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Averaging in vibration suppression by parametric stiffness excitation

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Abstract

Stability investigations of vibration suppression employing the concept of actuators with a variable stiffness are presented. Systems with an arbitrary number of degrees of freedom with linear spring- and damping-elements are considered that are subject to self-excitation as well as parametric stiffness excitation. General conditions for full vibration suppression and conditions of instability are derived analytically by applying a singular perturbation of first and second order. The analytical predictions are compared for exemplary systems by numerical time integration and show a great improvement of former results. These basic results obtained can be used for accurate design of a control strategy for actuators.

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Authors and Affiliations

  1. Institute of Sound and Vibration Research, University of Southampton, Southampton, UK

    Fadi Dohnal

  2. Mathematisch Instituut, University of Utrecht, Utrecht, The Netherlands

    Ferdinand Verhulst

Authors
  1. Fadi Dohnal
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  2. Ferdinand Verhulst
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Correspondence to Fadi Dohnal.

Additional information

The first author gratefully acknowledges the mobility grant of Vienna University of Technology for visiting the University of Utrecht during which preliminary results were obtained.

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Dohnal, F., Verhulst, F. Averaging in vibration suppression by parametric stiffness excitation. Nonlinear Dyn 54, 231–248 (2008). https://doi.org/10.1007/s11071-007-9325-z

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  • DOI: https://doi.org/10.1007/s11071-007-9325-z

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