TY - GEN
T1 - Analysis of the periodic damping coefficient equation based on floquet theory
AU - Afzali, Fatemeh
AU - Acar, Gizem D.
AU - Feeny, Brian F.
N1 - Publisher Copyright:
Copyright © 2017 ASME.
PY - 2017
Y1 - 2017
N2 - In this paper, we study the response of a linear differential equation, for which the damping coefficient varies periodically in time. We use Floquet theory combined with the harmonic balance method to find the approximate solution and capture the stability criteria. Based on Floquet theory the approximate solution includes the exponential part having an unknown exponent, and a periodic part, which is expressed using a truncated series of harmonics. After substituting the assumed response in the equation, the harmonic balance method is applied. We use the characteristic equation of the truncated harmonic series to obtain the Floquet exponents. The free response and stability characteristics of the damped system for a set of parameters are shown.
AB - In this paper, we study the response of a linear differential equation, for which the damping coefficient varies periodically in time. We use Floquet theory combined with the harmonic balance method to find the approximate solution and capture the stability criteria. Based on Floquet theory the approximate solution includes the exponential part having an unknown exponent, and a periodic part, which is expressed using a truncated series of harmonics. After substituting the assumed response in the equation, the harmonic balance method is applied. We use the characteristic equation of the truncated harmonic series to obtain the Floquet exponents. The free response and stability characteristics of the damped system for a set of parameters are shown.
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U2 - 10.1115/DETC2017-68450
DO - 10.1115/DETC2017-68450
M3 - Conference contribution
AN - SCOPUS:85034807750
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 29th Conference on Mechanical Vibration and Noise
T2 - ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017
Y2 - 6 August 2017 through 9 August 2017
ER -