Effect of cubic nonlinearity on auto-parametrically amplified resonant MEMS mass sensor

2002 ◽  
Vol 102 (1-2) ◽  
pp. 139-150 ◽  
Author(s):  
Wenhua Zhang ◽  
Rajashree Baskaran ◽  
Kimberly L. Turner
Keyword(s):  
Mass Sensor ◽  
Cubic Nonlinearity ◽  
Mems Mass Sensor

Frequency Sweeping With Concurrent Parametric Amplification

2008 ◽  
Author(s):  
Nicholas J. Miller ◽  
Steven W. Shaw
Keyword(s):  
Quality Factor ◽  
Parametric Excitation ◽  
Mechanical Systems ◽  
Parametric Amplification ◽  
Stability Conditions ◽  
Mass Sensor ◽  
Modal Interactions ◽  
Numerical Example ◽  
Mems Mass Sensor ◽  
Frequency Sweeping

In this paper we explore parametric amplification of multidegree of freedom mechanical systems. We consider frequency conditions for modal interactions and determine stability conditions for three important cases. We develop conditions under which it is possible to sweep with direct and parametric excitation to produce a sweep response with amplified effective quality factor of resonances encountered during the sweep. With this technique it is possible to improve the measurement of resonance locations in swept devices, such as those that operate on resonance shifting. A numerical example motivated by a MEMS mass sensor is given in support of the analysis.

Distributed MEMS Mass-Sensor Based on Piezoelectric Resonant Micro-Cantilevers

2019 ◽  
Vol 28 (3) ◽  
pp. 382-389 ◽  
Author(s):  
Priyanka Joshi ◽  
Sanjeev Kumar ◽  
V. K. Jain ◽  
Jamil Akhtar ◽  
Jitendra Singh
Keyword(s):  
Mass Sensor ◽  
Mems Mass Sensor

Issues associated with scaling up production of a lab demonstrated MEMS mass sensor

2012 ◽  
Vol 22 (11) ◽  
pp. 115032 ◽  
Author(s):  
Pedro Ortiz ◽  
Richie Burnett ◽  
Neil Keegan ◽  
Julia Spoors ◽  
John Hedley ◽  
...  
Keyword(s):  
Scaling Up ◽  
Mass Sensor ◽  
Mems Mass Sensor

scholarly journals Enhancing the linear dynamic range of a mode-localized MEMS mass sensor with repulsive electrostatic actuation

2021 ◽  
Author(s):  
Toky Harrison RABENIMANANA ◽  
Vincent Walter ◽  
Najib Kacem ◽  
Patrice Le Moal ◽  
Gilles Bourbon ◽  
...  
Keyword(s):  
Dynamic Range ◽  
Electrostatic Actuation ◽  
Mass Sensor ◽  
Linear Dynamic Range ◽  
Linear Dynamic ◽  
Mems Mass Sensor

High resonant mass sensor evaluation: An effective method

2005 ◽  
Vol 76 (11) ◽  
pp. 115101 ◽  
Author(s):  
Yakov M. Tseytlin
Keyword(s):  
Mass Sensor

scholarly journals Orbital Stability of Solitary Waves to Double Dispersion Equations with Combined Power-Type Nonlinearity

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1398
Author(s):  
Natalia Kolkovska ◽  
Milena Dimova ◽  
Nikolai Kutev
Keyword(s):  
Solitary Waves ◽  
Orbital Stability ◽  
Second Derivative ◽  
Cubic Nonlinearity ◽  
Abstract Theory ◽  
Power Type ◽  
Analytical Formulas ◽  
Stability Of Solitary Waves ◽  
The Stability ◽  
Double Dispersion

We consider the orbital stability of solitary waves to the double dispersion equation utt−uxx+h1uxxxx−h2uttxx+f(u)xx=0,h1>0,h2>0 with combined power-type nonlinearity f(u)=a|u|pu+b|u|2pu,p>0,a∈R,b∈R,b≠0. The stability of solitary waves with velocity c, c2<1 is proved by means of the Grillakis, Shatah, and Strauss abstract theory and the convexity of the function d(c), related to some conservation laws. We derive explicit analytical formulas for the function d(c) and its second derivative for quadratic-cubic nonlinearity f(u)=au2+bu3 and parameters b>0, c2∈0,min1,h1h2. As a consequence, the orbital stability of solitary waves is analyzed depending on the parameters of the problem. Well-known results are generalized in the case of a single cubic nonlinearity f(u)=bu3.

scholarly journals Optically Accessible MEMS Resonant Mass Sensor for Biological Applications

2019 ◽  
Vol 28 (3) ◽  
pp. 494-503 ◽  
Author(s):  
Ethan G. Keeler ◽  
Chen Zou ◽  
Lih Y. Lin
Keyword(s):  
Biological Applications ◽  
Mass Sensor

Transcritical two-layer flow over topography

1987 ◽  
Vol 178 ◽  
pp. 31-52 ◽  
Author(s):  
W. K. Melville ◽  
Karl R. Helfrich
Keyword(s):  
Steady Flow ◽  
Solitary Waves ◽  
Numerical Solutions ◽  
Kdv Equation ◽  
Single Layer ◽  
Cubic Nonlinearity ◽  
Arbitrary Length ◽  
Weakly Nonlinear ◽  
Flow Over Topography ◽  
Layer Flow

The evolution of weakly-nonlinear two-layer flow over topography is considered. The governing equations are formulated to consider the effects of quadratic and cubic nonlinearity in the transcritical regime of the internal mode. In the absence of cubic nonlinearity an inhomogeneous Korteweg-de Vries equation describes the interfacial displacement. Numerical solutions of this equation exhibit undular bores or sequences of Boussinesq solitary waves upstream in a transcritical regime. For sufficiently large supercritical Froude numbers, a locally steady flow is attained over the topography. In that regime in which both quadratic and cubic nonlinearity are comparable, the evolution of the interface is described by an inhomogeneous extended Kortewegde Vries (EKdV) equation. This equation displays undular bores upstream in a subcritical regime, but monotonic bores in a transcritical regime. The monotonic bores are solitary wave solutions of the corresponding homogeneous EKdV equation. Again, locally steady flow is attained for sufficiently large supercritical Froude numbers. The predictions of the numerical solutions are compared with laboratory experiments which show good agreement with the solutions of the forced EKdV equation for some range of parameters. It is shown that a recent result of Miles (1986), which predicts an unsteady transcritical regime for single-layer flows, may readily be extended to two-layer flows (described by the forced KdV equation) and is in agreement with the results presented here.Numerical experiments exploiting the symmetry of the homogeneous EKdV equation show that solitary waves of fixed amplitude but arbitrary length may be generated in systems described by the inhomogeneous EKdV equation.

Vibration Analysis of Single Walled Boron Nitride Nanotube Based Nanoresonators

2012 ◽  
Vol 3 (3) ◽  
Author(s):  
Mitesh B. Panchal ◽  
S. H. Upadhyay ◽  
S. P. Harsha
Keyword(s):  
Boron Nitride ◽  
Resonant Frequency ◽  
Continuum Mechanics ◽  
Boron Nitride Nanotubes ◽  
Response Analysis ◽  
Published Data ◽  
Boron Nitride Nanotube ◽  
Mass Sensor ◽  
Nanomechanical Resonators ◽  
Mass Sensitivity

In this paper, the vibration response analysis of single walled boron nitride nanotubes (SWBNNTs) treated as thin walled tube has been done using finite element method (FEM). The resonant frequencies of fixed-free SWBNNTs have been investigated. The analysis explores the resonant frequency variations as well as the resonant frequency shift of the SWBNNTs caused by the changes in size of BNNTs in terms of length as well as the attached masses. The performance of cantilevered SWBNNT mass sensor is also analyzed based on continuum mechanics approach and compared with the published data of single walled carbon nanotube (SWCNT) for fixed-free configuration as a mass sensor. As a systematic analysis approach, the simulation results based on FEM are compared with the continuum mechanics based analytical approach and are found to be in good agreement. It is also found that the BNNT cantilever biosensor has better response and sensitivity compared to the CNT as a counterpart. Also, the results indicate that the mass sensitivity of cantilevered boron nitride nanotube nanomechanical resonators can reach 10−23 g and the mass sensitivity increases when smaller size nanomechanical resonators are used in mass sensors.

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