Effect of physical and geometrical parameters on the electromechanical coupling characteristics of a cantilevered piezoelectric vibrator

PDF(1333 KB)

Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (17) : 147-151.

Lin Zheng Zhang Yongliang

Author information +

History +

Abstract

In this paper, the effect of physical and geometrical parameters on the electromechanical coupling characteristics of a one-step cantilevered piezoelectric energy harvester is studied. The model equation governing the vibration of a piezoelectric vibrator is derived based on the Euler-Bernoulli beam assumption in the linear and elastic regime, and validated through comparison of theoretical results with experimental ones. Results reveal that impedance matching leads to the maximum mechanical to electrical energy transfer efficiency. And the impedance-matching efficiency increases with the electromechanical coupling coefficient given a constant air and structural damping. The coupling coefficient increases linearly with the squared material electromechanical coupling factor, and is affected significantly by the piezoelectrics-to-substructure modulus, length and thickness ratios, while the effect of piezoelectrics-to-substructure density ratio is relatively small. It is shown that the coupling coefficient increases with the modulus ratio increasing. And with the length and thickness ratios increasing, the coupling coefficient increases initially then decreases after it reaches the maxima. The optimal length ratio, at which the maxima is reached, varies between 0.6~0.7 among a wide span of materials. And the optimal thickness ratio greatly varies depending on the modulus and density ratios. It monotonically increases with the modulus ratio.

Key words

piezoelectric energy harvesting / optimization / material properties / geometrical parameters

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Lin Zheng Zhang Yongliang . Effect of physical and geometrical parameters on the electromechanical coupling characteristics of a cantilevered piezoelectric vibrator[J]. Journal of Vibration and Shock, 2015, 34(17): 147-151

References

[1] Sodano H A, Inman D J, Park G. A review of power harvesting from vibration using piezoelectric materials[J]. Shock and Vibration Digest, 2004, 36(3): 197-206.
[2] Anton S R, Sodano H A. A review of power harvesting using piezoelectric materials (2003–2006)[J]. Smart Materials and Structures, 2007, 16(3): R1.
[3] Beeby S P, Tudor M J, White N M. Energy harvesting vibration sources for microsystems applications[J]. Measurement science and technology, 2006, 17(12): R175.
[4] Cook-Chennault K A, Thambi N, Sastry A M. Powering MEMS portable devices—a review of non-regenerative and regenerative power supply systems with special emphasis on piezoelectric energy harvesting systems[J]. Smart Materials and Structures, 2008, 17(4): 043001.
[5] Rupp C J, Evgrafov A, Maute K, et al. Design of piezoelectric energy harvesting systems: a topology optimization approach based on multilayer plates and shells[J]. Journal of Intelligent Material Systems and Structures, 2009, 20(16): 1923-1939.
[6] Dietl J M, Garcia E. Beam shape optimization for power harvesting[J]. Journal of Intelligent Material Systems and Structures, 2010, 21(6): 633-646.
[7] Matova S P, Renaud M, Jambunathan M, et al. Effect of length/width ratio of tapered beams on the performance of piezoelectric energy harvesters[J]. Smart Materials and Structures, 2013, 22(7): 075015.
[8] 邓冠前, 陈仲生, 陶利民. 不同形状压电振子的振动发电行为研究[J]. 压电与声光, 2010, 32(3): 440-443.
DENG Guan-qian, CHEN Zhong-sheng, TAO Lin-min. Study on vibration energy harveseting behaviors of piezoelectric cantilevers with different geometries[J]. Piezoelectrics and Acoustooptics, 2010, 32(3):440-443.
[9] 单小彪, 袁江波, 谢涛, 等. 不同截面形状悬臂梁双晶压电振子发电能力建模与实验研究[J]. 振动与冲击, 2010, 29(4): 177-180.
SHAN Xiao-biao, YUAN Jiang-bo, XIE Tao, et al. Modeling and test of piezoelectric cantilever generators with different shapes [J]. Journal of Vibration and Shock, 2010, 29(4): 177-180.
[10] 姜德龙, 程光明, 曾平, 等. 悬臂梁双压电晶片振子发电性能研究[J]. 机械设计与制造, 2011 (001): 121-123.
JIANG De-long, CHENG Guang-ming, ZENG Ping, et al. The research on piezoelectric cantilever oscillator generator performance[J]. Machinery Design and Manufacture, 2011 (001): 121-123.
[11] 阚君武, 徐海龙, 王淑云, 等.多振子串联压电俘能器性能分析与测试[J].振动与冲击,2013,32(22):79-83.
KAN Jun-wu,XU Hai-long,WANG Shu-yun,et al. Performance analysis and test of an energy harvester with serial-connected piezodiscs[J]. Journal of Vibration and Shock,2013,32(22):79-83.