This paper entails a novel sensitivity-enhancement mechanism for cantilever-based sensors. The enhancement scheme is based on exciting the sensor at the clamped end using a delayed-feedback signal obtained by measuring the tip deflection of the sensor. The gain and delay of the feedback signal are chosen such that the base excitations set the beam into stable limit-cycle oscillations as a result of a supercritical Hopf bifurcation of the trivial fixed points. The amplitude of these limit-cycles is shown to be ultrasensitive to parameter variations and, hence, can be utilized for the detection of minute changes in the resonant frequency of the sensor. The first part of the manuscript delves into the theoretical understanding of the proposed mechanism and the operation concept. Using the method of multiple scales, an approximate analytical solution for the steady-state limit-cycle amplitude near the stability boundaries is obtained. This solution is then utilized to provide a comprehensive understanding of the effect of small frequency variations on the limit-cycle amplitude and the sensitivity of these limit-cycles to different design parameters. Once a deep theoretical understanding is established, the manuscript provides an experimental study to investigate the proposed concept. Experimental results demonstrate orders of magnitude sensitivity enhancement over the traditional frequency-shift method.
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e-mail: calvinbradley@gmail.com
e-mail: mdaqaq@clemson.edu
e-mail: abibo@clemson.edu
e-mail: n.jalili@neu.edu
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October 2010
Research Papers
Sensitivity Enhancement of Cantilever-Based Sensors Using Feedback Delays
Calvin Bradley,
e-mail: calvinbradley@gmail.com
Calvin Bradley
Michelin Americas Research and Development Corporation
, Greenville, SC 29605
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Mohammed F. Daqaq,
Mohammed F. Daqaq
Nonlinear Vibrations and Energy Harvesting Laboratory (NoVEHL), Department of Mechanical Engineering,
e-mail: mdaqaq@clemson.edu
Clemson University
, Clemson, SC 29634
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Amin Bibo,
Amin Bibo
Nonlinear Vibrations and Energy Harvesting Laboratory (NoVEHL), Department of Mechanical Engineering,
e-mail: abibo@clemson.edu
Clemson University
, Clemson, SC 29634
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Nader Jalili
Nader Jalili
Department of Mechanical and Industrial Engineering,
e-mail: n.jalili@neu.edu
Northeastern University
, Boston, MA 02115
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Calvin Bradley
Michelin Americas Research and Development Corporation
, Greenville, SC 29605e-mail: calvinbradley@gmail.com
Mohammed F. Daqaq
Nonlinear Vibrations and Energy Harvesting Laboratory (NoVEHL), Department of Mechanical Engineering,
Clemson University
, Clemson, SC 29634e-mail: mdaqaq@clemson.edu
Amin Bibo
Nonlinear Vibrations and Energy Harvesting Laboratory (NoVEHL), Department of Mechanical Engineering,
Clemson University
, Clemson, SC 29634e-mail: abibo@clemson.edu
Nader Jalili
Department of Mechanical and Industrial Engineering,
Northeastern University
, Boston, MA 02115e-mail: n.jalili@neu.edu
J. Comput. Nonlinear Dynam. Oct 2010, 5(4): 041014 (9 pages)
Published Online: August 17, 2010
Article history
Received:
December 11, 2008
Revised:
June 4, 2010
Online:
August 17, 2010
Published:
August 17, 2010
Citation
Bradley, C., Daqaq, M. F., Bibo, A., and Jalili, N. (August 17, 2010). "Sensitivity Enhancement of Cantilever-Based Sensors Using Feedback Delays." ASME. J. Comput. Nonlinear Dynam. October 2010; 5(4): 041014. https://doi.org/10.1115/1.4001975
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