Journal ArticleDOI
A Parametric Identification Technique for Single-Degree-of-Freedom Weakly Nonlinear Systems with Cubic Nonlinearities:
Pramod Malatkar,Ali H. Nayfeh +1 more
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TLDR
In this article, a procedure for the identification of parameters describing a single-mode response of a structure possessing cubic geometric and inertia nonlinearities and linear (viscous) and quadratic response is presented.Abstract:
We present a procedure for the identification of parameters describing a single-mode response of a structure possessing cubic geometric and inertia nonlinearities and linear (viscous) and quadratic...read more
Citations
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Past, present and future of nonlinear system identification in structural dynamics
TL;DR: In this article, a review of the past and recent developments in system identification of nonlinear dynamical structures is presented, highlighting their assets and limitations and identifying future directions in this research area.
Journal ArticleDOI
Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification
TL;DR: In this article, the authors propose and experimentally validate a first-principles based model for the nonlinear piezoelectric response of an electroelastic energy harvester.
Journal ArticleDOI
Parametric identification of piezoelectric microscale resonators
TL;DR: In this paper, a nonlinear beam model is used with a single-mode approximation to produce a forced Duffing oscillator, and this equation is used along with a least-squares minimization scheme to identify the linear and nonlinear parameter values in oscillator models describing the microscale structures.
Journal ArticleDOI
On utilizing delayed feedback for active-multimode vibration control of cantilever beams
TL;DR: In this paper, a single-input single-output multimode delayed-feedback (SISO) controller is proposed to mitigate the free vibrations of a flexible cantilever beam.
References
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Journal ArticleDOI
A Nonparametric Identification Technique for Nonlinear Dynamic Problems
Sami F. Masri,Thomas K. Caughey +1 more
Journal ArticleDOI
Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. I. Equations of Motion
TL;DR: In this article, a set of mathematically consistent governing differential equations of motion describing the nonplanar, nonlinear dynamics of an inextensional beam is developed with the objective of retaining contributions due to nonlinear curvature as well as nonlinear inertia.
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Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. II. Forced Motions
TL;DR: In this paper, the nonplanar, nonlinear, resonant forced oscillations of a fixed-free beam are analyzed by a perturbation technique with the objective of determining quantitative and qualitative information about the response.
Journal ArticleDOI
Identification of nonlinear structural elements by force-state mapping
TL;DR: In this article, an experimental technique called "force-state mapping" is proposed to measure the force transmission properties of a structural element as a function of its mechanical state, and the nonlinearities exhibit distinctively recognizable patterns.