caa a22 4500 445361646 CHVBK 20180317142917.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s11071-011-9959-8 doi (NATIONALLICENCE)springer-10.1007/s11071-011-9959-8 Nonlinear resonances in an axially excited beam carrying atop mass: simulations and experiments [Elektronische Daten] [R. Fey, N. Mallon, C. Kraaij, H. Nijmeijer] In this paper, 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. Asemi-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. The Author(s), 2011 Nonlinear resonances nationallicence Dynamic buckling nationallicence Beam with top mass nationallicence Parametric excitation nationallicence Bifurcations nationallicence Nonlinear mode interaction nationallicence Experiments nationallicence Fey R. Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands aut Mallon N. TNO Built Environment and Geosciences, Centre for Mechanical and Maritime Structures, PO Box 49, 2600 AA, Delft, The Netherlands aut Kraaij C. IHC Lagersmit BV, PO Box 5, 2960 AA, Kinderdijk, The Netherlands aut Nijmeijer H. Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands aut Nonlinear Dynamics Springer Netherlands 66/3(2011-11-01), 285-302 0924-090X 66:3<285 2011 66 11071 https://doi.org/10.1007/s11071-011-9959-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-011-9959-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fey R. Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- Mallon N. TNO Built Environment and Geosciences, Centre for Mechanical and Maritime Structures, PO Box 49, 2600 AA, Delft, The Netherlands aut NATIONALLICENCE 700 1- Kraaij C. IHC Lagersmit BV, PO Box 5, 2960 AA, Kinderdijk, The Netherlands aut NATIONALLICENCE 700 1- Nijmeijer H. Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/3(2011-11-01), 285-302 0924-090X 66:3<285 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer