Energy Harvesting From Vibrations With a Nonlinear Oscillator

2010 ◽  
Vol 132 (2) ◽  
Author(s):  
David A. W. Barton ◽  
Stephen G. Burrow ◽  
Lindsay R. Clare
Keyword(s):  
Energy Harvesting ◽  
Pure Tone ◽  
Nonlinear Oscillator ◽  
Narrow Band ◽  
Excitation Frequency ◽  
Primary Resonance ◽  
Type Equation ◽  
Random Excitation ◽  
Resonant Response ◽  
Electromagnetic Energy Harvesting

In this paper, we present a nonlinear electromagnetic energy harvesting device that has a broadly resonant response. The nonlinearity is generated by a particular arrangement of magnets in conjunction with an iron-cored stator. We show the resonant response of the system to both pure-tone excitation and narrow-band random excitation. In addition to the primary resonance, the superharmonic resonances of the harvester are also investigated and we show that the corresponding mechanical upconversion of the excitation frequency may be useful for energy harvesting. The harvester is modeled using a Duffing-type equation and the results are compared with the experimental data.

Energy Harvesting From Vibrations With a Nonlinear Oscillator

2009 ◽  
Author(s):  
David A. W. Barton ◽  
Stephen G. Burrow ◽  
Lindsay R. Clare
Keyword(s):  
Energy Harvesting ◽  
Pure Tone ◽  
Nonlinear Oscillator ◽  
Narrow Band ◽  
Excitation Frequency ◽  
Primary Resonance ◽  
Type Equation ◽  
Random Excitation ◽  
Resonant Response ◽  
Electromagnetic Energy Harvesting

In this paper we present a nonlinear electromagnetic energy harvesting device that has a broadly resonant response. The nonlinearity is generated by a particular arrangement of magnets in conjunction with an iron-cored stator. We show the resonant response of the system to both pure-tone excitation and narrow-band random excitation. In addition to the primary resonance, the super-harmonic resonances of the harvester are also investigated and we show that the corresponding mechanical up-conversion of the excitation frequency may be useful for energy harvesting. The harvester is modeled using a Duffing-type equation and the results compared to the experimental data.

Experimental Analysis on the Transduction Coefficient of a Non-Linear Electromagnetic Energy Harvesting Device with Softening Stiffness

2020 ◽  
Vol 17 (2) ◽  
pp. 7816-7831
Author(s):  
P. S. Low ◽  
R. Ramlan ◽  
H. A. Ghani ◽  
N. S. Muhammad
Keyword(s):  
Nonlinear System ◽  
Energy Harvesting ◽  
Linear System ◽  
Experimental Analysis ◽  
Excitation Frequency ◽  
Electromagnetic Energy ◽  
Electromagnetic Energy Harvesting ◽  
Stable Solutions ◽  
Energy Harvesting Devices ◽  
Harmonic Ratio

Nonlinear energy harvesting devices in the form of stiffness nonlinearity have emerged as among the effective solutions to overcome the performance limit of linear energy harvesting devices. However, up to now, researches on the nonlinear devices are only focusing on the ability to widen the bandwidth while the limit of employing linear transduction coefficient in a nonlinear system has yet to be heavily discussed. This paper investigates on the transduction coefficient for both linear and nonlinear systems of an electromagnetic energy harvesting device as a function of the excitation frequency. It is proven that the transduction coefficient of the nonlinear device is larger than its equivalent linear device, especially in the multi-stable solutions region. In common practice, the nonlinearity in the nonlinear system is considered weak, and its transduction coefficient is assumed to converge to the one produced by the linear system. The limits to which the transduction coefficient of a linear system can be employed on the nonlinear system were drawn based on the experimental analysis conducted on the proposed device. The device was designed to perform as a linear or nonlinear system, where the degree of nonlinearity was changed by varying the gap between the magnets. The limit of the transduction coefficient was determined from the analysis of the harmonic ratio. The results show that the linear transduction coefficient is valid to be employed to the nonlinear system when the harmonic ratio is less than five per cent at the multi-stable solutions region.

Response of nonlinear oscillator under narrow-band random excitation

2003 ◽  
Vol 24 (7) ◽  
pp. 817-825 ◽  
Author(s):  
Rong Hai-wu ◽  
Wang Xiang-dong ◽  
Meng Guang ◽  
Xu Wei ◽  
Fang Tong
Keyword(s):  
Nonlinear Oscillator ◽  
Narrow Band ◽  
Random Excitation

Modeling of a Nonlinear Vibration-Based Energy Harvesting System as a Duffing Oscillator

2013 ◽  
Vol 198 ◽  
pp. 663-668
Author(s):  
Henrik Westermann ◽  
Marcus Neubauer ◽  
Jörg Wallaschek
Keyword(s):  
Energy Harvesting ◽  
Resonant Frequency ◽  
Nonlinear Oscillator ◽  
Duffing Oscillator ◽  
Excitation Frequency ◽  
Cantilever Structure ◽  
Energy Harvesting System ◽  
Harvesting Techniques ◽  
Host Structure ◽  
Tip Mass

The harvesting of ambient energy has become more important over the last years. This paper will investigate an analytical effort to predict the Duffing parameters for a magnetoelastic cantilever structure. The modeling is compared to a nonlinear harvester with point dipoles. The system consists of a harmonic excited cantilever structure with a magnetic tip mass. The beam is firmly clamped to the host structure. A second oppositely poled permanent magnet is located near the free end of the beam. The system is a bistable nonlinear oscillator with two equilibrium positions. Several studies show the better performance of the setup. The approach is not limited for energy harvesting techniques. The setup is suitable for broadband oscillations and also to tune the resonant frequency closer to the excitation frequency.

Primary Resonance of a Duffing Oscillator With Two Distinct Time Delays in State Feedback Under Narrow-Band Random Excitation

2007 ◽  
Author(s):  
Yanfei Jin ◽  
Haiyan Hu
Keyword(s):  
Time Delays ◽  
State Feedback ◽  
Multiple Scales ◽  
Narrow Band ◽  
Damping Ratio ◽  
Duffing Oscillator ◽  
Primary Resonance ◽  
Random Excitation ◽  
Equivalent Damping ◽  
The Difference

The primary resonance of a Duffing oscillator with two distinct time delays in state feedback under narrow-band random excitation is investigated in detail by using the method of multiple scales. First, the equations of modulation of response amplitude and phase are determined. Then, the expressions of the first-order and the second-order steady-state moments and their stable regions are obtained by introducing the equivalent detuning frequency and the equivalent damping ratio. For the case of two distinct time delays, the appropriate choices of the combinations of the feedback gains and the difference between two time delays are discussed from the viewpoint of vibration control. Finally, the theoretical analyses are well verified through numerical simulations.

Dynamics of a Duffing Oscillator With Two Time Delays in Feedback Control Under Narrow-Band Random Excitation

2008 ◽  
Vol 3 (2) ◽  
Author(s):  
Yanfei Jin ◽  
Haiyan Hu
Keyword(s):  
Feedback Control ◽  
Time Delays ◽  
Multiple Scales ◽  
Narrow Band ◽  
Duffing Oscillator ◽  
Primary Resonance ◽  
Random Excitation ◽  
Numerical Results ◽  
Linear Feedback ◽  
The Difference

The paper presents analytical and numerical results of the primary resonance of a Duffing oscillator with two distinct time delays in the linear feedback control under narrow-band random excitation. Using the method of multiple scales, the first-order and the second-order steady-state moments of the primary resonance are derived. For the case of two distinct time delays, the appropriate choices of the combinations of the feedback gains and the difference between two time delays are discussed from the viewpoint of vibration control and stability. The analytical results are in well agreement with the numerical results.

Dual-mass electromagnetic energy harvesting from galloping oscillations and base excitation

2020 ◽  
pp. 095440622094891
Author(s):  
Danilo Karličić ◽  
Milan Cajić ◽  
Sondipon Adhikari
Keyword(s):  
Fluid Flow ◽  
Energy Harvesting ◽  
Nonlinear Oscillator ◽  
Bluff Body ◽  
Average Power ◽  
Electromagnetic Energy ◽  
Transverse Displacement ◽  
Base Excitation ◽  
Electromagnetic Energy Harvesting ◽  
Electromagnetic Generator

This paper investigates electromagnetic energy harvesting based on vibration energy extraction from the vibration of a bluff body elastically connected with an additional nonlinear oscillator and subjected to fluid flow and base excitation. The mechanical part is modeled as a system of two coupled oscillators where a combination of harmonic base excitation and fluid forces leads to a steady-state regime. The electromagnetic generator as part of the harvesting device is represented by the equivalent electrical circuit with power dissipated at an electrical load resistance. The mathematical model is based on a set of two coupled nonlinear ordinary differential equations considering the transverse displacement of a bluff body, additional nonlinear oscillator, and currents induced in the electromagnetic generator. By introducing the incremental harmonic balance and continuation methods nonlinear periodic responses are investigated and complex dynamic behavior presented through corresponding response diagrams. The results indicate that for some values of system parameters multiple periodic solutions appear in the form of loops and hysteresis. Finally, the average power of proposed energy harvester is given in time history diagrams for different values of nonlinear stiffness parameter and velocity of fluid flow.

Enhanced swing electromagnetic energy harvesting from human motion

Energy ◽  
2021 ◽  
Vol 228 ◽  
pp. 120591
Author(s):  
Ning Zhou ◽  
Zehao Hou ◽  
Ying Zhang ◽  
Junyi Cao ◽  
Chris R. Bowen
Keyword(s):  
Energy Harvesting ◽  
Human Motion ◽  
Electromagnetic Energy ◽  
Electromagnetic Energy Harvesting
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