naa a22 4500 51079100X CHVBK 20180411083319.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1007/s12289-011-1087-y doi (NATIONALLICENCE)springer-10.1007/s12289-011-1087-y An approximate bending force prediction for 3-roller conical bending process [Elektronische Daten] [M. Chudasama, H. Raval] Roll bending process is an important metal forming process used to produce cylindrical and conical shells and sections for various applications. 3-roller conical bending is one such process. For this process it is important to evaluate the maximum force acting on the rollers during the rolling process for designing the rolling machine as well as for evaluating the coefficient of friction at roller-plate interface. It is observed that maximum force is acting on the roller during the static bending in roll bending process [Gandhi et al. 2008]. In the present study mathematical model for force prediction on the rollers have been developed. Effects of various material properties and geometrical parameters have been studied. It has been concluded that the proposed model can be effectively used to get the roller bending force for given geometrical parameters and material properties. It can also be used to get roller plate interface friction, if the experimental value of roll bending force is available. Springer-Verlag France, 2011 3-roller conical bending nationallicence Force prediction nationallicence Effect of material properties nationallicence B1, B2 : Bearings for top roller nationallicence B3,B4,B5,B6 : Bearings for bottom rollers nationallicence w : width of the blank in mm nationallicence t : thickness of the plate in mm nationallicence M : bending moment in N-m nationallicence P : Vertical load at the top roller and bending plate interface in N nationallicence a : horizontal distance of the bottom roller centers in mm nationallicence x : half the horizontal distance of the bottom roller centers in mm nationallicence Q : Normal force exerted by the plate on the bottom roller at roller plate interface in N nationallicence θ : Angle between frictional force and horizontal plane at the roller plate interface in radians nationallicence U : Vertical distance travelled by the top roller for first stage of static bending in mm nationallicence E : Young's modulus in N/mm2 nationallicence K : strength coefficient in N/mm2 nationallicence n : strain hardening exponent nationallicence r1 : radius of bottom roller in mm nationallicence R : radius of curvature of the bent plate in mm nationallicence y : distance of fiber from neutral plane in mm nationallicence I : Second moment of area (For plate it is equal to bt3/12) mm4 nationallicence μ : coefficient of friction at roller plate interface nationallicence ε : strain nationallicence σ : stress in N/mm2 nationallicence υ : Poisson's ratio nationallicence yep : distance of the fiber upto which elasticity E is constant in mm nationallicence χ : curvature of the bend plate between bottom rollers mm−1 nationallicence ε* : strain at yield point nationallicence E* : the ratio of modulus of elasticity to σs nationallicence te : thickness of elastic layer in mm nationallicence ε0 : strain of the strip mid-line nationallicence $$ \overline \varepsilon $$ : effective strain nationallicence $$ \overline \sigma $$ : effective stress nationallicence β : bottom roller inclination nationallicence AF, AR : Center distance between bottom rollers at front and rear end respectively nationallicence α : top roller inclination in the present case it is zero nationallicence φ : cone angle nationallicence RF, RR : Bending radius at the front end and rear end respectively nationallicence Chudasama M. Mechanical Engineering Department, S.V. National Institute of Technology, Surat, Gujarat, India aut Raval H. Mechanical Engineering Department, S.V. National Institute of Technology, Surat, Gujarat, India aut International Journal of Material Forming Springer-Verlag 6/2(2013-06-01), 303-314 1960-6206 6:2<303 2013 6 12289 https://doi.org/10.1007/s12289-011-1087-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12289-011-1087-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chudasama M. Mechanical Engineering Department, S.V. National Institute of Technology, Surat, Gujarat, India aut NATIONALLICENCE 700 1- Raval H. Mechanical Engineering Department, S.V. National Institute of Technology, Surat, Gujarat, India aut NATIONALLICENCE 773 0- International Journal of Material Forming Springer-Verlag 6/2(2013-06-01), 303-314 1960-6206 6:2<303 2013 6 12289 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer