Large deformation of thin plates under localised impulsive loading

摘要: Abstract The response of thin clamped plates to a localised impulsive load imparted over central circular region is investigated experimentally and theoretically determine the location tearing failure critical impulse failure. Over 40 tests were performed with four different loading radii increasing values applied impulse. Typical dish like deflection profiles produced measured. It was observed that smaller led more bulging near plate centre. resulting took form disc. A distributed at boundary. In theoretical development, modelled as rigid-plastic membrane. initial-boundary value problem for wave equation in polar co-ordinate system solved by eigenfunction expansion method up point first unloading. An approximate closed-form solution also obtained combining early motion mode late motion. good correlation between predicted measured normalised profile. analysis gave strong indication initial velocity profile must have continuous smooth function edge burning zone. Precise determination deflected shape necessary step strain calculations prediction onset tensile necking plates.