Vibration energy harvesting with a nonlinear structure

Liu, Chunchuan; Jing, Xingjian

doi:10.1007/s11071-016-2630-7

Cited by 48 publications

(19 citation statements)

References 36 publications

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“…Pumhössel found a method to effectively transfer energy among vibration modes using impulsive force excitations [11]. Liu and Jing [12] proposed an X-shaped structure which has advantageous vibrational energy harvesting performance.…”

Section: Introductionmentioning

confidence: 99%

An intriguing analogy of Kolmogorov’s scaling law in a hierarchical mass–spring–damper model

Kalmár‐Nagy

Bak

2019

Nonlinear Dyn

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In Richardson's cascade description of turbulence, large vortices break up to form smaller ones, transferring the kinetic energy of the flow from large to small scales. This energy is dissipated at the smallest scales due to viscosity. We study energy cascade in a phenomenological model of vortex breakdown. The model is a binary tree of spring-connected masses, with dampers acting on the lowest level. The masses and stiffnesses between levels change according to a power law. The different levels represent different scales, enabling the definition of "mass wavenumbers." The eigenvalue distribution of the model exhibits a devil's staircase self-similarity. The energy spectrum of the model (defined as the energy distribution among the different mass wavenumbers) is derived in the asymptotic limit. A decimation procedure is applied to replace the model with an equivalent chain oscillator. For a significant range of the stiffness decay parameter, the energy spectrum is qualitatively similar to the Kolmogorov spectrum of 3D homogeneous, isotropic turbulence and we find the stiffness parameter for which the energy spectrum has the well-known − 5/3 scaling exponent.

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Section: Introductionmentioning

confidence: 99%

An intriguing analogy of Kolmogorov’s scaling law in a hierarchical mass–spring–damper model

Kalmár‐Nagy

Bak

2019

Nonlinear Dyn

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“…To broaden the resonant bandwidth and improve the power density of the linear energy harvesters, nonlinearity is always introduced to the system with the 3 use of various configured magnets [11][12][13] or mechanical structures [14]. Due to the compactness and stability, magnet configurations have attracted much attention.…”

Section: Introductionmentioning

confidence: 99%

High-energy Orbit Sliding Mode Control for Nonlinear Energy Harvesting

Zhang

Ding

Wang

et al. 2021

Preprint

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Vibration energy harvesting has extensive application prospects in many significant occasions, such as mechanical structure health monitoring, vehicle tire pressure monitoring, IoT devices and human health monitoring. The nonlinearity is an effective method to improve the energy harvesting efficiency where there are low- and high-energy orbits in the multi-solution region of the system. The harvested power will be increased significantly when the system is guided from the low-energy orbit to the high-energy orbit. However, previous research mainly focuses on the theoretical and numerical investigation of controlling strategy, but the feasibility of control methods has not been verified experimentally. This paper proposes a high-energy sliding mode control method through rotatable magnets actuated by micro-motor. The electromechanical model of mono-stable and bi-stable systems with the identified nonlinear restoring force is established to design a sliding mode control algorithm for enhancing the energy harvesting performance. Simulation and experiment results demonstrate that the rotatable magnets with sliding mode control have a positive influence on reaching the high-energy orbit for both mono-stable and bi-stable systems within the multi-solution region. Moreover, the rotatable magnets method with a sliding mode control actuates the small magnets in the system for a short time with little consumption of energy. This research has provided a practical application of high-energy orbit control for improvement of the energy harvesting.

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“…The vibration of a mechanical system is closely related to its stability and also depends on the nonlinear nature of system [1,2]. Most nonlinear vibrations cause damage to the mechanical system [3,4] and compromise stability; therefore, vibration isolation is required [5,6]. By exploiting the characteristics of a nonlinear vibration, it is possible to design a nonlinear vibration absorber [7].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of floating raft system under multiexcitation condition

Li¹,

Zhang²

2020

J. vibroeng.

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A floating raft system is subjected to multiple excitation sources with multiple frequencies for each excitation source. Considering the two characteristics of excitation source, the stability of floating raft system was analyzed. A vibration equation for the floating raft system under multiexcitation condition was established. A multiscale method was then used to solve the equation. The amplitude-frequency response equation and unstable region of solution are discussed. The results show that the vibration of raft frame fits the pattern of soft-spring vibration. This indicates that the excitation of main raft unit with a rigid connection compromises the stability of the system, whereas the excitation of unit with elastic connection increases stability.

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Vibration energy harvesting with a nonlinear structure

Cited by 48 publications

References 36 publications

An intriguing analogy of Kolmogorov’s scaling law in a hierarchical mass–spring–damper model

An intriguing analogy of Kolmogorov’s scaling law in a hierarchical mass–spring–damper model

High-energy Orbit Sliding Mode Control for Nonlinear Energy Harvesting

Stability analysis of floating raft system under multiexcitation condition

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