Correction to: Toward understanding the self-adaptive dynamics of a harmonically forced beam with a sliding mass
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CORRECTION
Malte Krack · Noha Aboulfotoh · Jens Twiefel · Jörg Wallaschek · Lawrence A. Bergman · Alexander F. Vakakis
Correction to: Toward understanding the self-adaptive dynamics of a harmonically forced beam with a sliding mass
© Springer-Verlag GmbH Germany, part of Springer Nature 2020
Correction to: Arch Appl Mech (2017) 87:699–720 https://doi.org/10.1007/s00419-016-1218-5 The authors regret to have made an implementation error in their simulation code. More specifically, the harmonic base excitation had a wrong sign, which made it inconsistent with the contact kinematics. In the following, the figures affected by this error are presented in their original and corrected versions. The readers will see that the results are indeed very similar, but numerically not identical. There is only one exception which concerns the unsteady operation: The transient resonance capture encountered during the excitationlevel modulation was not observed with the corrected model for the given parameter set. Such a phenomenon may occur for a different parameter set. Besides this exception, all results remain qualitatively the same, and hence, the entire text of the original paper, including description, interpretation and conclusions, is in no way affected by the implementation error.
M. Krack (B) Institute of Aircraft Propulsion Systems, University of Stuttgart, Pfaffenwaldring 6, 70569 Stuttgart, Germany E-mail: [email protected] N. Aboulfotoh · J. Twiefel · J. Wallaschek Institute of Dynamics and Vibration Research, Leibniz Universität Hannover, Appelstr. 11, Hannover, Germany L. A. Bergman Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, 104 S. Wright Street, Urbana, IL 61801, USA A. F. Vakakis Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 W. Green Street, Urbana, IL 61801, USA
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Fig. 3 Dynamical behavior for two different excitation frequencies: (a) and (c) fex = 85 Hz, (b) and (d) fex = 125 Hz; top: axial slider location, bottom: elastic displacement of the beam’s center
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Fig. 4 Modal energy distribution for the two excitation frequencies considered in Fig. 4: (a) and (c) fex = 85 Hz, (b) and (d) fex = 125 Hz; top: mechanical energy in the beam modes, bottom: kinetic energy of the slider
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Fig. 5 Steady-state contact pattern for the two excitation frequencies considered in Fig. 4: (a) fex = 85 Hz, (b) fex = 125 Hz;
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