Parametric and direct resonances in a base-excited beam carrying a top mass

R.H.B. Fey, N.J. Mallon, C.S. Kraaij, H. Nijmeijer

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

In this chapter, nonlinear resonances in a coupled shaker-beam-top mass system are investigated both numerically and experimentally. The imperfect, vertical beam carries the top mass and is axially excited by the shaker at its base. The weight of the top mass is below the beam’s static buckling load. A semi-analytical model is derived for the coupled system. In this model, Taylor-series approximations are used for the inextensibility constraint and the curvature of the beam. The steady-state behavior of the model is studied using numerical tools. In the model with a single beam mode, parametric and direct resonances are found, which affect the dynamic stability of the structure. The model with two beam modes not only shows an additional second harmonic resonance, but also reveals some extra small resonances in the low-frequency range, some of which can be identified as combination resonances. The experimental steady-state response is obtained by performing a (stepped) frequency sweep-up and sweep-down with respect to the harmonic input voltage of the amplifier-shaker combination. A good correspondence between the numerical and experimental steady-state responses is obtained.
Original languageEnglish
Title of host publicationParametric resonances in dynamical systems
EditorsT.I. Fossen, H. Nijmeijer
Place of PublicationNew York
PublisherSpringer
Pages267/13-286/13
Number of pages330
ISBN (Print)978-1-4614-1042-3
DOIs
Publication statusPublished - 2012
Eventconference; Workshop on parametric resonances in dynamical systems, Longyearbyen, Svalbard, Norway, 22-26 June 2011 -
Duration: 1 Jan 2012 → …

Conference

Conferenceconference; Workshop on parametric resonances in dynamical systems, Longyearbyen, Svalbard, Norway, 22-26 June 2011
Period1/01/12 → …
OtherWorkshop on parametric resonances in dynamical systems, Longyearbyen, Svalbard, Norway, 22-26 June 2011

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