Centraleccentric Difference Method

Abstract:

A kind of general explicit displacement algorithm is derived and threestep explicit displacement method with secondorder precision is obtained.The acceleration is approximated by central difference and the velocity is approximated by threepoint eccentric difference.Therefore,this method is also called centraleccentric difference method,which can be looked as an improved form of central difference method because it remians as an explicit method when the damp matrix is not diagonal. The stabilization of this method is analyzed and results show that this method is superior in costs of calculation time and storage space over the other similar explicit methods.