Evaluation of energy and power flow in a nonlinear energy sink attached to a linear primary oscillator

[+] Author and Article Information
Christian E. Silva

Intelligent Infrastructure Systems Lab School of Mechanical Engg West Lafayette, IN 47907 silva15@purdue.edu

Amin Maghareh

2858 Grackle Lane West Lafayette, IN 47906 amaghare@purdue.edu

Hongcheng Tao

203 S. Martin Jishke Dr West Lafayette, IN 47907 taoh@purdue.edu

Shirley J. Dyke

Dept. of Civil Engineering, Box 1130 One Brookings Drive West Lafayette, IN 63130 sdyke@purdue.edu

James Gibert

585 Purdue Mall West Lafayette, IN 47907 jgibert@purdue.edu

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received March 5, 2019; final manuscript received August 1, 2019; published online xx xx, xxxx. Assoc. Editor: Alper Erturk.

ASME doi:10.1115/1.4044450 History: Received March 05, 2019; Accepted August 01, 2019


The objective of this study is to develop a novel methodology to assess the energy flow between a nonlinear energy sink (NES) and the primary system it is attached to in terms of energy orientation, which is directly related to the sign of the power present on the primary system. To extend the work done in previous studies, which have focused primarily on the analytical treatment, characterization and performance evaluation of NES as passive nonlinear dampers for structures under different types of excitations, this study incorporates a methodology for determining whether energy is entering or leaving a primary oscillator when interacting with an NES, by means of considering the power flow of the primary oscillator. Several current measures for evaluating the effectiveness of the NES at extracting and dissipating energy irreversibly are considered through numerical simulations of systems with different damping cases of the NES. Each case provides a different dissipation scenario in the combined system, which is subjected to different types of base excitation signals such as impulse and seismic records. The methodology is further validated experimentally using a two-degrees-of-freedom system with an NES attached to the second mass. Comparisons of the modeled responses versus the measured responses are provided for several physical damping realization scenarios in the NES.

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