Internal resonance in axially loaded beam energy harvesters with an oscillator to enhance the bandwidth

2016 ◽  
Vol 85 (4) ◽  
pp. 2507-2520 ◽  
Author(s):  
Wen-An Jiang ◽  
Li-Qun Chen ◽  
Hu Ding
Keyword(s):  
Internal Resonance ◽  
Beam Energy ◽  
Energy Harvesters ◽  
Axially Loaded

Parameter Identification of a Nonlinear Beam Energy Harvester

2012 ◽  
Author(s):  
Dennis J. Tweten ◽  
Brian P. Mann
Keyword(s):  
Parameter Identification ◽  
Harmonic Balance ◽  
Beam Energy ◽  
Restoring Force ◽  
Nonlinear Beam ◽  
Weakly Nonlinear ◽  
Closed Form Solutions ◽  
Energy Harvesters ◽  
Identification Method ◽  
Balance Parameter

This paper describes the application of the harmonic balance parameter identification method to beam energy harvesters. The method is applied to weakly nonlinear and nonlinear, bistable fixed-free piezoelectric beams with tip masses. It is shown that only one measurement is required to identify parameters even though the systems are continuous. In addition, an experimental method of determining the number of restoring force coefficients required to accurately model the systems is presented. The harmonic balance parameter identification method is extended to account for multiple concurrent frequencies in order to identify parameters of weakly nonlinear systems. Finally, parameters are identified for two experimental energy harvesters. Good agreement is shown between the experimental data and the identified parameters using simulations and closed form solutions.

scholarly journals One-to-One and Three-to-One Internal Resonances in MEMS Shallow Arches

2017 ◽  
Vol 12 (5) ◽  
Author(s):  
Hassen M. Ouakad ◽  
Hamid M. Sedighi ◽  
Mohammad I. Younis
Keyword(s):  
Internal Resonance ◽  
Microelectromechanical Systems ◽  
Multiple Scales ◽  
Internal Resonances ◽  
Interesting Phenomenon ◽  
Shallow Arches ◽  
Energy Harvesters ◽  
Modal Coupling ◽  
One To One ◽  
Direct Attack

The nonlinear modal coupling between the vibration modes of an arch-shaped microstructure is an interesting phenomenon, which may have desirable features for numerous applications, such as vibration-based energy harvesters. This work presents an investigation into the potential nonlinear internal resonances of a microelectromechanical systems (MEMS) arch when excited by static (DC) and dynamic (AC) electric forces. The influences of initial rise and midplane stretching are considered. The cases of one-to-one and three-to-one internal resonances are studied using the method of multiple scales and the direct attack of the partial differential equation of motion. It is shown that for certain initial rises, it is possible to activate a three-to-one internal resonance between the first and third symmetric modes. Also, using an antisymmetric half-electrode actuation, a one-to-one internal resonance between the first symmetric and the second antisymmetric modes is demonstrated. These results can shed light on such interactions that are commonly found on micro and nanostructures, such as carbon nanotubes.

Exploiting internal resonance to improve flow energy harvesting from vortex-induced vibrations

2021 ◽  
pp. 1045389X2110235
Author(s):  
Wenan Jiang ◽  
Ye Li ◽  
Xindong Ma ◽  
Yong Wang ◽  
Liqun Chen ◽  
...  
Keyword(s):  
Internal Resonance ◽  
Electromechanical Coupling ◽  
Harmonic Balance Method ◽  
Physical Parameters ◽  
Dynamical Mechanism ◽  
Energy Harvesters ◽  
Flow Energy ◽  
Vortex Induced Vibrations ◽  
One To One ◽  
Frequency Relationship

Vortex-induced vibrations have been recently employed to capture scalable flow energy harvesters, which can attain the maximum power when the wind speed is in the lock-in region where the vortex-shedding frequency is close to the structural frequency. Nevertheless, the dynamical mechanism of the synchronization phenomenon has not been reported. To solve this critical problem, in this paper we explore a novel internal resonance to scavenge flow energy from vortex-induced vibrations, the mechanism of synchronous oscillations is introduced by the amplitude-frequency relationship and confirmed by the energy function. To show the capturing performance, an electromagnetic energy harvester with one-to-one internal resonance is proposed. Based on the harmonic balance method, the electromechanical coupling equations are decoupled, and the first order approximate harmonic responses of displacement and current are established. The modulation equations are derived, the amplitude-frequency curves of displacement and current are plotted with different detuning parameters. The advantage of the proposed one-to-one internal resonance is compared to the noninternal resonance case, the results express that the internal resonance scheme can enhance flow energy capture. The effects of physical parameters on the scavenged power are discussed. The accuracy and efficiency of the approximate analytical results are checked by numerical simulations.

Analysis of bimorph piezoelectric beam energy harvesters using superconvergent element

2019 ◽  
Vol 30 (15) ◽  
pp. 2299-2313 ◽  
Author(s):  
Peyman Hajheidari ◽  
Ion Stiharu ◽  
Rama Bhat
Keyword(s):  
Beam Energy ◽  
Slenderness Ratio ◽  
Mechanical Energy ◽  
Beam Model ◽  
Bernoulli Beam ◽  
Energy Harvesters ◽  
Piezoelectric Energy ◽  
Piezoelectric Beam ◽  
Euler Bernoulli Beam ◽  
Beam Theories

Cantilever-based piezoelectric energy harvesters have been utilized as structures to extract mechanical energy from the ambient mechanical vibrations and transfer it into the electrical output. In this article, the performance of bimorph piezoelectric beam energy harvesters is investigated. The cantilever beam is modeled by using both Timoshenko and Euler–Bernoulli beam theories. The equations are discretized using the conventional finite element method and superconvergent element. Besides the high rate of convergence, easy switching between the above beam theories is enabled by such type of element. The current model is presented for a Timoshenko beam model, but it could as well be used for a Euler–Bernoulli beam model. In addition, voltage, current, and power frequency response functions for different ranges of load resistance varying from the short-circuit to open-circuit conditions are determined to reach the maximum values. Effects of the slenderness ratio and the required beam model based on the geometric properties of the piezoelectric energy harvesters are discussed in the final part of this study. The results show that only for smaller values of the slenderness ratio (below 5), it is necessary to model the beam using the Timoshenko assumptions; otherwise both beam theories provide approximately the same responses.

Exploiting Super-Harmonic Resonances of a Bi-Stable Axially-Loaded Beam for Energy Harvesting Under Low-Frequency Excitations

2011 ◽  
Author(s):  
Ravindra Masana ◽  
Mohammed F. Daqaq
Keyword(s):  
Energy Harvesting ◽  
Low Frequency ◽  
Primary Resonance ◽  
Energy Harvesters ◽  
Piezoelectric Beam ◽  
Frequency Components ◽  
Voltage Frequency ◽  
Axially Loaded ◽  
Harmonic Resonance ◽  
Super Harmonic Resonance

A research paradox currently lies in the design of miniaturized vibratory energy harvesters capable of harnessing energy efficiently from low-frequency excitations. To address this problem, this effort investigates the prospect of utilizing super-harmonic resonances of a bi-stable system to harvest energy from excitation sources with low-frequency components. Towards that objective, the paper considers the electromechanical response of an axially-loaded clamped-clamped piezoelectric beam harvester with bi-stable potential characteristics. By numerically constructing the voltage-frequency bifurcation maps of the response near the super-harmonic resonance of order two, it is shown that, for certain base excitation levels, the harvester can exhibit responses that are favorable for energy harvesting. These include a unique branch of large-orbit periodic inter-well oscillations, coexisting branches of large-orbit solutions, and a bandwidth of frequencies where a unique chaotic attractor exists. In these regions, the harvester can produce power levels that are comparable to those obtained near the primary resonance.

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