Though utilized for more than in a variety of power and communication systems, parametric amplification, the process of amplifying a harmonic signal with a parametric pump, has received very little attention in the mechanical engineering community. In fact, only within the past has the technique been implemented in micromechanical systems as a means of amplifying the output of resonant microtransducers. While the vast potential of parametric amplification has been demonstrated, to date, in a number of micro- and nanomechanical systems (as well as a number electrical systems), few, if any, macroscale mechanical amplifiers have been reported. Given that these amplifiers are easily realizable using larger-scale mechanical systems, the present work seeks to address this void by examining a simple representative example: a cantilevered beam with longitudinal and transverse base excitations. The work begins with the systematic formulation of a representative system model, which is used to derive a number of pertinent metrics. A series of experimental results, which validate the work’s analytical findings, are subsequently examined, and the work concludes with a brief look at some plausible applications of parametric amplification in macroscale mechanical systems.
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December 2008
Research Papers
Mechanical Domain Parametric Amplification
Jeffrey F. Rhoads
,
Jeffrey F. Rhoads
School of Mechanical Engineering,
jfrhoads@purdue.edu
Purdue University
, West Lafayette, IN 47907
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Nicholas J. Miller
,
Nicholas J. Miller
Department of Mechanical Engineering,
mille820@msu.edu
Michigan State University
, East Lansing, MI 48824
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Steven W. Shaw
,
Steven W. Shaw
Department of Mechanical Engineering,
shawsw@egr.msu.edu
Michigan State University
, East Lansing, MI 48824
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Brian F. Feeny
Brian F. Feeny
Department of Mechanical Engineering,
feeny@egr.msu.edu
Michigan State University
, East Lansing, MI 48824
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Jeffrey F. Rhoads
Nicholas J. Miller
Department of Mechanical Engineering,
Michigan State University
, East Lansing, MI 48824mille820@msu.edu
Steven W. Shaw
Department of Mechanical Engineering,
Michigan State University
, East Lansing, MI 48824shawsw@egr.msu.edu
Brian F. Feeny
Department of Mechanical Engineering,
Michigan State University
, East Lansing, MI 48824feeny@egr.msu.edu
J. Vib. Acoust. Dec 2008, 130(6): 061006 (7 pages)
Published Online: October 15, 2008
Article history
Received:
August 21, 2007
Revised:
May 16, 2008
Published:
October 15, 2008
Citation
Rhoads, J. F., Miller, N. J., Shaw, S. W., and Feeny, B. F. (October 15, 2008). "Mechanical Domain Parametric Amplification." ASME. J. Vib. Acoust. December 2008; 130(6): 061006. https://doi.org/10.1115/1.2980382
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