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

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.

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

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.

Remarks on energy harvesting of nonlinear charge and voltage piezoelectric models in a two-degrees-of-freedom nonlinear portal frame model

2020 ◽  
pp. 095440622093999
Author(s):  
Rodrigo T Rocha ◽  
Angelo M Tusset ◽  
Mauricio A Ribeiro ◽  
Wagner B Lenz ◽  
Jose M Balthazar
Keyword(s):  
Energy Harvesting ◽  
Degrees Of Freedom ◽  
Multiple Scales ◽  
Equations Of Motion ◽  
Two Degrees Of Freedom ◽  
Piezoelectric Energy ◽  
Charge Model ◽  
Portal Frame ◽  
A Charge ◽  
Good Agreement

In this paper, a piezoelectric energy harvesting application on a portal frame of two-degrees-of-freedom considering a quadratic coupling between the coordinates with two-to-one internal resonance is considered. The piezoelectric material is considered as a linear device using a voltage and a charge mathematical model. The equations of motion of the system were obtained by applying the energy method of Lagrange, and the method of multiple scales is applied to find an analytical approximated solution of the equations of motion. Numerical results showed that the voltage model and a charge model have good agreement in relation to the behavior and amplitudes of displacement of the system.

Piezoelectric energy harvesting by using a two-degrees-of-freedom portal frame

2018 ◽  
Author(s):  
Rodrigo Tumolin Rocha ◽  
Angelo Marcelo Tusset ◽  
José Manoel Balthazar ◽  
Frederic Conrad Janzen
Keyword(s):  
Energy Harvesting ◽  
Degrees Of Freedom ◽  
Piezoelectric Energy Harvesting ◽  
Two Degrees Of Freedom ◽  
Piezoelectric Energy ◽  
Portal Frame

Energy Harvesting by applying a Hysteretic Damped NES Device into a Portal Frame Platform of two-degrees-of-freedom

2017 ◽  
Author(s):  
José Manoel Balthazar ◽  
Angelo Marcelo Tusset ◽  
Frederic Conrad Janzen ◽  
Rodrigo Tumolin Rocha
Keyword(s):  
Energy Harvesting ◽  
Degrees Of Freedom ◽  
Two Degrees Of Freedom ◽  
Portal Frame

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

2016 ◽  
Vol 10 (3) ◽  
pp. 147 ◽  
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

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

2017 ◽  
Vol 24 (16) ◽  
pp. 3684-3697 ◽  
Author(s):  
Rodrigo T Rocha ◽  
Jose M Balthazar ◽  
Angelo M Tusset ◽  
Vinicius Piccirillo
Keyword(s):  
Energy Harvesting ◽  
Periodic Orbit ◽  
Internal Resonance ◽  
Passive Control ◽  
Dynamical Behavior ◽  
Frame Structure ◽  
Nonlinear Dynamical ◽  
Piezoelectric Energy ◽  
Portal Frame ◽  
Portal Frame Structure

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.

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