherent strain region are converted to equivalent nodal forces by the energy principle. Results calculated using the line heating element show good agreement with the results obtained by the commercial finite-element analysis code.