Parameters design for a non-linear absorber based on phase trajectory analysis
The performance of non-linear absorbers for suppression of the structure vibrations depends on the setting of the absorbers' parameters to a certain extent. A slowly varying dynamical system under investigation in the existing work is comprised of a linear oscillator coupled with an attached no...
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doaj-750e6f8ff6f14e488b51d594ccfb46eb2021-04-02T15:31:35ZengWileyThe Journal of Engineering2051-33052018-10-0110.1049/joe.2018.9039JOE.2018.9039Parameters design for a non-linear absorber based on phase trajectory analysisYuan Liu0Feng Wang1Dedong Han2Harbin Institute of TechnologyHarbin Institute of TechnologyHarbin Institute of TechnologyThe performance of non-linear absorbers for suppression of the structure vibrations depends on the setting of the absorbers' parameters to a certain extent. A slowly varying dynamical system under investigation in the existing work is comprised of a linear oscillator coupled with an attached non-linear absorber called non-linear energy sink (NES). Slowly varying equations of the coupled system are achieved first by using the complex averaging method, and trajectory features of the slowly varying system are analysed. On that basis, the non-linear cubic stiffness design method is proposed. Considering that different damping coefficients of the NES impose a large impact on both system energy transfer and energy dissipation between the main structure and the NES, necessary damping conditions for the targeted energy transfer (TET) are obtained by using the phase trajectory analysis. With the proposed method, structure parameters of the NES are designed to get maximum absorbing effects. Finally, all these conclusions about parameters design for the NES are verified by simulation analysis. The simulation results demonstrate that the optimal vibration reduction effectiveness can be achieved with reasonably designed stiffness and damping.https://digital-library.theiet.org/content/journals/10.1049/joe.2018.9039vibration controldampingoscillatorsstructural engineeringparameters designNESnonlinear absorberphase trajectory analysisabsorbersslowly varying dynamical systemlinear oscillatornonlinear energy sinkcoupled systemnonlinear cubic stiffness design methodsystem energy transferenergy dissipationstructure parameterstargeted energy transferTET |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yuan Liu Feng Wang Dedong Han |
spellingShingle |
Yuan Liu Feng Wang Dedong Han Parameters design for a non-linear absorber based on phase trajectory analysis The Journal of Engineering vibration control damping oscillators structural engineering parameters design NES nonlinear absorber phase trajectory analysis absorbers slowly varying dynamical system linear oscillator nonlinear energy sink coupled system nonlinear cubic stiffness design method system energy transfer energy dissipation structure parameters targeted energy transfer TET |
author_facet |
Yuan Liu Feng Wang Dedong Han |
author_sort |
Yuan Liu |
title |
Parameters design for a non-linear absorber based on phase trajectory analysis |
title_short |
Parameters design for a non-linear absorber based on phase trajectory analysis |
title_full |
Parameters design for a non-linear absorber based on phase trajectory analysis |
title_fullStr |
Parameters design for a non-linear absorber based on phase trajectory analysis |
title_full_unstemmed |
Parameters design for a non-linear absorber based on phase trajectory analysis |
title_sort |
parameters design for a non-linear absorber based on phase trajectory analysis |
publisher |
Wiley |
series |
The Journal of Engineering |
issn |
2051-3305 |
publishDate |
2018-10-01 |
description |
The performance of non-linear absorbers for suppression of the structure vibrations depends on the setting of the absorbers' parameters to a certain extent. A slowly varying dynamical system under investigation in the existing work is comprised of a linear oscillator coupled with an attached non-linear absorber called non-linear energy sink (NES). Slowly varying equations of the coupled system are achieved first by using the complex averaging method, and trajectory features of the slowly varying system are analysed. On that basis, the non-linear cubic stiffness design method is proposed. Considering that different damping coefficients of the NES impose a large impact on both system energy transfer and energy dissipation between the main structure and the NES, necessary damping conditions for the targeted energy transfer (TET) are obtained by using the phase trajectory analysis. With the proposed method, structure parameters of the NES are designed to get maximum absorbing effects. Finally, all these conclusions about parameters design for the NES are verified by simulation analysis. The simulation results demonstrate that the optimal vibration reduction effectiveness can be achieved with reasonably designed stiffness and damping. |
topic |
vibration control damping oscillators structural engineering parameters design NES nonlinear absorber phase trajectory analysis absorbers slowly varying dynamical system linear oscillator nonlinear energy sink coupled system nonlinear cubic stiffness design method system energy transfer energy dissipation structure parameters targeted energy transfer TET |
url |
https://digital-library.theiet.org/content/journals/10.1049/joe.2018.9039 |
work_keys_str_mv |
AT yuanliu parametersdesignforanonlinearabsorberbasedonphasetrajectoryanalysis AT fengwang parametersdesignforanonlinearabsorberbasedonphasetrajectoryanalysis AT dedonghan parametersdesignforanonlinearabsorberbasedonphasetrajectoryanalysis |
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1721559888593682432 |