Piezoelectric energy harvester under parametric excitation: A theoretical and experimental investigation

2019 ◽  
Vol 31 (4) ◽  
pp. 612-631 ◽  
Author(s):  
Anshul Garg ◽  
Santosha K Dwivedy
Keyword(s):  
Experimental Investigation ◽  
Cantilever Beam ◽  
Parametric Resonance ◽  
Energy Harvester ◽  
Multiple Scales ◽  
Resonance Condition ◽  
Equation Of Motion ◽  
Attached Mass ◽  
Piezoelectric Patch ◽  
Piezoelectric Energy

In the present work, both theoretical and experimental investigation of a vertical cantilever beam–based piezoelectric energy harvester are carried out under principal parametric resonance condition. A piezoelectric patch is attached near the fixed end of the cantilever beam along with an attached mass positioned at an arbitrary location. The extended Hamilton’s principle is used to derive the spatio-temporal equation of motion, and generalized Galerkin’s approximation is used to obtain the temporal nonlinear electromechanical governing equation of motion. The method of multiple scales is used to find the reduced modulation equations. Due to large transverse deflection and effect of rotary inertia of the attached mass, the system exhibits cubic and inertial nonlinearities. An experimental setup with slider crank mechanism–based shaker and a harvester consisting of a cantilever beam with piezoelectric patch and attached mass is designed and developed. The challenges posed by parametric resonance in crack development in the PZT and in the beam are reported. The theoretical and experimental output voltage and the power obtained are found to be in good agreement. Furthermore, a qualitative and quantitative comparative study of 17 energy harvesters has been carried out, and the normalized power densities have been compared.

scholarly journals Theoretical and experimental investigation of parametrically excited piezoelectric energy harvester

2018 ◽  
Vol 211 ◽  
pp. 02009
Author(s):  
Anshul Garg ◽  
Santosha K. Dwivedy
Keyword(s):  
Cantilever Beam ◽  
Energy Harvester ◽  
Multiple Scales ◽  
Resonance Condition ◽  
Beam Theory ◽  
State Response ◽  
Piezoelectric Energy ◽  
Arbitrary Position ◽  
Fixed End ◽  
Euler Bernoulli Beam

In the present work, a cantilever beam based piezoelectric energy harvester is investigated both theoretically and experimentally. The harvester is consists of a harmonically base excited vertical cantilever beam with a piezoelectric patch at the fixed end and a mass attached at an arbitrary position. The Euler-Bernoulli beam theory is applied considering the cantilever beam to be slender. The temporal nonlinear electromechanical governing equation of motion is obtained by using generalized Galerkin’s method considering two-mode approximation. Here for principal parametric resonance condition the steady state response of the voltage is obtained by using the method of multiple scales. The results are validated by developing an experimental setup of the harvester. For the harvester having a dimension of 295 mm×24 mm×7.6 mm, a maximum voltage of 40 V is obtained for a base motion of 9 mm with a frequency of 10.07 Hz when 15 gm mass is attached at a distance of 140 mm from the fixed end.

scholarly journals Power Density Improvement of Piezoelectric Energy Harvesters via a Novel Hybridization Scheme with Electromagnetic Transduction

Micromachines ◽  
2021 ◽  
Vol 12 (7) ◽  
pp. 803
Author(s):  
Zhongjie Li ◽  
Chuanfu Xin ◽  
Yan Peng ◽  
Min Wang ◽  
Jun Luo ◽  
...  
Keyword(s):  
Power Density ◽  
Output Power ◽  
Energy Harvester ◽  
Hybrid Energy ◽  
Energy Harvesters ◽  
Piezoelectric Patch ◽  
Piezoelectric Energy ◽  
Electromagnetic Transduction ◽  
Self Powered ◽  
Power Densities

A novel hybridization scheme is proposed with electromagnetic transduction to improve the power density of piezoelectric energy harvester (PEH) in this paper. Based on the basic cantilever piezoelectric energy harvester (BC-PEH) composed of a mass block, a piezoelectric patch, and a cantilever beam, we replaced the mass block by a magnet array and added a coil array to form the hybrid energy harvester. To enhance the output power of the electromagnetic energy harvester (EMEH), we utilized an alternating magnet array. Then, to compare the power density of the hybrid harvester and BC-PEH, the experiments of output power were conducted. According to the experimental results, the power densities of the hybrid harvester and BC-PEH are, respectively, 3.53 mW/cm3 and 5.14 μW/cm3 under the conditions of 18.6 Hz and 0.3 g. Therefore, the power density of the hybrid harvester is 686 times as high as that of the BC-PEH, which verified the power density improvement of PEH via a hybridization scheme with EMEH. Additionally, the hybrid harvester exhibits better performance for charging capacitors, such as charging a 2.2 mF capacitor to 8 V within 17 s. It is of great significance to further develop self-powered devices.

The effects of width reduction on the damping of a cantilever beam and its application in increasing the harvesting power of piezoelectric energy harvester

2015 ◽  
Vol 24 (4) ◽  
pp. 045006 ◽  
Author(s):  
Jedol Dayou ◽  
Jaehwan Kim ◽  
Jongbeom Im ◽  
Lindong Zhai ◽  
Aaron Ting Chuan How ◽  
...  
Keyword(s):  
Cantilever Beam ◽  
Energy Harvester ◽  
Piezoelectric Energy ◽  
Width Reduction

Suppression of Parametric Resonance in Cantilever Beam With a Pendulum (Effect of Static Friction at the Supporting Point of the Pendulum)

2004 ◽  
Vol 126 (1) ◽  
pp. 149-162 ◽  
Author(s):  
Hiroshi Yabuno ◽  
Tomohiko Murakami ◽  
Jun Kawazoe ◽  
Nobuharu Aoshima
Keyword(s):  
Dynamic Response ◽  
Boundary Conditions ◽  
Cantilever Beam ◽  
Parametric Resonance ◽  
Natural Frequencies ◽  
Dominant Role ◽  
Static Friction ◽  
Equation Of Motion ◽  
Pendulum Motion ◽  
Supporting Point

The dynamic response of a parametrically excited cantilever beam with a pendulum is theoretically and experimentally presented. The equation of motion and the associated boundary conditions are derived considering the static friction of the rotating motion at the supporting point (pivot) of the pendulum. It is theoretically shown that the static friction at the pivot of the pendulum plays a dominant role in the suppression of parametric resonance. The boundary conditions are different between two states in which the motion of the pendulum is either trapped by the static friction or it is not. Because of this variation of the boundary conditions depending on the pendulum motion, the natural frequencies of the system are automatically and passively changed and the bifurcation set for the parametric resonance is also shifted, so that parametric resonance does not occur. Experimental results also verify the effect of the pendulum on the suppression of parametric resonance in the cantilever beam.

Nonlinear Dynamics of Piezoelectric Cantilever Energy Converters Through Perturbation Theory and Experimental Analysis

2014 ◽  
Author(s):  
Paulo S. Varoto ◽  
Andreza T. Mineto
Keyword(s):  
Energy Harvester ◽  
Resonance Condition ◽  
Equations Of Motion ◽  
Electrical Power ◽  
Ambient Vibration ◽  
Vibration Energy Harvester ◽  
Piezoelectric Energy ◽  
Structural Nonlinearities ◽  
Beam Type ◽  
Tip Mass

It is known that the best performance of a given piezoelectric energy harvester is usually limited to excitation at its fundamental resonance frequency. If the ambient vibration frequency deviates slightly from this resonance condition then the electrical power delivered is drastically reduced. One possible way to increase the frequency range of operation of the harvester is to design vibration harvesters that operate in the nonlinear regime. The main goal of this article is to discuss the potential advantages of introducing nonlinearities in the dynamics of a beam type piezoelectric vibration energy harvester. The device is a cantilever beam partially covered by piezoelectric material with a magnet tip mass at the beam’s free end. Governing equations of motion are derived for the harvester considering the excitation applied at its fixed boundary. Also, we consider the nonlinear constitutive piezoelectric equations in the formulation of the harvester’s electromechanical model. This model is then used in numerical simulations and the results are compared to experimental data from tests on a prototype. Numerical as well as experimental results obtained support the general trend that structural nonlinearities can improve the harvester’s performance.

scholarly journals A novel two-degrees-of-freedom piezoelectric energy harvester

2012 ◽  
Vol 24 (3) ◽  
pp. 357-368 ◽  
Author(s):  
Hao Wu ◽  
Lihua Tang ◽  
Yaowen Yang ◽  
Chee Kiong Soh
Keyword(s):  
Energy Harvesting ◽  
Cantilever Beam ◽  
Degrees Of Freedom ◽  
Energy Harvester ◽  
Response Level ◽  
Resonant Frequencies ◽  
Promising Alternative ◽  
Piezoelectric Energy ◽  
Cantilevered Beam ◽  
Compact Design

Energy harvesting from ambient vibrations using piezoelectric effect is a promising alternative solution for powering small electronics such as wireless sensors. A conventional piezoelectric energy harvester usually consists of a cantilevered beam with a proof mass at its free end. For such a device, the second resonance of the piezoelectric energy harvester is usually ignored because of its high frequency as well as low response level compared to the first resonance. Hence, only the first mode has been frequently exploited for energy harvesting in the reported literature. In this article, a novel compact piezoelectric energy harvester using two vibration modes has been developed. The harvester comprises one main cantilever beam and an inner secondary cantilever beam, each of which is bonded with piezoelectric transducers. By varying the proof masses, the first two resonant frequencies of the harvester can be tuned close enough to achieve useful wide bandwidth. Meanwhile, this compact design efficiently utilizes the cantilever beam by generating significant power output from both the main and secondary beams. An experiment and simulation were carried out to validate the design concept. The results show that the proposed novel piezoelectric energy harvester is more adaptive and functional in practical vibrational circumstances.

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