On Using A Strong High-Frequency Excitation For Parametric Identification of Nonlinear Systems

[+] Author and Article Information
Mohammed Daqaq

Department of Mechanical Engineering, Clemson University, Clemson, SC, USA

Abdraouf Abusoua

Division of Engineering, New York University, Abu Dhabi, UAE

1Corresponding author.

ASME doi:10.1115/1.4036504 History: Received October 17, 2016; Revised April 13, 2017


This article 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 non-resonant 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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