Exploring the dynamics of a class of post-tensioned, moment resisting frames

NA Alexander, O Oddbjornsson, CA Taylor, HM Osinga, David E Kelly

Research output: Contribution to journalArticle (Academic Journal)peer-review

10 Citations (Scopus)


In this paper we present an equivalent low order nonlinear system that describes the dynamics of a general class of post-tensioned frames. The proposed nonlinear single degree of freedom system isderived from energy considerations. It is demonstrated that the equation of motion for the entire, general, post-tensioned frame is equivalent to the dynamics of a single tied rocking block on an elastic foundation. As validation for this analytical model we present physical tests (1/4 scale) undertaken at Bristol. Quasi-static push-pull-over tests and dynamic frequency sine sweep shake-table tests are conducted on the physical model. Comparison of results indicate that the analytical model predicts both quasi-static nonlinear push-over and nonlinear dynamic resonant behaviour very well. Further numerical simulations on the analytical model identify the nonlinear resonant frequency backbone curves for a range of system parameters. Catchment basins of both Poincaré phase and system parameter spaces are explored. Failure boundaries and system integrity surfaces indicate robust bounds on safe forcing amplitudes.
Translated title of the contributionExploring the dynamics of a class of post-tensioned, moment resisting frames
Original languageEnglish
Pages (from-to)3710–3728
JournalJournal of Sound and Vibration
Issue number15
Publication statusPublished - 2011

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