TY - GEN
T1 - Response characteristics of systems with two-harmonic parametric excitation
AU - Afzali, Fatemeh
AU - Acar, Gizem D.
AU - Feeny, Brian F.
N1 - Publisher Copyright:
Copyright © 2018 ASME.
PY - 2018
Y1 - 2018
N2 - Floquet theory is combined with harmonic balance to study parametrically excited systems with two harmonics of excitation, where the second harmonic has twice the frequency of the first one. An approximated solution composed of an exponential part with unknown exponents and a periodic term consisting of a truncated Fourier series is considered. When applied to a two-harmonic Mathieu equation the analysis shows that the second harmonic alters stability characteristics, particularly in the primary and superharmonic instabilities. We also look at the initial conditions response and its frequency content. The second excitation harmonic in the system with parametric damping is seen to disrupt the coexistence phenomenon which is observed in the single-harmonic case.
AB - Floquet theory is combined with harmonic balance to study parametrically excited systems with two harmonics of excitation, where the second harmonic has twice the frequency of the first one. An approximated solution composed of an exponential part with unknown exponents and a periodic term consisting of a truncated Fourier series is considered. When applied to a two-harmonic Mathieu equation the analysis shows that the second harmonic alters stability characteristics, particularly in the primary and superharmonic instabilities. We also look at the initial conditions response and its frequency content. The second excitation harmonic in the system with parametric damping is seen to disrupt the coexistence phenomenon which is observed in the single-harmonic case.
UR - http://www.scopus.com/inward/record.url?scp=85056894327&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85056894327&partnerID=8YFLogxK
U2 - 10.1115/DETC2018-86140
DO - 10.1115/DETC2018-86140
M3 - Conference contribution
AN - SCOPUS:85056894327
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 14th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
T2 - ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018
Y2 - 26 August 2018 through 29 August 2018
ER -