scholarly journals Modeling and Analysis of Multiple Attached Masses Tuning a Piezoelectric Cantilever Beam Resonant Frequency

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Yuejuan Li ◽  
Xulei Hou ◽  
Wei Qi ◽  
Qiubo Wang ◽  
Xiaolu Zhang
Keyword(s):  
Resonant Frequency ◽  
Cantilever Beam ◽  
Discrete Model ◽  
Experimental Investigations ◽  
Resonant Frequencies ◽  
Modeling And Analysis ◽  
Proposed Model ◽  
Piezoelectric Cantilever ◽  
Designed Experiment ◽  
Piezoelectric Cantilevers

Mechanical vibrations have been an important sustainable energy source, and piezoelectric cantilevers operating at the resonant frequency are regarded as one of the effective mechanisms for converting vibration energy to electricity. This paper focuses on model and experimental investigations of multiple attached masses on tuning a piezoelectric cantilever resonant frequency. A discrete model is developed to estimate the resonant frequencies’ change of a cantilever caused by multiple masses’ distribution on it. A mechanism consisted of a piezoelectric cantilever with a 0.3 g and a 0.6 g movable mass along it, respectively, is used to verify the accuracy of the proposed model experimentally. And another mechanism including a piezoelectric cantilever with two 0.3 g attached masses on it is also measured in the designed experiment to verify the discrete model. Meanwhile, the results from the second mechanism were compared with the results from the first one in which the single attached mass is 0.6 g. Two mechanisms have wildly different frequency bandwidths and sensitivities although the total weight of attached masses is the same, 0.6 g. The model and experimental results showed that frequency bandwidth and sensitivity of a piezoelectric cantilever beam can be adjusted effectively by changing the weight, location, and quantity of attached masses.

Structural Design and Testing of a Butterfly Piezoelectric Generator with Multilayer Cantilever Beams

2013 ◽  
Vol 655-657 ◽  
pp. 823-829 ◽  
Author(s):  
Zhi Lin Ruan ◽  
Jun Jie Gong ◽  
Meng Chang Cai ◽  
Bing Huang
Keyword(s):  
Resonant Frequency ◽  
Cantilever Beam ◽  
Structural Design ◽  
Output Voltage ◽  
Experimental Setup ◽  
Cantilever Beams ◽  
Material Parameters ◽  
Piezoelectric Cantilever ◽  
Piezoelectric Generator ◽  
Design And Testing

In order to solve the inconsistent problem of multi-layer connection and vibration in each layer, a butterfly piezoelectric generator with multilayer cantilever beams is designed. The generator is mainly constituted by butterfly multilayer cantilever beams and mass subassembly two parts. Physical devices of butterfly generator and typical piezoelectric cantilever are fabricated respectively. The experimental setup is also put up for the testing of resonant frequency and output voltage. It can be found that each layer of multilayer generator has a similar output voltage and resonant frequency to the typical one with same geometric and material parameters. So each layer in butterfly piezoelectric generator can be simplified as a typical cantilever beam for researching and analyzing.

scholarly journals Design and Analysis of a T-shaped Piezoelectric Cantilever Beam at Low Resonant Frequency using Vibration for Biomedical Device

2016 ◽  
Vol 9 (4) ◽  
pp. 160-166 ◽  
Author(s):  
Md. Naim Uddin ◽  
Md. Shabiul Islam ◽  
Jahariah Sampe ◽  
M.S. Bhuyan ◽  
Sawal H. Md. Ali
Keyword(s):  
Resonant Frequency ◽  
Cantilever Beam ◽  
Biomedical Device ◽  
Piezoelectric Cantilever

Analysis of the actuating effects of triple-layer piezoelectric cantilevers considering electromechanical coupling correction

2017 ◽  
Vol 31 (04) ◽  
pp. 1750024 ◽  
Author(s):  
Li Jiao Gong ◽  
Cheng Liang Pan ◽  
Qiao Sheng Pan
Keyword(s):  
Analytical Model ◽  
Electromechanical Coupling ◽  
Axial Stress ◽  
Correction Coefficient ◽  
Triple Layer ◽  
Proposed Model ◽  
Piezoelectric Cantilever ◽  
Piezoelectric Layers ◽  
Piezoelectric Coupling ◽  
Piezoelectric Cantilevers

A dynamic analytical model is developed to predict the performance of a triple-layer piezoelectric cantilever as actuators in relation to materials with large piezoelectric and electromechanical coupling (EMC) coefficients under axial stress and plane strain conditions. The dynamic electromechanical behavior of a symmetrical triple-layer piezoelectric cantilever (STLPC) actuator is investigated. The analytical model of STLPC based on electromechanical coupling correction coefficient (EMCC) is established in one-dimensional (1D) form and applied to 1D and 2D deformations. Furthermore, the theoretical analysis of the EMCC model is critically evaluated and compared with the simulations using a finite element method (FEM). Results show that the EMCC model can be accurately applied to analyze the actuation performance of STLPC. Analyzed results show that the proposed model is accurately applied to large and small piezoelectric coupling conditions. The piezoelectric cantilever with large piezoelectric and EMC coefficients can be accurately analyzed by the proposed model accounted for small EMC condition in a traditional model. Design optimization based on actuators is also discussed. Optimal thickness ratios between elastic and piezoelectric layers are effectively calculated and obtained.

scholarly journals Horizontally Assembled Trapezoidal Piezoelectric Cantilevers Driven by Magnetic Coupling for Rotational Energy Harvester Applications

Energies ◽  
2021 ◽  
Vol 14 (2) ◽  
pp. 498
Author(s):  
Yonghyeon Na ◽  
Min-Seon Lee ◽  
Jung Woo Lee ◽  
Young Hun Jeong
Keyword(s):  
Cantilever Beam ◽  
Lead Zirconate Titanate ◽  
Energy Harvester ◽  
Magnetic Coupling ◽  
Rotational Energy ◽  
Resistive Load ◽  
Piezoelectric Cantilever ◽  
Resistance Torque ◽  
Piezoelectric Cantilevers ◽  
Tip Mass

Horizontally assembled trapezoidal piezoelectric cantilevers driven by magnetic coupling were fabricated for rotational energy harvester applications. A dodecagonal rigid frame with an attached array of six trapezoidal cantilevers served as a stator for electrical power generation. A rotor disk with six permanent magnets (PMs) interacted magnetically with the counterpart cantilever’s tip-mass PMs of the stator by rotational motion. Each trapezoidal piezoelectric cantilever beam was designed to operate in a transverse mode that utilizes a planar Ag/Pd electrode printed onto lead zirconate titanate (PZT) piezoelectric thick film. The optimized distance between a pair of PMs of the rotor and the stator was evaluated as approximately 10 mm along the same vertical direction to make the piezoelectric cantilever beam most deflectable without the occurrence of cracks. The theoretically calculated resistance torque was maximized at 46 mN·m for the optimized trapezoidal piezoelectric cantilever. The proposed energy harvester was also demonstrated for wind energy harvester applications. Its harvested output power reached a maximum of approximately 22 mW at a wind speed of 10 m/s under a resistive load of 30 kΩ. The output performance of the proposed energy harvester makes it possible to power numerous low-power applications such as smart sensor systems.

Structure Design and Simulation Analysis of Multiple Micro Piezoelectric Cantilevers

2013 ◽  
Vol 562-565 ◽  
pp. 1208-1213
Author(s):  
An Ran Jiang ◽  
Shi Qiao Gao ◽  
Feng Lin Yao ◽  
Yun Li He
Keyword(s):  
Resonant Frequency ◽  
Structural Design ◽  
Simulation Analysis ◽  
Structure Design ◽  
The Finite Element Method ◽  
Frequency Range ◽  
Piezoelectric Cantilever ◽  
Generation Capacity ◽  
Cantilever Array ◽  
Piezoelectric Cantilevers

In order to effectively capture the environment vibration energy, convert it into electricity and supply energy for the microelectronics devices, multiple micro piezoelectric cantilevers are designed. It is composed of more than one piezoelectric cantilever array, which broaden the resonant frequency band of the piezoelectric vibrator, and it can produce resonance or similar to the resonance in a frequency range. Compared to a single piezoelectric cantilever, multiple piezoelectric cantilevers can effectively broaden the resonant frequency and improve the piezoelectric power generation capacity. The simulation results show that the finite element method can provide important theoretical guidance for the structural design of multiple micro piezoelectric cantilevers.

Modeling and analysis of piezoelectric cantilever-pendulum system for multi-directional energy harvesting

2016 ◽  
Vol 28 (3) ◽  
pp. 323-338 ◽  
Author(s):  
Jiawen Xu ◽  
Jiong Tang
Keyword(s):  
Energy Harvesting ◽  
Internal Resonance ◽  
Vibration Energy ◽  
Vibration Energy Harvesting ◽  
Pendulum System ◽  
Modeling And Analysis ◽  
Piezoelectric Cantilever ◽  
Underlying Mechanisms ◽  
Piezoelectric Cantilevers ◽  
Energy Interchange

Piezoelectric cantilevers are widely used in vibration energy harvesting. Simple cantilever-based harvesters are mostly unidirectional. In this article, we develop a cantilever-pendulum system that can harvest vibratory energy of excitations from an arbitrary direction. The new design consists of a traditional piezoelectric cantilever with a pendulum attached to the tip. It is shown analytically and experimentally that with proper parametric combination this system can induce modal energy interchange between beam vibration and pendulum motions due to 1:2 internal resonance, which ultimately yields multi-directional energy harvesting by a single cantilever. The underlying mechanisms of this design are analyzed in detail.

scholarly journals Modeling and Analysis on Teacher-Student Relationship

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Li Xu ◽  
Qi Yang
Keyword(s):  
Discrete Model ◽  
Equation Model ◽  
Reciprocal Relations ◽  
Modeling And Analysis ◽  
Teacher Student ◽  
Teacher Student Relationship ◽  
Sample Data ◽  
Teachers And Students ◽  
Student Relationship ◽  
The Relationship

Although the teacher-student relationship has been addressed in some studies, the cooperation or reciprocal relations between teachers and students have not been explored sufficiently. In this paper, a difference equation model is applied to express the relationship, stability analysis at the positive steady state of the discrete model is done to verify that the performance output is not empty, and hypothesis testing is conducted to show the validity of the model by means of sample data from a college. Then some reasonable suggestions are proposed to improve the performance output of teachers and students.

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