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

Content Provider	Springer Nature Link
Author	Vaurigaud, Bastien Ture Savadkoohi, Alireza Lamarque, Claude Henri
Copyright Year	2011
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.The system is studied under 1:1 resonance for the transient regime and under harmonic excitation. The influence of the system parameters is observed through dimensionless variables. An analytical criterion is defined to tune NES parameters which lead to an efficient TET for the transient and the forced regimes. It will be demonstrated that analytical results are in good agreement with numerical ones.This paper will be followed by a companion paper which mainly deals with the governing equations for compound nonlinear systems with trees of NES devices at each dof; then experimental results of a four storey structure with two parallel NES at the top floor which are tuned by the mentioned technique in the current paper will be demonstrated and commented upon.
Starting Page	763
Ending Page	780
Page Count	18
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	66
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2011-01-29
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Transient regime Stationary regime Complexification Multiple scales Bifurcations Tuning NES in parallel Mechanical Engineering Vibration, Dynamical Systems, Control Automotive Engineering Mechanics
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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