Performance comparison of nonlinear energy sink and linear tuned mass damper in steady-state dynamics of a linear beam

2015 ◽  
Vol 81 (4) ◽  
pp. 1981-2002 ◽  
Author(s):  
Masoumeh Parseh ◽  
Morteza Dardel ◽  
Mohammad Hassan Ghasemi
Keyword(s):  
Steady State ◽  
Nonlinear Energy Sink ◽  
Tuned Mass Damper ◽  
Performance Comparison ◽  
Mass Damper ◽  
Energy Sink ◽  
Nonlinear Energy

Optimal Performance Comparison of Nonlinear Energy Sinks and Linear Tuned Mass Dampers

2021 ◽  
Author(s):  
Ivan Yegorov (Egorov) ◽  
Austin Uden ◽  
Daniil Yurchenko
Keyword(s):  
Nonlinear Energy Sink ◽  
Free Vibrations ◽  
Performance Comparison ◽  
Optimal Performance ◽  
Primary System ◽  
Secondary System ◽  
Impulsive Excitation ◽  
Secondary Systems ◽  
Energy Sink ◽  
Nonlinear Energy

Abstract This paper studies a targeted energy transfer (TET) mechanism for a two-degree-of-freedom (TDOF) model in free vibration. The model comprises a primary linear system and a secondary system in the form of an energy sink which can be nonlinear. The free vibrations are considered subject to an impulsive excitation exerted on the primary system, leading to a nonzero initial velocity. The goal is to obtain the spring parameters in the nonlinear energy sink (NES) so as to maximize an energy dissipation measure (EDM) representing the percentage of impulsive energy that is absorbed and dissipated in the NES. A global optimization algorithm is used for this purpose. The optimal performance is assessed for the purely linear, linear-cubic, and purely cubic configurations of the spring connecting the primary and secondary systems. The corresponding results are compared with each other. The optimization process is performed for the EDM averaged over given ranges of the initial impulse and natural frequency in the primary system. It is shown that the type of the optimal configuration can vary depending on these ranges.

scholarly journals Bistable Nonlinear Energy Sink Using Magnets and Linear Springs: Application to Structural Seismic Control

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Y. Y. Chen ◽  
W. Zhao ◽  
C. Y. Shen ◽  
Z. C. Qian
Keyword(s):  
Permanent Magnets ◽  
Nonlinear Energy Sink ◽  
Vibration Absorber ◽  
Control Performance ◽  
Frame Model ◽  
Seismic Control ◽  
Mass Damper ◽  
Energy Sink ◽  
Shear Frame ◽  
Nonlinear Energy

Nonlinear energy sink (NES) has proven to be very effective in reducing the vibration response of structures. In this paper, a magnetic bistable nonlinear energy sink (BNES) that composed of a guided moving mass attached with linear springs and permanent magnets is proposed. To assess the seismic control performance of the proposed BNES, a shear frame model equipped with the proposed BNES is compared with the same shear frame model equipped with an optimized cubic NES and with a linear tuned mass damper (TMD) system. The results show that, in the idealized situation, where the mass and stiffness is clearly defined (no uncertainty), the BNES can achieve similar performance as a thoroughly in-tuned TMD system. Moreover, in the detuned condition, due to broadband high internal resonance capability, the proposed BNES can outperform the linear TMD and the cubic NES. The study demonstrates that the proposed BNES can be used as an efficient passive vibration absorber for structural seismic control.

scholarly journals Dynamics of Cubic and Vibro-Impact Nonlinear Energy Sink: Analytical, Numerical, and Experimental Analysis

2016 ◽  
Vol 138 (3) ◽  
Author(s):  
Tao Li ◽  
Sébastien Seguy ◽  
Alain Berlioz
Keyword(s):  
Steady State ◽  
Invariant Manifold ◽  
General Equation ◽  
Analytical Procedure ◽  
Multiple Scales ◽  
Nonlinear Energy Sink ◽  
Periodic Forcing ◽  
State Response ◽  
Energy Sink ◽  
Nonlinear Energy

This paper is devoted to study and compare dynamics of primary linear oscillator (LO) coupled to cubic and vibro-impact (VI) nonlinear energy sink (NES) under transient and periodic forcing. The classic analytical procedure combining the approach of invariant manifold and multiple scales is extended from the analysis of steady-state resonance to other regimes, especially strongly modulated response (SMR). A general equation governing the variation of motion along the slow invariant manifold (SIM) is obtained. Numerical results show its convenience to explain the transition from steady-state response to SMR and the characteristics of SMR for periodic forcing. Targeted energy transfer (TET) under transient forcing can also be well understood. Experimental results from LO coupled to VI NES under periodic forcing confirm the existence of SMR and its properties (e.g., chaotic). They also verify the feasibility of the general equation to explain complicated case like SMR in experiments.

Complexification-Averaging Analysis on a Giant Magnetostrictive Harvester Integrated With a Nonlinear Energy Sink

2017 ◽  
Vol 140 (2) ◽  
Author(s):  
Zhi-Wei Fang ◽  
Ye-Wei Zhang ◽  
Xiang Li ◽  
Hu Ding ◽  
Li-Qun Chen
Keyword(s):  
Steady State ◽  
Energy Harvester ◽  
Nonlinear Energy Sink ◽  
Analytical Approximation ◽  
Differential Algebraic Equations ◽  
Primary System ◽  
Algebraic Equations ◽  
Giant Magnetostrictive Material ◽  
Energy Sink ◽  
Nonlinear Energy

The present study aims to investigate the steady-state response regimes of a device comprising a nonlinear energy sink (NES) and a giant magnetostrictive energy harvester utilizing analytical approximation. The complexification-averaging (CX-A) technique is generalized to systems defined by differential algebraic equations (DAEs). The amplitude-frequency responses are compared with numerical simulations for validation purposes. The tensile and compressive stresses of giant magnetostrictive material (GMM) are checked to ensure that the material functions properly. The energy harvested is calculated and the comparison of transmissibility of the apparatus with and without NES–GMM is exhibited to reveal the performance of vibration mitigation. Then, the stability and bifurcations are examined. The outcome demonstrates that the steady-state periodic solutions of the system undergo saddle-node (SN) bifurcation at a certain set of parameters. In the meantime, no Hopf bifurcation is observed. The introduction of NES and GMM for vibration reduction and energy harvesting brings about geometric nonlinearity and material nonlinearity. By computing both the responses of the primary system equipped with the NES only and the NES–GMM, it is indicated that the added GMM can dramatically modify the steady-state dynamics. A further optimization with respect to the cubic stiffness, the damper of NES, and the amplitude of excitation is conducted, respectively. The boundary where the giant magnetostrictive energy harvester is out of work is pointed out as well during the process of optimizing.

Self-excited oscillations attenuation of drill-string system using nonlinear energy sink

2012 ◽  
Vol 227 (2) ◽  
pp. 230-245 ◽  
Author(s):  
Z Nili Ahmadabadi ◽  
SE Khadem
Keyword(s):  
Steady State ◽  
Nonlinear Energy Sink ◽  
Drill String ◽  
Vibration Model ◽  
Steady State Responses ◽  
Stable Equilibria ◽  
Energy Sink ◽  
Parameter Values ◽  
State Responses ◽  
Nonlinear Energy

Application of nonlinear energy sink in annihilating self-excited oscillations of a slightly modified experimental and theoretical torsional vibration model of drill-string with real parameter values is studied in this article. Various configurations have been examined in order to procure steady-state responses in less time and expand the range of the existence of stable equilibria. Moreover, applied modification to the experimental model resulted in more realistic response. It is proven that attaching nonlinear energy sink to different components of a drill-string would help to acquire better responses and/or to improve applicability of the nonlinear energy sink.

An energy-robust nonlinear energy sink with inerter

2021 ◽  
Author(s):  
Jingjing Wang ◽  
Bin Wang ◽  
Yuqiang Zheng
Keyword(s):  
Nonlinear Energy Sink ◽  
Frame Structure ◽  
Seismic Excitation ◽  
Inertial Effect ◽  
Building Structures ◽  
Control Performance ◽  
Mass Damper ◽  
Physical Mass ◽  
Energy Sink ◽  
Nonlinear Energy

<p>This paper presents an inerter-enhanced nonlinear mass damper developed from an asymmetric nonlinear energy sink (Asym NES), which adds an inerter between the auxiliary mass of the Asym NES and a fixed point. The size of the Asym NES-inerter (Asym NESI) can be significantly reduced due to the inerter providing a large inertial effect with limited physical mass involved. The design concept of the Asym NESI will be described first. Subsequently, the performance of the Asym NESI will be evaluated on a three-story frame structure through computational investigations. Results show that the Asym NESI exhibites strong robustness against changes in both energy level and structural frequency. Driven by the inertial effect, the Asym NESI is excellent in control performance and installation flexibility under the seismic excitation considered, demonstrating great potential as a superior control strategy for response mitigation of building structures.</p><p><br clear="none"/></p>

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