An Approach to Parameter Identification for a Single-Degree-of-Freedom Dynamical System Based on Short Free Acceleration Response

Jakšić, N.; Boltežar, Miha

doi:10.1006/jsvi.2001.3953

Cited by 15 publications

(4 citation statements)

References 19 publications

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“…Figure 10 depicts the location of the fixed points and the bifurcation point on a frequency response curve in this case. Figure 11 shows a comparison between the exact simulation of the system's motion near the bifurcation point and the analytical result (41). Fig.…”

Section: Behavior Near Bifurcation Pointsmentioning

confidence: 97%

“…For more accurate estimation, one of several existing kinds of fitting procedures can be utilized [41,67]. However, the order of magnitude estimations often fully satisfy the practical requirements.…”

Section: Extraction Of Parameters From Experimental Datamentioning

confidence: 99%

“…A variety of different physical mechanisms can contribute to damping, including bulk and surface defects [32,33], thermoelastic damping [34,35], nonlinear coupling to other modes, phonon-electron coupling, clamping loss [36,37], interaction with two level systems [38], etc. Identifying experimentally the contributing mechanisms in a given system can be highly challenging, as the dependence on a variety of parameters has to be examined systematically [39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear damping in a micromechanical oscillator

et al. 2011

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Nonlinear elastic effects play an important role in the dynamics of microelectromechanical systems (MEMS). A Duffing oscillator is widely used as an archetypical model of mechanical resonators with nonlinear elastic behavior. In contrast, nonlinear dissipation effects in micromechanical oscillators are often overlooked. In this work, we consider a doubly clamped micromechanical beam oscillator, which exhibits nonlinearity in both elastic and dissipative properties. The dynamics of the oscillator is measured in both frequency and time domains and compared to theoretical predictions based on a Duffing-like model with nonlinear dissipation. We especially focus on the behavior of the system near bifurcation points. The results show that nonlinear dissipation can have a significant impact on the dynamics of micromechanical systems. To account for the results, we have developed a continuous model of a geometrically nonlinear beamstring with a linear Voigt-Kelvin viscoelastic constitutive law, which shows a relation between linear and nonlinear damping. However, the experimental results suggest that this model alone cannot fully account forall the experimentally observed nonlinear dissipation, and that additional nonlinear dissipative processes exist in our devices.

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Section: Behavior Near Bifurcation Pointsmentioning

confidence: 97%

Section: Extraction Of Parameters From Experimental Datamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear damping in a micromechanical oscillator

et al. 2011

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“…Modeling and identification of the nonlinear behavior of dynamic systems has been the focus of a large number of studies. These efforts include both non-parametric identification methods [8] and parametric identification methods [9][10][11]. Here, a parametric identification scheme is developed and applied to study the nonlinear dynamic behavior of clamped-clamped microresonators.…”

Section: Introductionmentioning

confidence: 99%

Parametric identification of piezoelectric microscale resonators

Dick

Balachandran

DeVoe

et al. 2006

J. Micromech. Microeng.

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Piezoelectrically actuated microscale resonators [1] are attractive for communication and signal processing applications. An example of a typical resonator studied in this work is shown in Figure 1. As pointed out in recent work [2]-[4], these resonators exhibit nonlinear characteristics, some of which may possibly be explained as oscillations about a non-flat equilibrium position that is caused due to buckling. The intent of the present work is to develop a model for this resonator from an experimental standpoint. To this end, the Düffing oscillator model is picked as a first prototype and parameters in this model are identified for various microscale oscillators. The basis for the parametric identification scheme is obtained from the work of Nayfeh and Balachandran [5].

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Dynamical behavior of a nonlinear single-degree-of-freedom system with negative viscous and positive frictional damping

Jakšić

2007

Meccanica

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An Approach to Parameter Identification for a Single-Degree-of-Freedom Dynamical System Based on Short Free Acceleration Response

Cited by 15 publications

References 19 publications

Nonlinear damping in a micromechanical oscillator

Nonlinear damping in a micromechanical oscillator

Parametric identification of piezoelectric microscale resonators

Dynamical behavior of a nonlinear single-degree-of-freedom system with negative viscous and positive frictional damping

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