This paper describes a new parametric method for the development of nonlinear models with parameters identified from an experimental setting. The approach is based on applying a strong nonresonant high-frequency harmonic excitation to the unknown nonlinear system and monitoring its influence on the slow modulation of the system's response. In particular, it is observed that the high-frequency excitation induces a shift in the slow-modulation frequency and a static bias in the mean of the dynamic response. Such changes can be directly related to the amplitude and frequency of the strong excitation offering a unique methodology to identify the unknown nonlinear parameters. The proposed technique is implemented to identify the nonlinear restoring-force coefficients of three experimental systems. Results demonstrate that this technique is capable of identifying the nonlinear parameters with relatively good accuracy.
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October 2017
Research-Article
On Using a Strong High-Frequency Excitation for Parametric Identification of Nonlinear Systems
Abdraouf Abusoua,
Abdraouf Abusoua
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
Clemson University,
Clemson, SC 29634
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Mohammed F. Daqaq
Mohammed F. Daqaq
Division of Engineering,
New York University,
Abu Dhabi 129188, United Arab Emirates
e-mail: mfd6@nyu.edu
New York University,
Abu Dhabi 129188, United Arab Emirates
e-mail: mfd6@nyu.edu
Search for other works by this author on:
Abdraouf Abusoua
Department of Mechanical Engineering,
Clemson University,
Clemson, SC 29634
Clemson University,
Clemson, SC 29634
Mohammed F. Daqaq
Division of Engineering,
New York University,
Abu Dhabi 129188, United Arab Emirates
e-mail: mfd6@nyu.edu
New York University,
Abu Dhabi 129188, United Arab Emirates
e-mail: mfd6@nyu.edu
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 17, 2016; final manuscript received April 13, 2017; published online July 10, 2017. Assoc. Editor: Michael Leamy.
J. Vib. Acoust. Oct 2017, 139(5): 051012 (7 pages)
Published Online: July 10, 2017
Article history
Received:
October 17, 2016
Revised:
April 13, 2017
Citation
Abusoua, A., and Daqaq, M. F. (July 10, 2017). "On Using a Strong High-Frequency Excitation for Parametric Identification of Nonlinear Systems." ASME. J. Vib. Acoust. October 2017; 139(5): 051012. https://doi.org/10.1115/1.4036504
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