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 ◽  
...  

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.

Author(s):  
Rodrigo T. Rocha ◽  
Jose M. Balthazar ◽  
Angelo M. Tusset ◽  
Vinicius Piccirillo ◽  
Frederic C. Janzen ◽  
...  

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.


Author(s):  
Rodrigo Tumolin Rocha ◽  
Angelo Marcelo Tusset ◽  
José Manoel Balthazar ◽  
Frederic Conrad Janzen

Author(s):  
Rodrigo T Rocha ◽  
Angelo M Tusset ◽  
Mauricio A Ribeiro ◽  
Wagner B Lenz ◽  
Jose M Balthazar

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.


2017 ◽  
Vol 24 (16) ◽  
pp. 3684-3697 ◽  
Author(s):  
Rodrigo T Rocha ◽  
Jose M Balthazar ◽  
Angelo M Tusset ◽  
Vinicius Piccirillo

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.


Author(s):  
José Manoel Balthazar ◽  
Angelo Marcelo Tusset ◽  
Frederic Conrad Janzen ◽  
Rodrigo Tumolin Rocha

2016 ◽  
Vol 849 ◽  
pp. 65-75 ◽  
Author(s):  
Jorge Luiz Palacios Felix ◽  
Rafael P. Bianchin ◽  
Alan Almeida ◽  
José M. Balthazar ◽  
Rodrigo T. Rocha ◽  
...  

This paper presents an analytical and numerical analysis of vibration energy harvesting from the dynamic interaction and energy transfer between the two vibration modes of a 2-D-O-F model of a flexible portal frame. The frequencies of these modes are set in a two-to-one internal resonance condition. Excitation is provided by eccentric rotating mass-motor captured in external resonance. Next, we consider the same flexible portal frame excited from various directions with time-variable frequency. A piezoelectric device is used for energy harvesting. Depending on how the piezoelectric energy harvester is installed (or coupled) different gains are obtained. Good performance of the harvester generator is detected. We also observed periodic, quasi-periodic or chaotic oscillations, depending on the saturation phenomenon.


Energies ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 2171
Author(s):  
Hyeonsu Han ◽  
Junghyuk Ko

Along with the increase in renewable energy, research on energy harvesting combined with piezoelectric energy is being conducted. However, it is difficult to predict the power generation of combined harvesting because there is no data on the power generation by a single piezoelectric material. Before predicting the corresponding power generation and efficiency, it is necessary to quantify the power generation by a single piezoelectric material alone. In this study, the generated power is measured based on three parameters (size of the piezoelectric ceramic, depth of compression, and speed of compression) that contribute to the deformation of a single PZT (Lead zirconate titanate)-based piezoelectric element. The generated power was analyzed by comparing with the corresponding parameters. The analysis results are as follows: (i) considering the difference between the size of the piezoelectric ceramic and the generated power, 20 mm was the most efficient piezoelectric ceramic size, (ii) considering the case of piezoelectric ceramics sized 14 mm, the generated power continued to increase with the increase in the compression depth of the piezoelectric ceramic, and (iii) For piezoelectric ceramics of all diameters, the longer the depth of deformation, the shorter the frequency, and depending on the depth of deformation, there is a specific frequency at which the charging power is maximum. Based on the findings of this study, PZT-based elements can be applied to cases that receive indirect force, including vibration energy and wave energy. In addition, the power generation of a PZT-based element can be predicted, and efficient conditions can be set for maximum power generation.


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