A reduction method for the analysis of non-linear forced vibration of plates

The non-linear forced vibration of plates is investigated by using an implicit time integration scheme and a reduction method. The plate is first discretized into generalized finite strips with the non-linear strains of von Kármán type included. A set of basis vectors is generated and transformation on to the subspace spanned by these vectors is then performed in such a way that the time-stepping dynamic analysis is totally carried out within the subspace. Because of the reduction of number of unknowns, a significant reduction in computing time can be achieved as compared with that for the analysis of the complete system. An example of a plate with different time-varying loads is given to demonstrate the potential of the method. © 1995 Academic Press. All rights reserved.