TY - GEN
T1 - A parametric amplifier for weak, low-frequency forces
AU - Dolev, Amit
AU - Bucher, Izhak
N1 - Publisher Copyright: © Copyright 2015 by ASME.
PY - 2015
Y1 - 2015
N2 - The present work introduces a tunable parametric amplifier (PA) with a hardening, Duffing-type nonlinearity. By introducing a multi-frequency parametric excitation, one is able to achieve both: (i) High amplification of the weak, lowfrequency external excitation (ii) Projection of the low frequency on any natural frequency of the system, thus transforming the low frequency excitation to a frequency band where signal levels are considerably higher. Having developed multiple-scales based expressions for the response of such systems, it is demonstrated that (a) The analytical analysis agrees well with numerically obtained simulations. (b) Both the phase, magnitude and spatial projection of this force on any system's eigenvector can be retrieved by appropriate selection of parameters, with superior signal to noise levels. Closed form analytic expressions for the sensitivity and gain are derived and analyzed. Additionally, some practical applications envisaged for the proposed method will be outlined.
AB - The present work introduces a tunable parametric amplifier (PA) with a hardening, Duffing-type nonlinearity. By introducing a multi-frequency parametric excitation, one is able to achieve both: (i) High amplification of the weak, lowfrequency external excitation (ii) Projection of the low frequency on any natural frequency of the system, thus transforming the low frequency excitation to a frequency band where signal levels are considerably higher. Having developed multiple-scales based expressions for the response of such systems, it is demonstrated that (a) The analytical analysis agrees well with numerically obtained simulations. (b) Both the phase, magnitude and spatial projection of this force on any system's eigenvector can be retrieved by appropriate selection of parameters, with superior signal to noise levels. Closed form analytic expressions for the sensitivity and gain are derived and analyzed. Additionally, some practical applications envisaged for the proposed method will be outlined.
UR - http://www.scopus.com/inward/record.url?scp=84982141385&partnerID=8YFLogxK
U2 - 10.1115/DETC2015-46273
DO - 10.1115/DETC2015-46273
M3 - منشور من مؤتمر
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
T2 - ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015
Y2 - 2 August 2015 through 5 August 2015
ER -