Tunable Microelectromechanical Filters that Exploit Parametric Resonance

2005 ◽  
Vol 127 (5) ◽  
pp. 423-430 ◽  
Author(s):  
Jeffrey F. Rhoads ◽  
Steven W. Shaw ◽  
Kimberly L. Turner ◽  
Rajashree Baskaran
Keyword(s):  
Dynamic Response ◽  
Parametric Resonance ◽  
Analytical Study ◽  
Bandpass Filter ◽  
Mems Oscillators ◽  
Highly Effective ◽  
Linear Resonance ◽  
Parametric Instabilities

Background: This paper describes an analytical study of a bandpass filter that is based on the dynamic response of electrostatically-driven MEMS oscillators. Method of Approach: Unlike most mechanical and electrical filters that rely on direct linear resonance for filtering, the MEM filter presented in this work employs parametric resonance. Results: While the use of parametric resonance improves some filtering characteristics, the introduction of parametric instabilities into the system does present some complications with regard to filtering. Conclusions: The aforementioned complications can be largely overcome by implementing a pair of MEM oscillators with tuning schemes and some processing logic to produce a highly effective bandpass filter.

scholarly journals Analytical Study on Dynamic Response of RC Buildings Retrofitted by Compressive CFT Braces

2011 ◽  
Vol 22 (2) ◽  
pp. 2_1-2_10
Author(s):  
Hiroyuki Nakahara ◽  
Yuichi Nishida ◽  
Kenji Sakino ◽  
Koichiro Kitajima
Keyword(s):  
Dynamic Response ◽  
Analytical Study ◽  
Rc Buildings

Suppression of Parametric Resonance in Cantilever Beam With a Pendulum (Effect of Static Friction at the Supporting Point of the Pendulum)

2004 ◽  
Vol 126 (1) ◽  
pp. 149-162 ◽  
Author(s):  
Hiroshi Yabuno ◽  
Tomohiko Murakami ◽  
Jun Kawazoe ◽  
Nobuharu Aoshima
Keyword(s):  
Dynamic Response ◽  
Boundary Conditions ◽  
Cantilever Beam ◽  
Parametric Resonance ◽  
Natural Frequencies ◽  
Dominant Role ◽  
Static Friction ◽  
Equation Of Motion ◽  
Pendulum Motion ◽  
Supporting Point

The dynamic response of a parametrically excited cantilever beam with a pendulum is theoretically and experimentally presented. The equation of motion and the associated boundary conditions are derived considering the static friction of the rotating motion at the supporting point (pivot) of the pendulum. It is theoretically shown that the static friction at the pivot of the pendulum plays a dominant role in the suppression of parametric resonance. The boundary conditions are different between two states in which the motion of the pendulum is either trapped by the static friction or it is not. Because of this variation of the boundary conditions depending on the pendulum motion, the natural frequencies of the system are automatically and passively changed and the bifurcation set for the parametric resonance is also shifted, so that parametric resonance does not occur. Experimental results also verify the effect of the pendulum on the suppression of parametric resonance in the cantilever beam.

Stability of a Pretwisted Blade With Nonconstant Rotating Speed

1992 ◽  
Author(s):  
S. M. Yang ◽  
S. M. Tsao
Keyword(s):  
Fundamental Frequency ◽  
Parametric Resonance ◽  
Multiple Scale ◽  
Time Dependent ◽  
Combination Resonance ◽  
Rotating Speed ◽  
System Parameters ◽  
Scale Method ◽  
Nonautonomous Systems ◽  
Parametric Instabilities

An analytical model is presented to investigate the vibration and stability of a pretwisted blade under nonconstant rotating speed. Two coupled bending displacements in flapwise and edgewise directions are considered. The time-dependent rotating speed leads to nonautonomous systems in which parametric resonance can occur. Six parametric instabilities, including primary and combination resonances, are predicted by using multiple scale method. These instability predictions are compared with those from numerical results of a more detail model. Among all instabilities, the combination resonance when perturbed frequency near twice of the fundamental frequency is found to be most critical and sensitive to system parameters.

Experimental and analytical study of the dynamic response of low-porosity brittle rocks

1993 ◽  
Vol 98 (B12) ◽  
pp. 22081-22094 ◽  
Author(s):  
Geza Nagy ◽  
Hidenori Murakami ◽  
Gilbert A. Hegemier ◽  
Alexander L. Florence
Keyword(s):  
Dynamic Response ◽  
Analytical Study ◽  
Brittle Rocks ◽  
Low Porosity

Experimental and Analytical Study of Pantograph Dynamics

1991 ◽  
Vol 113 (2) ◽  
pp. 242-247 ◽  
Author(s):  
W. Seering ◽  
K. Armbruster ◽  
C. Vesely ◽  
D. Wormley
Keyword(s):  
Experimental Data ◽  
Dynamic Response ◽  
Coulomb Friction ◽  
Close Agreement ◽  
Analytical Study ◽  
Model Performance ◽  
Nonlinear Effects ◽  
Variable Stiffness ◽  
Response Data ◽  
Lumped Parameter

A nonlinear, lumped parameter pantograph model including geometric and coulomb friction nonlinearities and variable stiffness has been developed. The model performance has been compared with experimental dynamic response data measured on a prototype pantograph. Responses of the model and the experimental data including subharmonic and harmonic resonances are in close agreement for motions excited by comparable forcing functions for input frequencies of 0 to 12 Hz. The model has been used to identify the primary parameters and nonlinear effects which influence dynamic pantograph performance.

COLLECTIVE ROTATION IN COUPLED PARAMETRICALLY-DRIVEN PENDULUMS

2002 ◽  
Vol 13 (09) ◽  
pp. 1201-1210
Author(s):  
RYOICHI KAWAI ◽  
NATHAN WILLIAMS ◽  
LAUREN RAST
Keyword(s):  
Parametric Resonance ◽  
Resonance Condition ◽  
The Other ◽  
Mutual Synchronization ◽  
Parametrically Excited ◽  
Other Hand ◽  
Collective Rotation ◽  
Parametric Modulation ◽  
Parametric Instabilities

Collective instabilities in globally coupled pendulums driven by parametric modulation is numerically investigated. Parametric instabilities are suppressed by mutual synchronization despite individual pendulums are under a parametric resonance condition. On the other hand, continuous collective rotation can be parametrically excited with certain modulation frequencies outside the regular parametric resonance.

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