Exploring the Dynamics of Base-Excited Structures Impacting a Rigid Stop

Peter J Christopher, Barnaby Dobson, Nicholas A Alexander

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

32 Downloads (Pure)

Abstract

This paper explores the nonlinear dynamics of a multidegree of freedom (MDoF) structure impacting a rigid stop. The contact mechanics is simplified by continuous sigmoid function idealisation of a lossless spring. By introducing a smooth nonlinear formulation, we avoid the computational expense of event-driven, piecewise, nonsmooth dynamics. A large parametric study using high-performance computing is undertaken. The nondimensional equations of motion suggest one primary structural parameter, contact-to-storey stiffness ratio, and two excitation parameters, nondimensional ground amplitude and frequency. Bifurcation plots indicate an extremely rich and complex behaviour, particularly in the cases where at least two-floor degrees of freedom (DoFs) impact the stop and when the contact-to-storey stiffness ratio is large. When considering interstorey drift as a performance measure, period-1 impacting solutions are generally favourable when compared to an analogous nonimpacting case. This paper also discusses whether chaotic impacting can be favourable. Finally, we consider the question of whether higher modes are significantly excited, at a linear resonance, for impacting solutions to this system.
Original languageEnglish
Article number6721025
Number of pages12
JournalMathematical Problems in Engineering
Volume2020
DOIs
Publication statusPublished - 22 Jan 2020

Fingerprint

Dive into the research topics of 'Exploring the Dynamics of Base-Excited Structures Impacting a Rigid Stop'. Together they form a unique fingerprint.

Cite this