Journal ArticleDOI
Parameter sensitivity of cantilever beam with tip mass to parametric excitation
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In this article, the sensitivity of a parametrically excited cantilever beam with a tip mass to small variations in elasticity (stiffness) and the tip mass is performed.Abstract:
The sensitivity of the response of a parametrically excited cantilever beam with a tip mass to small variations in elasticity (stiffness) and the tip mass is performed. The governing equation of the first mode is derived, and method of multiple scales is used to determine the approximate solution based on the order of the expected variations. We demonstrate that the system can be designed so that small variations in either stiffness or tip mass can alter the type of bifurcation. Notably, we show that the response of a system designed for a supercritical bifurcation can change to yield a subcritical bifurcation with small variations in the parameters. Although such a trend is usually undesired, we argue that it can be used to detect small variations induced by fatigue or small mass depositions in sensing applications.read more
Citations
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Journal ArticleDOI
Bifurcation-based MEMS mass sensors
TL;DR: In this article, the authors proposed two binary sensing approaches based on a change in the type of bifurcation or a finite amplitude response that would be associated with a deposited mass under specified and fixed excitation conditions.
Journal ArticleDOI
Dynamics of fractional-order multi-beam mass system excited by base motion
TL;DR: In this paper, a cantilever multi-beam system excited by base motion, with an arbitrary number of attached masses on beams and fractional-order damping considered, is considered.
Journal ArticleDOI
Experimentally validated geometrically exact model for extreme nonlinear motions of cantilevers
TL;DR: In this paper, a geometrically exact model is proposed for the nonlinear dynamics of a cantilever under base excitation in order to capture extremely large oscillations.
Journal ArticleDOI
On the response attainable in nonlinear parametrically excited systems
TL;DR: In this article, the response of nonlinear parametrically excited systems is investigated using the method of varying amplitudes (MVA) and an expression for the upper bound to the displacement response of the system is derived explicitly.
Journal ArticleDOI
Dynamics of a non-linearly damped microresonator under parametric excitation and its application in developing sensitive inertial sensors with ultra-wide dynamic ranges
TL;DR: In this article, a nonlinear cantilever beam under principal parametric excitation is modeled and investigated using three-dimensional finite element analysis (FEA) to ensure the presence of fundamental parametric resonance and the absence of other internal and higher-order parametric resonances.
References
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Book
Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
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Piezoelectric Energy Harvesting
Alper Erturk,Daniel J. Inman +1 more
TL;DR: In this article, the authors present a mathematical model of a piezoelectric energy harvesting system with a two-segment cantilever and a single-mode Euler-Bernoulli model.
Journal ArticleDOI
BioMEMS: state-of-the-art in detection, opportunities and prospects
TL;DR: The recent advances in this very exciting and important field are reviewed and a summary of the state of the art in the area of BioMEMS focusing on diagnostics, sensing, and detection is presented.
Journal ArticleDOI
A study of the nonlinear response of a resonant micro-beam to an electric actuation
Mohammad I. Younis,A. H. Nayfeh +1 more
TL;DR: In this article, a nonlinear model is used to account for the midplane stretching, a DC electrostatic force, and an ACharmonic force in the response of a resonant microbeam to an electric actuation.
Journal ArticleDOI
Effect of cubic nonlinearity on auto-parametrically amplified resonant MEMS mass sensor
TL;DR: In this article, the effects of nonlinearity on the behavior of parametric resonance of a micro-machined oscillator were investigated. And the authors showed that the nonlinearities (electrostatic and mechanical) have a large impact on the dynamic response of the structure.