The Accurate Analysis of Magnetic Force of Bi-Stable Piezoelectric Cantilever Energy Harvester

Author(s):  
Yu-Yang Zhang ◽  
Yong-Gang Leng ◽  
Sheng-Bo Fan

In the study of nonlinear bi-stable piezoelectric cantilever energy harvesting system, the accuracy of magnetic force’s calculation on which the potential function and dynamics of the system depend is essential to predict the output response and energy harvesting effect. In this paper, we built a shape function to calculate the trace of the end of the beam with the integral of the entire cantilever beam’s slope, and the magnetic force is consequently derived from the achieved magnets’ real-time position and posture using the magnetizing currents method. With the comprehensive consideration of axial magnetic force and lateral magnetic force, the change of both resultant magnetic force’s value and direction are achieved. The simulation results demonstrate that when the displacement of the magnet at the end of the beam is large enough, the axial and lateral magnetic forces change turn from repulsion to attraction, which leads to a large veer of the direction of resultant magnetic force across two quadrants. And the relationship between magnetic force and interval between two magnets is also achieved. The calculation results of this work are nicely consistent with experimental data. So, the accuracy of this calculation method has been proved to be much higher than the existing calculation method.

2019 ◽  
Vol 7 (8) ◽  
pp. 257
Author(s):  
Xueyuan Zhu ◽  
Qinglong Hao ◽  
Jie Zhang

Anchor penetration is an important issue involved in the study of submarine pipeline damage accidents. To explore the penetration of a ship’s anchor under certain conditions, this study investigated the motion and force of an anchor and formulated a calculation method for the bottoming speed of an anchor. Meanwhile, the depth of anchor penetration was calculated under different conditions according to bottoming speed through programming. Finally, the reliability of the calculation method for the penetration depth was verified by comparing the actual measurement and the numerical simulation. On the basis of the findings, the calculation results were further analyzed, and conclusions were derived regarding the relationship between anchor mass, the horizontal projected area of the anchor, the anchor height on the water surface, and water depth. The conclusions provide suggestions for the application of anchor penetration in terms of seabed depth with certain reference values.


2013 ◽  
Vol 449 (1) ◽  
pp. 24-32 ◽  
Author(s):  
Chan Ho Yang ◽  
Daniel Song ◽  
Min Sik Woo ◽  
Seong Kwang Hong ◽  
Ki Hwan Baek ◽  
...  

2014 ◽  
Vol 14 (08) ◽  
pp. 1440013
Author(s):  
Ji-Tzuoh Lin ◽  
Barclay Lee ◽  
Bruce W. Alphenaar

Nonlinear coupling of a piezoelectric cantilever to an external magnetic force increases the power harvested from a broadband vibration source for relatively large acceleration vibrations. A threshold exists in the minimum acceleration needed for enhancement of the cantilever response. Below this threshold the nonlinear coupling damps the cantilever motion, and the power output is reduced compared to the noncoupled cantilever. By reducing the size of the coupling magnet, the acceleration required to scavenge usable power can be greatly reduced. The smaller diameter magnet decreases the spatial extent of the magnetic force, reducing the acceleration required to surmount the local potential barrier. The experiments result in a six-fold decrease in the acceleration threshold, to levels comparable to those observed in ambient environmental vibrations. The results are in good agreement with numerical calculations.


Author(s):  
Henrik Westermann ◽  
Marcus Neubauer ◽  
Jörg Wallaschek

This article illustrates the modeling of a piezomagnetoelastic energy harvesting system. The generator consists of a piezoelectric cantilever with a magnetic tip mass. A second oppositely poled magnet is attached near the free end of the beam. Due to the nonlinear magnetic restoring force the system exhibits two symmetric stable equilibrium positions and one instable equilibrium position. The equation of motion is derived and it is shown that the system can be modeled as Duffing oscillator. An analytical approach is given to derive the Duffing parameters from the system parameters. The Duffing equation is solved for an oscillation around both equilibrium positions by using the harmonic balance method. For small orbit oscillations the equation of motion is solved by applying the fourth-order multiple scales method.


Micromachines ◽  
2019 ◽  
Vol 10 (10) ◽  
pp. 639 ◽  
Author(s):  
Manjuan Huang ◽  
Cheng Hou ◽  
Yunfei Li ◽  
Huicong Liu ◽  
Fengxia Wang ◽  
...  

This paper proposes an impact-based micro piezoelectric energy harvesting system (PEHS) working with the frequency up-conversion mechanism. The PEHS consists of a high-frequency straight piezoelectric cantilever (SPC), a low-frequency S-shaped stainless-steel cantilever (SSC), and supporting frames. During the vibration, the frequency up-conversion behavior is realized through the impact between the bottom low-frequency cantilever and the top high-frequency cantilever. The SPC used in the system is fabricated using a new micro electromechanical system (MEMS) fabrication process for a piezoelectric thick film on silicon substrate. The output performances of the single SPC and the PEHS under different excitation accelerations are tested. In the experiment, the normalized power density of the PEHS is 0.216 μW·g−1·Hz−1·cm−3 at 0.3 g acceleration, which is 34 times higher than that of the SPC at the same acceleration level of 0.3 g. The PEHS can improve the output power under the low frequency and low acceleration scenario.


2020 ◽  
Vol 3 (2) ◽  
pp. 115-128
Author(s):  
Asta Asta ◽  
Nurjaya Nurjaya

The Kayan Watershed in Bulungan Regency is the largest river in North Kalimantan which has the potential for flooding in several irrigated points. Kayan River is a flood-prone area and prioritized to be handled immediately because there is already a smooth life for the community. Potentially need to know the great potential of flooding in the Kayan River. To find out the relationship between flood discharge and flood time, the Synthetic Unit Hydrograph calculation method is used. The aim is to determine the shape and results of peak discharge in Synthetic Unit Hydrograph Y (SUH). This study uses a debit calculation in the Kayan watershed using Snyder HSS a nd Nakayasu HSS. From the calculation results obtained Snyder SUH peak discharge of 118.0 m3/ sec at 73.85 hours, and Nakayasu SUH has a peak discharge of 109.35 m3 / sec at 54.09 hours.


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