Recurrent schemes with higher accuracy For duhamel integrals
Cai Chengwen Chen Chuncheng(Dept. of Mechanics)
In this paper,the excitation in each time step is approximated by quadratic function,recurrent formulae to compute Duhamel's integrals are derived. The well-known Nigam-Jennings algorithm corresponds to linear interpolation. The transfer function errors are analyzed ,and several numerical examples are presented. It is clarified,that the quadratic interpolation algorithm is superior to the conventional Nigam-Jennings algorithm.