Reduced basis method for geometric nonlinear analysis of structures

This paper presents a reduced basis method for the geometric nonlinear analysis of structures. The method is derived by extending a reduced basis approximation for use in structural static reanalysis. The new method has two main advantages over the previous method. First, the reduced system is uncoupled through a Gram-Schmidt orthonormalization procedure, thus becoming more well-conditioned. Second, a computation-inexpensive convergence criterion is developed using the orthonormal property. After a brief introduction to the geometric nonlinear analysis of structures, application of the proposed method to such an analysis is then discussed. Finally one numerical example is used to validate the proposed method.