Design of a B é zier-Profile Plate for Closely Spaced Multimodal Vibration Energy Harvesting

: A cubic B é zier-profile plate for multimodal vibration energy harvesting was developed. The design of the plate was based on an optimization procedure in which the profile of the plate was optimized via the parameters of a cubic B é zier curve to meet the requirements. The multimodal energy harvesting of the plate exploited its first bending mode and its first twisting mode. The conversion of vibration energy into electrical energy was by electromagnetic induction with a magnet attached to a corner of the plate. These two closely spaced vibration modes achieved the multi-modal energy harvesting of the device. Prototypes of the device were manufactured using a numerical-control machining process. The experimental results were in good agreement with the design specifications. With the same base lengths, height, and thickness, the maximum von Mises stress of the proposed plate was much lower due to its bell-shaped profile. The cubic B é zier curve chosen for the plate profile was effective for design of the closely-spaced multimodal vibration energy harvester. With the flexibility of its controllable parametric curve, a high design freedom of the energy harvester with specified frequency ratios could be achieved. the normalized frequency response functions of the optimized design of the B é zier plate with a specified frequency ratio S of 2.6 and 3.0, respectively. These plates had the same base lengths A and B , the same thickness T , and the same height H as those of the B é zier plate with the specified frequency ratio S of 1.6 and 2.0. Figure 8b,d show the profiles of the optimized B é zier plate with the specified S = 2.6 and 3.0, respectively. For the cases in which the first two modal frequencies were commensurate, a nonlinear energy transfer between these modes could be activated [39]. A broadening in the bandwidth of frequencies containing large-amplitude vibrations could be realized. With the flexibility of the parametric curve, the B é zier plate could be tailored to the desired frequency ratios between the first two vibration modes in the interested frequency range.

[1]  Yanping Yuan,et al.  High-energy orbit attainment of a nonlinear beam generator by adjusting the buckling level , 2020 .

[2]  D. Lu,et al.  A packaged piezoelectric vibration energy harvester with high power and broadband characteristics , 2019, Sensors and Actuators A: Physical.

[3]  D. Mazeika,et al.  Saw-tooth type piezoelectric multi-modal energy harvester , 2019, Sensors and Actuators A: Physical.

[4]  Noureddine Bouhaddi,et al.  Design of a nonlinear energy harvester based on high static low dynamic stiffness for low frequency random vibrations , 2018, Sensors and Actuators A: Physical.

[5]  Mustafa Arafa,et al.  Energy harvesting from coupled bending-twisting oscillations in carbon-fibre reinforced polymer laminates , 2018, Mechanical Systems and Signal Processing.

[6]  Farid Ullah Khan,et al.  Multi-mode vibration based electromagnetic type micro power generator for structural health monitoring of bridges , 2018 .

[7]  G. Rahimi,et al.  Study the Effect of Tapering on the Nonlinear Behavior of an Exponentially Varying Width Piezoelectric Energy Harvester , 2018 .

[8]  Pranay Podder,et al.  Multi-frequency MEMS electromagnetic energy harvesting , 2017 .

[9]  Jie Hu,et al.  Unsymmetrical, interdigital vibration energy harvester: Bandwidth adjustment based on mode separation technique , 2017 .

[10]  Li-Qun Chen,et al.  A Broadband Internally-Resonant Vibratory Energy Harvester , 2016 .

[11]  Mohsen Hamedi,et al.  Improvements in energy harvesting capabilities by using different shapes of piezoelectric bimorphs , 2015 .

[12]  Lijie Li,et al.  Double-wall piezoelectric cylindrical energy harvester , 2015 .

[13]  S. Olutunde Oyadiji,et al.  Tapered Two-Layer Broadband Vibration Energy Harvesters , 2015 .

[14]  Walied A. Moussa,et al.  Low frequency piezoelectric energy harvesting at multi vibration mode shapes , 2015 .

[15]  Davide Castagnetti,et al.  Comparison Between a Wideband Fractal-Inspired and a Traditional Multicantilever Piezoelectric Energy Converter , 2015 .

[16]  Jaehwan Kim,et al.  Flexible piezoelectric vibration energy harvester using a trunk-shaped beam structure inspired by an electric fish fin , 2014 .

[17]  Ping Li,et al.  Multi-modal vibration energy harvesting utilizing spiral cantilever with magnetic coupling , 2014 .

[18]  Chengkuo Lee,et al.  A multi-frequency vibration-based MEMS electromagnetic energy harvesting device , 2013 .

[19]  Mustafa Arafa,et al.  Modeling and experimental verification of multi-modal vibration energy harvesting from plate structures , 2013 .

[20]  Davide Castagnetti,et al.  Experimental modal analysis of fractal-inspired multi-frequency structures for piezoelectric energy converters , 2012 .

[21]  Mustafa Arafa,et al.  Multi-Modal Vibration Energy Harvesting Using a Trapezoidal Plate , 2012 .

[22]  Brian P. Mann,et al.  Harmonic balance analysis of the bistable piezoelectric inertial generator , 2012 .

[23]  Marco Ferrari,et al.  A single-magnet nonlinear piezoelectric converter for enhanced energy harvesting from random vibrations ☆ , 2011 .

[24]  Mohammed F. Daqaq,et al.  Relative performance of a vibratory energy harvester in mono- and bi-stable potentials , 2011 .

[25]  Daniel J. Inman,et al.  Analytical Modeling and Experimental Verification of the Vibrations of the Zigzag Microstructure for Energy Harvesting , 2011 .

[26]  Bruno Ando,et al.  Nonlinear mechanism in MEMS devices for energy harvesting applications , 2010 .

[27]  Andreas Vogl,et al.  Fabrication and characterization of a wideband MEMS energy harvester utilizing nonlinear springs , 2010 .

[28]  P. Hagedorn,et al.  A piezoelectric bistable plate for nonlinear broadband energy harvesting , 2010 .

[29]  Chengkuo Lee,et al.  Non-resonant electromagnetic wideband energy harvesting mechanism for low frequency vibrations , 2010 .

[30]  Daniel J. Inman,et al.  Piezoelectric energy harvesting from broadband random vibrations , 2009 .

[31]  Byeng D. Youn,et al.  Robust segment-type energy harvester and its application to a wireless sensor , 2009 .

[32]  Yonas Tadesse,et al.  Multimodal Energy Harvesting System: Piezoelectric and Electromagnetic , 2009 .

[33]  Daniel J. Inman,et al.  Effect of Strain Nodes and Electrode Configuration on Piezoelectric Energy Harvesting From Cantilevered Beams , 2009 .

[34]  Tuna Balkan,et al.  An electromagnetic micro power generator for wideband environmental vibrations , 2008 .

[35]  Di Chen,et al.  A MEMS-based piezoelectric power generator array for vibration energy harvesting , 2008, Microelectron. J..

[36]  Marco Ferrari,et al.  Piezoelectric multifrequency energy converter for power harvesting in autonomous microsystems , 2008 .

[37]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[38]  D. Lu,et al.  Modeling and design of V-shaped piezoelectric vibration energy harvester with stopper for low-frequency broadband and shock excitation , 2021 .

[39]  D. F. Berdya,et al.  Wide-bandwidth , meandering vibration energy harvester with distributed circuit board inertial mass , 2012 .

[40]  Philip H. W. Leong,et al.  A Laser-micromachined Multi-modal Resonating Power Transducer for Wireless Sensing Systems , 2001 .

[41]  S. Mudur.  Mathematical Elements for Computer Graphics , 1985, Advances in Computer Graphics.