2001
DOI: 10.1007/bf03185120
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Mechanics-based determination of the center roller displacement in three-roll bending for smoothly curved rectangular plates

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Cited by 13 publications
(3 citation statements)
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“…Figure 16 shows the results, and indeed the resulting push unit movement is aligned with the length axis of the undeformed part of the RHS. With respect to the feeding phase, Shin et al [25] derived a method to predict the required centre roll displacement, in Figure 2, for a certain desired curvature of a plate. Using similar principles, a relation is derived here between the required curvature of the RHS, and the corresponding centre roll displacement , the angular velocities of the rolls , , and (Figure 2) and the corresponding bi-axial movement of the push unit in -and -direction, ℎ and ℎ respectively, to simulate .…”
Section: Geometry and Materialsmentioning
confidence: 99%
“…Figure 16 shows the results, and indeed the resulting push unit movement is aligned with the length axis of the undeformed part of the RHS. With respect to the feeding phase, Shin et al [25] derived a method to predict the required centre roll displacement, in Figure 2, for a certain desired curvature of a plate. Using similar principles, a relation is derived here between the required curvature of the RHS, and the corresponding centre roll displacement , the angular velocities of the rolls , , and (Figure 2) and the corresponding bi-axial movement of the push unit in -and -direction, ℎ and ℎ respectively, to simulate .…”
Section: Geometry and Materialsmentioning
confidence: 99%
“…[ 1 ]. Rolling machines with three or four rollers are generally considered for manufacturing shells (bending plates) with different curvatures [ 1 , 2 , 3 , 4 ]. In order to design a rolling machine, it is necessary to calculate the bending force and the curvature radius of the bending plate for given material properties and geometrical parameters.…”
Section: Introductionmentioning
confidence: 99%
“…Researchers attempted to replace this highly timeconsuming technique by numerical simulations. For example, Yang and Shima developed the relationship between bending moment and workpiece curvature [1], while Shin et al developed a two-dimensional model based on finite element analysis for the relationship between the displacement of the inner roll and the desired curvature of bent plate [2]. Fan and Meng applied a two-dimensional model for simulations in the case of small ratios of plate thickness over plate width [3].…”
Section: Introductionmentioning
confidence: 99%