TY - GEN
T1 - Vibration power flow transmission between nonlinearly coupled oscillators with dual forces excitations
AU - Shi, Baiyang
AU - Zhu, Chendi
AU - Yang, Jian
N1 - Publisher Copyright:
© 2020 European Association for Structural Dynamics. All rights reserved.
PY - 2020
Y1 - 2020
N2 - This paper investigates the vibration power flow transmission between nonlinearly coupled oscillators, each subjected to a harmonic excitation force with different phase angles. The harmonic balance method is used for analytical formulations of frequency-response relationship and time-averaged power flows. Numerical integrations are also conducted for validation of the analytical results and for comparison. Time-averaged transmitted power between the oscillators is used as an index to quantify the level of vibration transmission. The effects of the stiffness nonlinearity of the coupling interface on vibration power transmission are studied and revealed. It is found that when the excitation forces are of certain phase difference, the dynamic response of the oscillators and power flow between then may be reduced in the low-frequency range. The relative displacement amplitude between two oscillators may increase with the relative phase angle. It is also found that when the system is excited near resonances, the relative phase angle has little effects on the response amplitudes and time-average input power. It is also shown that time-averaged transmitted power is more sensitive than time-averaged input power to the relative phase angle. These findings lead to better understanding of vibration transmission mechanisms of coupled systems with different excitation forces and thus can facilitate enhanced designs of vibration suppression systems.
AB - This paper investigates the vibration power flow transmission between nonlinearly coupled oscillators, each subjected to a harmonic excitation force with different phase angles. The harmonic balance method is used for analytical formulations of frequency-response relationship and time-averaged power flows. Numerical integrations are also conducted for validation of the analytical results and for comparison. Time-averaged transmitted power between the oscillators is used as an index to quantify the level of vibration transmission. The effects of the stiffness nonlinearity of the coupling interface on vibration power transmission are studied and revealed. It is found that when the excitation forces are of certain phase difference, the dynamic response of the oscillators and power flow between then may be reduced in the low-frequency range. The relative displacement amplitude between two oscillators may increase with the relative phase angle. It is also found that when the system is excited near resonances, the relative phase angle has little effects on the response amplitudes and time-average input power. It is also shown that time-averaged transmitted power is more sensitive than time-averaged input power to the relative phase angle. These findings lead to better understanding of vibration transmission mechanisms of coupled systems with different excitation forces and thus can facilitate enhanced designs of vibration suppression systems.
KW - Double external forces
KW - Nonlinear interface
KW - Power flow analysis
KW - Vibrational energy transfer
UR - http://www.scopus.com/inward/record.url?scp=85099724149&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85099724149
T3 - Proceedings of the International Conference on Structural Dynamic , EURODYN
SP - 283
EP - 302
BT - EURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings
A2 - Papadrakakis, Manolis
A2 - Fragiadakis, Michalis
A2 - Papadimitriou, Costas
PB - European Association for Structural Dynamics
T2 - 11th International Conference on Structural Dynamics, EURODYN 2020
Y2 - 23 November 2020 through 26 November 2020
ER -