Targeted energy transfer with parallel nonlinear energy sinks. Part I: Design theory and numerical results |
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| Authors: | Vaurigaud Bastien Ture Savadkoohi Alireza Lamarque Claude-Henri |
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| Institution: | 1.Université de Lyon, ENTPE/DGCB/FRE CNRS 3237, 3 rue Maurice Audin, 69518, Vaulx-en-Velin Cedex, France
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| Abstract: | In this paper, we study a Targeted Energy Transfer (TET) problem between a p degrees-of-freedom (dof) linear master structure and several coupled parallel slave Nonlinear Energy Sink (NES) systems.
In detail, each lth dof l=1,2,…,p contains n
l
parallel NES; so the linear structure has (n
1+n
2+⋅⋅⋅+n
l
+⋅⋅⋅+n
p
) NES. We are interested to study analytically the TET phenomenon during the first mode of the compound system. To this end,
complexification, averaging, and multiple scales methods are used. |
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| Keywords: | |
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