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

Increase in usage of small electronics and environment threat that batteries provide have accelerated the research in energy harvesting in the last decade. The main challenges in energy harvesting are to increase the operating frequency bandwidth of harvesters and to increase the amount of power harvested. Multiple tuned harvesters have gained a lot of attention in alleviating these challenges. Attaining perfect tuning is a challenge and mistuning is inherent in systems. This study looks into the effect of mistuning in a set of harvesters that are designed to be perfectly tuned. The harvester set is considered to be a set of nonlinear oscillators that represent pendulum-based energy harvester. Four different arrangements among the oscillators are considered. These are (a) series of independent harvesters, (b) series of independent but mistuned harvesters, (c) interacting harvesters, and (d) interacting but mistuned harvesters. In all these cases, base excitation is imparted to the system and physics of the system is studied. It is observed that in the mistuned cases bandwidth is larger when compared to the tuned cases.

Harvesting Energy from a Series of Harvesters

Theoretical and experimental studies on large deflection analysis of double corrugated cantilever structures

This manuscript presents a novel method of creating and stabilizing limit cycles in a chaotic attractor. Chaos control techniques such as the OGY and OPF techniques apply small perturbations to a system parameter to stabilize an unstable periodic orbit present in a chaotic attractor. But it may happen that the system parameters may not be available for control. For example, in structural systems, it is difficult to alter their geometry and material properties in real-time, so as to suppress chaos. In such cases, use of state feedback control will provide ease of implementation. But impulse-like small perturbations, prescribed by the OGY technique, applied as a feedback to the state equations cannot drive the system from its current state to the desired state. A proper control law must be devised to drive the system from one state to another. Hence, we propose that a finite time control effort can be applied to the system states, once per period, to bring back the chaotic trajectory to the desired orbit so as to stabilize it. The implementation of the proposed technique is demonstrated with the help of a bistable Duffing oscillator in this manuscript. It is shown through numerical simulations that the proposed technique is able to stabilize periodic orbits passing through a prescribed set of points lying in the chaotic attractor of a Duffing oscillator.

Creation and stabilization of limit cycles in chaotic attractors through closure of orbits

This manuscript discusses a magnetically coupled nonlinear hybrid piezo-electromagnetic energy harvester under harmonic base motion. Linear energy harvester works optimally when the natural frequency of the harvester meets the resonating frequency, elsewhere harvested power falls drastically. Most of the ambient vibration sources are random in nature. Hence, considering the realistic application, narrowband linear vibration energy harvesters are inefficient. Alternatively, nonlinear energy harvesters are capable of producing the electrical power over a broad frequency range. Hence, to acquire the optimum power in the broader frequency range, a magnetically coupled hybrid piezo-electromagnetic energy harvester is developed. In this current work, a tip loaded unimorph piezo cantilever beam configuration is used to scavenge electrical energy from the strain developed in the piezoelectric patch and spring-magnetic mass attached to another end of the cantilever beam with solenoid arrangements are used to scavenge electrical energy from the relative motion between magnetic mass and solenoid. This hybrid harvester is coupled with magnetic oscillators to introduces nonlinearity in the developed harvester. This paper compares, the energy harvested from the hybrid harvester with that of conventional piezoelectric and electromagnetic harvesters for both linear and nonlinear systems.

A Nonlinear Hybrid Energy Harvester

1Dynamical Systems and Risk Laboratory (DSRL), School of Mechanical and Materials Engineering, University College Dublin (UCD), Belfield, Dublin 4, Ireland 2College of Civil Engineering, Fuzhou University, No. 2 Xue Yuan Road, University Town, Fuzhou, Fujian 350108, China 3Centre for Marine Renewable Energy Ireland (MaREI), University College Cork, Cork, Ireland 4Department of Applied Mechanics, Indian Institute of Technology-Madras (IIT-M), Chennai 600 036, India 5Institut für Integrierte Systeme, Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland

/pdf/vibration-energy-harvesting-for-monitoring-dynamical-systems-1weedspvci.pdf

Shaikh Faruque Ali

Papers

Harvesting Energy from a Series of Harvesters

Theoretical and experimental studies on large deflection analysis of double corrugated cantilever structures

Creation and stabilization of limit cycles in chaotic attractors through closure of orbits

A Nonlinear Hybrid Energy Harvester

Vibration Energy Harvesting for Monitoring Dynamical Systems