Frequency detuning effects for parametrically and directly excited elastic structures

Stefan Neumeyer, M. H. M. van Gastel, Vladislav Sorokin, Jon Juel Thomsen

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Abstract

This study investigates the frequency detuning effects of parametric and direct excitation for near-resonant nonlinear structural vibrations. Specifically, the detuning effects of a two-to-one frequency ratio between the parametric and direct excitation, and of a drift in natural frequency, are studied. These effects are investigated theoretically using a Duffing- Mathieu equation as the model system, and experimentally using a cantilever beam as the model object. The approximate analytical responses are derived using the method of varying amplitudes, and compared with results of direct numerical integration and experiments showing good agreement. For frequency detuned superthreshold parametric excitation some of the theoretical frequency-amplitude solution branches appear to merge. For some ranges of parametric excitation frequency a drop in experimental steady-state vibration amplitude was found, indicating performance degradation whereas for other frequency ranges, frequency detuning may yield an increased steady-state vibration amplitude. This makes frequency detuning a feature which can purposefully be avoided or utilized, dependent on the application.
Original languageEnglish
Title of host publicationProceedings of the 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering
EditorsM. Papadrakakis, V. Papadopoulos, V Plevris
Volume1
PublisherEuropean Community on Computational Methods in Applied Sciences
Publication date2015
Pages3029-3035
Publication statusPublished - 2015
Event5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering - Creta Maris Conference Centre , The Island of Crete, Greece
Duration: 25 May 201527 May 2015
http://2015.compdyn.org/

Conference

Conference5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering
LocationCreta Maris Conference Centre
CountryGreece
CityThe Island of Crete
Period25/05/201527/05/2015
Internet address

Keywords

  • Parametric and direct excitation
  • Frequency detuning
  • Nonlinear vibrations

Cite this

Neumeyer, S., van Gastel, M. H. M., Sorokin, V., & Thomsen, J. J. (2015). Frequency detuning effects for parametrically and directly excited elastic structures. In M. Papadrakakis, V. Papadopoulos, & V. Plevris (Eds.), Proceedings of the 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (Vol. 1, pp. 3029-3035). European Community on Computational Methods in Applied Sciences.