Targeted energy transfer with parallel nonlinear energy sinks. Part I: Design theory and numerical results

摘要

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.