Highly efficient continuous bistable nonlinear energy sink composed of a cantilever beam with partial constrained layer damping

Using nonlinear energy sink absorber (NESA) is a good countermeasure for vibration suppression in wide board frequency region. The nonlinear normal modes (NNMs) are helpful in dynamics analysis for a NESA-attached system. Being a primary structure, a cantilever beam whose modal functions contain hyperbolic functions is surveyed, in case of being attached with NESA and subjected to a harmonic excitation. With the help of Galerkins method and Raushers method, the NNMs are obtained analytically. The comparison of analytical and numerical results indicates a good agreement, which confirms the existence of the nonlinear normal modes.

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Highly efficient nonlinear energy sink

Nonlinear Dynamics ◽

10.1007/s11071-014-1256-x ◽

2014 ◽

Vol 76 (4) ◽

pp. 1905-1920 ◽

Cited By ~ 69

Author(s):

Mohammad A. AL-Shudeifat

Keyword(s):

Nonlinear Energy Sink ◽

Highly Efficient ◽

Energy Sink ◽

Nonlinear Energy

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Global Dynamics and Optimal Design of a New Highly Efficient Nonlinear Energy Sink Based on Magnetic-Elastic Impacts with Negative Stiffness

10.21203/rs.3.rs-698793/v1 ◽

2021 ◽

Author(s):

Shuangbao Li ◽

Tingting Wang ◽

Jianen Chen

Keyword(s):

Energy Dissipation ◽

Optimal Design ◽

Nonlinear Energy Sink ◽

Negative Stiffness ◽

Global Dynamics ◽

Elastic Impact ◽

Highly Efficient ◽

Dissipation Rates ◽

Energy Sink ◽

Nonlinear Energy

Abstract A new highly efficient elastic-impact bistable nonlinear energy sink (EI-BNES) based on magnetic-elastic impacts with negative stiffness and bistability is proposed and optimized through global dynamical analysis. The EI-BNES has better robustness and higher energy dissipation rates with nearly more than 96.5\% for broadband impulsive excitations than the traditional cubic NESs and single bistable NESs. The structure of negative stiffness impacts is realized by reasonable layout of permanent ring magnets and springs. A two-degree-of-freedom (two-DOF) elastic-impact system is established to describe the coupled nonlinear interaction between the main structure and the attached EI-BNES. A global Melnikov reduction analysis (GMRA) is proposed to study global dynamics and homoclinic bifurcations of the reduced two-dimensional subsystem, which is used to explain the mechanism of nonlinear targeted energy transfer (TET) and detect the threshold of impulsive amplitudes of EI-BNES for in-well and compound motions between in-well and cross-well resonance responses. A special type of saddle-center equilibrium points is also found in the non-smooth system of the EI-BNES and can be used to effectively increase the energy dissipation rates. The optimal design criterion of the tuned EI-BNES for better dissipation performance is also first discussed based on the GMRA and numerical techniques for calculating the Melnikov function of the non-smooth systems. The effectiveness of the analytical GMRA is also verified by numerical simulations.

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Dynamic analysis of vibration reduction and energy harvesting using a composite cantilever beam with Galfenol and a nonlinear energy sink

International Journal of Applied Mechanics ◽

10.1142/s1758825121500897 ◽

2021 ◽

Author(s):

Ye-Wei Zhang ◽

Chuan-Qi Gao ◽

Zhen Zhang ◽

Jian Zang

Keyword(s):

Energy Harvesting ◽

Dynamic Analysis ◽

Cantilever Beam ◽

Vibration Reduction ◽

Nonlinear Energy Sink ◽

Energy Sink ◽

Nonlinear Energy

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Piezoelectric Nonlinear Energy Sink for Broadband Attenuation of Nonlinear Vibrations

ASME 2020 Conference on Smart Materials, Adaptive Structures and Intelligent Systems ◽

10.1115/smasis2020-2299 ◽

2020 ◽

Author(s):

Adriane G. Moura ◽

Jacob Dodson

Keyword(s):

Cantilever Beam ◽

Nonlinear Vibrations ◽

Ritz Method ◽

Nonlinear Energy Sink ◽

Op Amp ◽

Balance Analysis ◽

Energy Sink ◽

Circuit Components ◽

Tip Mass ◽

Nonlinear Energy

Abstract We present a piezoelectric nonlinear energy sink (NES) framework for attenuation of nonlinear vibrations in a cantilever beam. The NES acts as a nonlinear piezoelectric shunt that implements linear components along with op-amp and multiplier nonlinear circuit elements to enable NES dynamics in the electrical domain. The piezoelectric NES was recently shown to provide wideband vibration attenuation in a cantilever undergoing linear mechanical vibrations. Following these recent efforts, we implement the piezoelectric NES to broadband attenuations of nonlinear vibrations of a thin cantilever beam. The model makes use of the linear modal parameters for the bimorph cantilever (PZT-5H patches connected in parallel) for the fundamental natural frequency obtained using the Rayleigh-Ritz method. Circuit parameters for the linear bimorph cantilever target frequency are obtained using harmonic balance analysis. The performance of the piezoelectric NES for broadband attenuation of nonlinear vibrations is evaluated and simulations are performed by modifying the structure (with a tip mass to move its resonance frequency) without tuning the NES circuit components. Simulations are presented for a range of acceleration levels and frequency ranges to demonstrate the broadband attenuation of the nonlinear vibrations using a single circuit configuration.

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