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On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems

Kadapa, C.; Dettmer, W.G.; Peri?, D.

Authors

W.G. Dettmer

D. Peri?



Abstract

The advantages of using the generalised-alpha scheme for first-order systems for computing the numerical solutions of second-order equations encountered in structural dynamics are presented. The governing equations are rewritten so that the second-order equations can be solved directly without having to convert them into state-space. The stability, accuracy, dissipation and dispersion characteristics of the scheme are discussed. It is proved through spectral analysis that the proposed scheme has improved dissipation properties when compared with the standard generalised-alpha scheme for second-order equations. It is also proved that the proposed scheme does not suffer from overshoot. Towards demonstrating the application to practical problems, proposed scheme is applied to the benchmark example of three degrees of freedom stiff-flexible spring-mass system, two-dimensional Howe truss model, and elastic pendulum problem discretised with non-linear truss finite elements.

Journal Article Type Article
Acceptance Date Aug 22, 2017
Online Publication Date Sep 5, 2017
Publication Date 2017-12
Deposit Date Aug 29, 2022
Journal Computers & Structures
Print ISSN 0045-7949
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 193
Pages 226-238
DOI https://doi.org/10.1016/j.compstruc.2017.08.013
Keywords Structural dynamics, Time integration, Generalised-alpha scheme, Numerical dissipation, Overshoot
Public URL http://researchrepository.napier.ac.uk/Output/2893871