Simulation and the monte carlo method

Nonlinear Oscillations: Exact Solutions and their Approximations

High-Performance Piezoelectric Energy Harvesters and Their Applications

The last two decades have witnessed several advances in microfabrication technologies and electronics, leading to the development of small, low-power devices for wireless sensing, data transmission, actuation, and medical implants. Unfortunately, the actual implementation of such devices in their respective environment has been hindered by the lack of scalable energy sources that are necessary to power and maintain them. Batteries, which remain the most commonly used power sources, have not kept pace with the demands of these devices, especially in terms of energy density. In light of this challenge, the concept of vibratory energy harvesting has flourished in recent years as a possible alternative to provide a continuous power supply. While linear vibratory energy harvesters have received the majority of the literature’s attention, a significant body of the current research activity is focused on the concept of purposeful inclusion of nonlinearities for broadband transduction. When compared to their linear resonant counterparts, nonlinear energy harvesters have a wider steady-state frequency bandwidth, leading to a common belief that they can be utilized to improve performance in ambient environments. Through a review of the open literature, this paper highlights the role of nonlinearities in the transduction of energy harvesters under different types of excitations and investigates the conditions, in terms of excitation nature and potential shape, under which such nonlinearities can be beneficial for energy harvesting. [DOI: 10.1115/1.4026278]

On the Role of Nonlinearities in Vibratory Energy Harvesting: A Critical Review and Discussion

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Stochastic Processes And Filtering Theory

Piezomagnetoelastic energy harvesters are one among the widely explored configurations to improve the broadband characteristics of vibration energy harvesters. Such nonlinear harvesters follow a Moon beam model with two magnets at the base and one at the tip of the beam. The present article develops a geometric nonlinear mathematical model for the broadband piezomagnetoelastic energy harvester. The electromechanical coupling and the nonlinear magnetic potential equations are developed from the dimensional system parameters to describe the nonlinear dynamics exhibited by the system. The developed model is capable of characterizing the monostable, bistable and tristable operating regimes of the piezomagnetoelastic energy harvester, which are not explicit in the Duffing representation of the system. Bifurcations and attractor motions are analyzed as nonlinear functions of the distance between base magnets and the field strength of the tip magnet. The model is further used to characterize the potential wells and stable states, with due focus on the performance of the system in broadband energy harvesting.

Piezomagnetoelastic broadband energy harvester: Nonlinear modeling and characterization

This article investigates an array of pendulums as a potential broadband energy harvester. Closed form expression of the total power is analytically obtained. Effect of parameters on the total power harvested and on frequency band of the harvested power is accessed numerically. Finally experiments are carried out for arrays with two to five pendulums, which strongly supports the numerical observations. Different configurations are studied; (a) pendulums in the array are independent of each other, (b) pendulums are coupled using springs in between. The effect of mechanical grounding, where in the extreme pendulums are connected to the support through a spring, is also investigated. Observations show that array of coupled pendulums with mechanical grounding increased the bandwidth of harvesting frequency. The bandwidth and the total power harvested saturates with the number of pendulums.

Broadband energy harvesting with mechanically coupled harvesters

A low frequency magneto-mechanically coupled energy harvesting system is proposed to increase the power magnitude and bandwidth simultaneously. The system consists of two pendulums that are magnetically and mechanically coupled. The analytical formulation for the coupled system is developed based on the extended Lagrangian formulation. The experimental and simulated results are reported. The results exhibiting the benefits of magneto-mechanical coupling are reported. The experiments show an increment of 30.69% in the power magnitude and 100% enhancement in the bandwidth when compared to independent harvesters even at a low amplitude of excitation. Moreover, Chaos is observed at low frequency and at a low amplitude, which tends to provide larger bandwidths with more power.

Magneto-mechanically coupled electromagnetic harvesters for broadband energy harvesting

https://cronfa.swan.ac.uk/Record/cronfa53466/Download/53466__16538__4fbad1a3eac94bcf9b93dce6ec0f70f3.pdf

Modeling and design of a class of hybrid bistable symmetric laminates with cantilever boundary configuration

This study investigates energy harvesting from vortex induced vibrations of a flexible cantilevered flapper placed in the wake of a rigid circular cylinder. The effect of the gap between the cylinder and the flapper on the energy harvested is investigated through wind tunnel experiments and numerical simulations. As the flow speed is varied, a transition in the flapper dynamics is observed, which in turn affects the power extracted by the harvester. Numerical investigations reveal that the flapper dynamics is different depending on whether the vortices are shed ahead or behind the flapper. This study concludes that the choice of the gap influences the energy harvesting potential of such harvesters.

Shaikh Faruque Ali

Papers

Piezomagnetoelastic broadband energy harvester: Nonlinear modeling and characterization

Broadband energy harvesting with mechanically coupled harvesters

Magneto-mechanically coupled electromagnetic harvesters for broadband energy harvesting

Modeling and design of a class of hybrid bistable symmetric laminates with cantilever boundary configuration

Investigations on a vortex induced vibration based energy harvester