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

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

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.

Citation

Kadapa, C., Dettmer, W., & Perić, D. (2017). On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems. Computers and Structures, 193, 226-238. https://doi.org/10.1016/j.compstruc.2017.08.013

• 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