弹簧连接质量块压电悬臂梁低频和超宽频性能优化

doi:10.13229/j.cnki.jdxbgxb.20211323

Abstract

Abstract:

Aiming at the problems of low vibration energy collection efficiency and poor practical application effect caused by high natural frequency and narrow frequency band of piezoelectric cantilever beam， the characteristics of energy collection and vibration characteristics of cantilever beam were analyzed by the characteristic frequency equation of Euler-Bernoulli beam， and three parameters affecting the natural frequency of piezoelectric cantilever beam were obtained ： effective stiffness， effective mass and free end inertia moment. A spring-connected mass block structure was proposed to optimize the cantilever beam by changing the overall effective stiffness， and the multi-degree-of-freedom spring cantilever beam was obtained by changing the inertia moment of the structure， which reduced the natural frequency of the beam and was verified in the simulation experiment. In the simulation experiment， it was found that the frequency band superposition phenomenon occured？ due to the decrease of the two-order resonant frequency spacing， and the possibility of its generation was explained by the two-order frequency band decomposition. The experimental results showed that the output voltage of the spring-connected mass block cantilever beam structure was increased by 30% and the frequency band was widened by 2.5 times compared with the traditional structure. Although the improvement effect was not obvious compared with the mass cantilever beam， the output voltage can be increased by 60% and the frequency band width can be increased by 3.3 times after the introduction of multi-degree of freedom.

Key words: piezoelectric cantilever beam, natural frequency, spring-connected mass, multiple degrees of freedom, frequency band superposition

CLC Number:

TN712

Jian-dong JIANG,Zhen YE,Xin QIAO. Low and ultra-wideband performance optimization of spring-connected mass piezoelectric cantilever[J].Journal of Jilin University(Engineering and Technology Edition), 2023, 53(10): 2807-2816.

Figures/Tables 21

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Table 1

Material parameter setting of piezoelectric vibrator"

材料	$ρ / (k g · m - 3)$	$μ$	$E / G P a$	尺寸A×B×C/ （mm×mm×mm）
PZT-5H	7500	0.31	71	60×30×0.2
铍青铜	8300	0.35	130	70×30×0.2
ABS	1200	0.39	2	10×80×5
弹簧（1360）	8000	0.50	150	10×40×1
质量块1	2500	0.35	130	15×15×10
质量块2	2500	0.35	130	15×15×8.5
质量块3	7800	0.35	130	60×30×0.4

Table 1

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Table 2

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References 21

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序号	m/g	k	N_f	O₁	V₁	O₂	V₂
1	5	1.36	3	36.8	16.2	75.7	1.60
2	5	3.02	3	37.0	16.1	75.0	1.60
3	5	6.75	3	37.8	15.9	75.4	1.58
4	10	1.36	3	27.2	15.5	51.7	0.24
5	10	3.02	3	27.2	15.4	51.9	0.24
6	10	6.75	3	27.4	9.4	53.2	0.22
7	15	1.36	3	22.6	10.5	41.7	0.26
8	15	3.02	3	22.6	10.7	41.8	0.26
9	15	6.75	3	22.6	10.4	41.8	0.26
10	20	1.36	3	19.7	7.4	36.0	0.31
11	20	3.02	3	19.8	7.4	36.2	0.28
12	20	6.75	3	19.8	7.4	36.6	0.28

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Low and ultra-wideband performance optimization of spring-connected mass piezoelectric cantilever

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