A series method applied to engineering calculations in structural dynamics

Abstract

This paper shows an application of the Φ-functions series method to calculate the response of structures in face of an earthquake, modelled by a 2DOF. The Φ-functions series method is an adaptation of the ideas of Scheifele to integrate forced and damped oscillators. This algorithm presents the advantage of integrating precisely the perturbed problem with only two Φ-functions. Method coefficients are calculated by simple algebraic recurrences in which the perturbation function is involved. Results show the good precision compared to those obtained by other well-known integrators implemented in MAPLE. Results are also contrasted with classic methods of Structural Engineering.