Using passive control by a pendulum in a portal frame platform with piezoelectric energy harvesting

This work presents a passive control strategy using a pendulum on a simple portal frame structure, with two-to-one internal resonance, with a piezoelectric material coupling as a means of energy harvesting. In addition, the system is externally base-excited by an electro-dynamical shaker with harmonic output. Due to internal resonance the system may present the phenomenon of saturation, which provides some nonlinear dynamical behavior to the system. A pendulum is coupled to control nonlinear behaviors, leading to a periodic orbit, which is necessary to maintain energy harvesting. The results show that the system presents, most of the time, as being quasiperiodic. However, it does not present as being chaotic. With the pendulum, it was possible to control most of these quasiperiodic behaviors, leading to a periodic orbit. Moreover, it is possible to eliminate the need for an active or semi-active control, which are usually more complex. In addition, the control provides a way to detune the energy captured to the desired operating frequency.

Download Full-text

Mode Saturation, Mode Coupling and Energy Harvesting From Ambient Vibration in a Portal Frame Structure

Volume 8: 26th Conference on Mechanical Vibration and Noise ◽

10.1115/detc2014-34268 ◽

2014 ◽

Cited By ~ 3

Author(s):

J. M. Balthazar ◽

R. T. Rocha ◽

R. M. F. L. Brasil ◽

A. M. Tusset ◽

B. R. de Pontes ◽

...

Keyword(s):

Energy Harvesting ◽

Mode Coupling ◽

Energy Exchange ◽

Frame Structure ◽

Ambient Vibration ◽

Operating Environment ◽

Recent Interest ◽

Modal Coupling ◽

Portal Frame ◽

Portal Frame Structure

There has been much recent interest in the concepts of electro-mechanical systems that are able to scavenge, or harvest energy from their operating environment. Here, we present the extraction of energy from a simple portal frame structure excited via its second (first symmetric) mode. As 2:1 internal resonance is present between that mode and the first (sway) mode, the phenomenon of mode saturation and energy exchange (modal coupling) occurs. Energy pumped into the system through the second (vertical) mode is partially transferred to the horizontal (sway) mode. This paper presents results of numerical simulations of these phenomena and energy harvesting using a nonlinear piezoelectric material as a means of energy transduction. An evaluation of the energy available for harvesting in each of the considered modes is computed.

Download Full-text

On the Positioning of a Piezoelectric Material in the Energy Harvesting From a Nonideally Excited Portal Frame

Journal of Computational and Nonlinear Dynamics ◽

10.1115/1.4048024 ◽

2020 ◽

Vol 15 (12) ◽

Author(s):

Rodrigo T. Rocha ◽

Angelo M. Tusset ◽

Mauricio A. Ribeiro ◽

Wagner B. Lenz ◽

Remei Haura Junior ◽

...

Keyword(s):

Energy Harvesting ◽

Piezoelectric Material ◽

Degrees Of Freedom ◽

Nonlinear Behavior ◽

Frame Structure ◽

Saturation Phenomenon ◽

Two Degrees Of Freedom ◽

Piezoelectric Energy ◽

Portal Frame ◽

Modes Of Vibration

Abstract In this paper, we consider the application of the piezoelectric energy harvesting using a portal frame structure of two-degrees-of-freedom. The piezoelectric material is considered as a linear device using a capacitive mathematical model. The portal structure is of two-degrees-of-freedom considering with quadratic coupling between the first and second modes of vibration. 2:1 internal resonance between the first and second modes is set, which is a particular condition of this type of system due to the appearance of a saturation phenomenon. As this phenomenon causes the system to start vibrating from the second mode and, at steady-state, vibrates at the first mode, the objective of this work is to verify the energy uptake, considering the different positioning of a piezoelectric material, which is coupled to the supported beam and/or to the column. In addition, the structure is excited by a nonideal DC motor with a limited power supply. The results show a considerably nonlinear behavior due to the nonideal motor, and, with the saturation phenomenon, it is more efficient to collect energy by coupling the PZT to the column. The investigation of the stability of the system due to the piezoelectric coefficient Θ is also taken into account, which is carried out by numerical tools as phase planes, Poincare maps, bifurcation diagrams, and 0–1 test.

Download Full-text

Comments on Energy Harvesting on a 2:1 Internal Resonance Portal Frame Support Structure, Using a Nonlinear-Energy Sink as a Passive Controller

International Review of Mechanical Engineering (IREME) ◽

10.15866/ireme.v10i3.8795 ◽

2016 ◽

Vol 10 (3) ◽

pp. 147 ◽

Cited By ~ 5

Author(s):

Rodrigo Tumolin Rocha ◽

Jose Manoel Balthazar ◽

Angelo Marcelo Tusset ◽

Vinicius Piccirillo ◽

Jorge Luis Palacios Felix

Keyword(s):

Energy Harvesting ◽

Internal Resonance ◽

Nonlinear Energy Sink ◽

Support Structure ◽

Portal Frame ◽

Energy Sink ◽

Nonlinear Energy

Download Full-text

The Bayesian Compromise Decision Support Problem for Multilevel Design Involving Uncertainty

Journal of Mechanical Design ◽

10.1115/1.2919391 ◽

1994 ◽

Vol 116 (2) ◽

pp. 388-395 ◽

Cited By ~ 11

Author(s):

S. Vadde ◽

J. K. Allen ◽

F. Mistree

Keyword(s):

Decision Support ◽

Bayesian Statistics ◽

Set Theory ◽

Fuzzy Set Theory ◽

Frame Structure ◽

Bayesian Decision ◽

Model Uncertainties ◽

Research Issues ◽

Portal Frame ◽

Portal Frame Structure

In this paper we present an extension to the traditional compromise Decision Support Problem (DSP) formulation. In this formulation we use Bayesian statistics to model uncertainties associated with the information being used. In an earlier paper we have introduced a compromise DSP that accounts for uncertainty using fuzzy set theory. In this paper we describe the Bayesian Decision Support Problem. We use this formulation to design a portal frame structure. We discuss the results and compare them with those obtained using the fuzzy DSP. Finally, we discuss the efficacy of incorporating Bayesian statistics into the traditional compromise DSP formulation and describe some of the pending research issues.

Download Full-text

DISCUSSION. STRAINS IN A STEEL PORTAL FRAME STRUCTURE.

Proceedings of the Institution of Civil Engineers ◽

10.1680/iicep.1967.8263 ◽

1967 ◽

Vol 38 (1) ◽

pp. 143-146

Author(s):

R SHEPHERD ◽

W M EL DAKHAKHNI ◽

E R BRYAN

Keyword(s):

Frame Structure ◽

Portal Frame ◽

Portal Frame Structure

Download Full-text

Study on Vertical Wind-Induced Vibration Response for Portal Frame Structures

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.71-78.3605 ◽

2011 ◽

Vol 71-78 ◽

pp. 3605-3609

Author(s):

De Zhi Liang ◽

Min Huang

Keyword(s):

Simulation Analysis ◽

Vertical Wind ◽

Wind Pressure ◽

Frame Structure ◽

Finite Element Software ◽

Average Wind ◽

Portal Frame ◽

Wind Vibration ◽

Portal Frame Structure ◽

The Impact

In recent years, as the portal frame’s height toward higher and the span toward wider, the influence of wind vibration becomes more and more prominent among the portal frame structure. In the design of the portal frame, there are many different opinions on whether considering the impact of the vertical wind vibration to the portal frame. This paper taking a true engineering as an example, using finite element software to establish the solid model of the portal frame structure, selecting the junction of purlin and roof as a node of imposing vertical fluctuating wind load, we made numerical simulation analysis of vertical wind vibration. The simulation results will be compared with data of the internal forces and deformation under the average wind pressure. The results showed that: vertical wind vibration has a prominent effect to the portal frame and should be considered in the design.

Download Full-text

On Mode Coupling Analysis and Stability Regions to Energy Harvesting in a Two-Degrees-of-Freedom Portal Frame Platform

Volume 6: 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control ◽

10.1115/detc2017-67532 ◽

2017 ◽

Author(s):

Rodrigo T. Rocha ◽

Jose M. Balthazar ◽

Angelo M. Tusset ◽

Vinicius Piccirillo ◽

Frederic C. Janzen ◽

...

Keyword(s):

Energy Harvesting ◽

Piezoelectric Material ◽

Internal Resonance ◽

Degrees Of Freedom ◽

Multiple Scales ◽

Great Influence ◽

Two Degrees Of Freedom ◽

Stability Diagrams ◽

Modal Coupling ◽

Portal Frame

This work aims to study the modal coupling of a nonlinear two-degrees-of-freedom portal frame platform and a numerical analysis of the system with a nonlinear piezoelectric (PZT) material coupled to one of its columns, both externally base-excited. The nonlinear platform possesses two-to-one internal resonance between its two vibration modes and presenting the saturation phenomenon. The nonlinearities of the piezoelectric material are considered by a nonlinear mathematical relation. Here, it is considered an electro-dynamical shaker with harmonic output. The employed methodology to carry out the analysis of this work was: the application of the method of multiple scales to find the best configuration of the parameters, and to find some kind of phenomena due to the two-to-one internal resonance; several numerical simulations were carried out to optimize the energy harvesting through parametrical variations, bifurcation diagrams, stability diagrams. It will be analyzed: the influence of the nonlinearity of the piezoelectric material and of the electro-dynamical shaker on the energy harvesting. Results showed great influence of the nonlinearity of the material and using the electro-dynamical device. It was possible to gain considerably in energy harvesting and stability of the system.

Download Full-text