Numerical optimisation of a classical stochastic system for targeted energy transfer
Numerical optimisation of a classical stochastic system for targeted energy transfer
The paper studies stochastic dynamics of a two-degree-of-freedom system, where a primary linear system is connected to a nonlinear energy sink with cubic stiffness nonlinearity and viscous damping. While the primary mass is subjected to a zero-mean Gaussian white noise excitation, the main objective of this study is to maximise the efficiency of the targeted energy transfer in the system. A surrogate optimisation algorithm is proposed for this purpose and adopted for the stochastic framework. The optimisations are conducted separately for the nonlinear stiffness coefficient alone as well as for both the nonlinear stiffness and damping coefficients together. Three different optimisation cost functions, based on either energy of the system’s components or the dissipated energy, are considered. The results demonstrate some clear trends in values of the nonlinear energy sink coefficients and show the effect of different cost functions on the optimal values of the nonlinear system’s coefficients.
Targeted energy transfer, Surrogate optimisation, Stochastic system, Random vibration
Gaidai, Oleg
258bf054-5f95-44e8-8e7a-ff2b18cee3a5
Gu, Yubin
93ce02ad-284f-4f4b-aa56-e0966549da72
Xing, Yihan
eb5aa85f-9180-4952-a6fc-dc86ee57f394
Wang, Junlei
d55dc6d0-734d-46e1-bedd-5ecc18df8702
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8
Gaidai, Oleg
258bf054-5f95-44e8-8e7a-ff2b18cee3a5
Gu, Yubin
93ce02ad-284f-4f4b-aa56-e0966549da72
Xing, Yihan
eb5aa85f-9180-4952-a6fc-dc86ee57f394
Wang, Junlei
d55dc6d0-734d-46e1-bedd-5ecc18df8702
Yurchenko, Daniil
51a2896b-281e-4977-bb72-5f96e891fbf8
Gaidai, Oleg, Gu, Yubin, Xing, Yihan, Wang, Junlei and Yurchenko, Daniil
(2022)
Numerical optimisation of a classical stochastic system for targeted energy transfer.
Theoretical and Applied Mechanics Letters.
(doi:10.1016/j.taml.2022.100422).
Abstract
The paper studies stochastic dynamics of a two-degree-of-freedom system, where a primary linear system is connected to a nonlinear energy sink with cubic stiffness nonlinearity and viscous damping. While the primary mass is subjected to a zero-mean Gaussian white noise excitation, the main objective of this study is to maximise the efficiency of the targeted energy transfer in the system. A surrogate optimisation algorithm is proposed for this purpose and adopted for the stochastic framework. The optimisations are conducted separately for the nonlinear stiffness coefficient alone as well as for both the nonlinear stiffness and damping coefficients together. Three different optimisation cost functions, based on either energy of the system’s components or the dissipated energy, are considered. The results demonstrate some clear trends in values of the nonlinear energy sink coefficients and show the effect of different cost functions on the optimal values of the nonlinear system’s coefficients.
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Stochastic_TET
- Accepted Manuscript
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1-s2.0-S2095034922001027-main
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Accepted/In Press date: 14 December 2022
e-pub ahead of print date: 28 December 2022
Keywords:
Targeted energy transfer, Surrogate optimisation, Stochastic system, Random vibration
Identifiers
Local EPrints ID: 474693
URI: http://eprints.soton.ac.uk/id/eprint/474693
ISSN: 2095-0349
PURE UUID: 8d35aa8e-0ed5-4ca1-a4bf-9fb91d05f6a6
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Date deposited: 01 Mar 2023 17:58
Last modified: 17 Mar 2024 04:11
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Contributors
Author:
Oleg Gaidai
Author:
Yubin Gu
Author:
Yihan Xing
Author:
Junlei Wang
Author:
Daniil Yurchenko
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