Investigation of the Generalized Solution Behavior for the Transverse Deflection of a Rigid-plastic Clamped Plate: Eccentric and Multiple Punches Loading

摘要: Abstract For most of the studies concerning about transverse deflection plates subjected to loading a rigid punch, sections punch and plate are usually circular concentric. However, eccentric conditions in which may not be concentric have seldom been discussed. This paper firstly studied solution behavior for rigid-plastic clamped under quasi-static based on theory rotation-rate continuity method fundamental solutions (MFS). loading, four types applied: vs (C C), elliptical (C-E), (E-C) (E-E). The load position is also arbitrary with respect plate. Contour lines deflection, principal stress strain punching force-punch displacement curves obtained different conditions. It has proved that circuit integral product gradient contour line's outer normal constant any line, leading linear relationship between force punch. turns out ratio section area deviation distance center from will both influence value term, correlated force, as they increase if fixed, vice versa. Finally, accounting merits MFS solving Laplace equation, procedure can extended multiple punches Results revealed still prevails solids this case. Finite element analysis conducted show its results agree analytical at satisfactory level.