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Parametric System Identification of Resonant Nonlinear Micro/Nanosystems

  • Andrew B. SabaterEmail author
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 6)

Abstract

The parametric system identification of macroscale resonators operating in a nonlinear response regime can be a challenging research problem, but at the micro- and nanoscales, experimental constraints add additional complexities. For example, due to the small and noisy signals micro/nanoresonators produce, a lock-in amplifier is commonly used to characterize the amplitude and phase response of the system. While the lock-in enables detection, it prohibits the use of established methods which rely upon time-domain measurements. As such, the only methods that can be used for parametric system identification are those based on fitting experimental data to an approximate solution of a reduced-order model. This work summarizes a much longer effort (Sabater and Rhoads in Mech Syst Signal Process 2016, [13]) that proposes that the parametric system identification of micro/nanosystem operating in a nonlinear response regime can be treated as the amalgamation of four coupled sub-problems. The theoretical foundations of these coupled sub-problems are discussed. To provide context, an electromagnetically-transduced microresonator is used as an example.

Keywords

Harmonic Balance Harmonic Balance Method Parametric System Identification Effective Nonlinear Coefficient Approximate Hessian 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.SPAWAR Systems Center PacificSan DiegoUSA

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