Published in *Computers & Structures* Vol. 20 (1–3), pp. 203-210, 1985

doi: 10.1016/0045-7949(85)90069-0

A computational algorithm for predicting the dynamical response of a nonlinear structure by means of a reduction scheme is described. In it, the nonlinear system of ordinary differential equations obtained from the finite element discretization is reduced, by employing a Rayleigh-Ritz technique. A new criterion for the computation of the basis vectors is proposed. It is based on a sequence of basis vectors proposed by Wilson *et al.* for linear dynamics problems, which was augmented by adding derivatives of these vectors with respect to the generalized displacement amplitudes. The later vectors allow the treatment of nonlinear problems.

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Published on 27/02/19

Submitted on 19/02/19

DOI: 10.1016/0045-7949(85)90069-0

Licence: CC BY-NC-SA license