Analysis of Low Frequency and Broad Band Characteristics of Piezoelectric Vibrators with Periodic Structure
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摘要: 已知压电振子只有处于共振状态才能保证电能的输出水平，但环境中的振源频率远低于普通压电振子的固有频率。对于两种周期结构悬臂梁，建立其理论模型，分别通过数值仿真软件与有限元软件求解其固有频率。结果表明，折叠梁的固有频率对梁段数的增加更为敏感，在梁段数较高的情况下折叠梁的固有频率较低，低频俘能性能优于螺旋梁，但是其各阶模态固有频率之间的跨度较大且不平均，能够与环境中振源频率匹配的模态阶数较少，其宽频俘能能力不如螺旋梁。Abstract: It is known that the piezoelectric vibrator can only ensure the output level of electric energy when it is in resonance state. However, the vibration source frequency in the environment is much lower than the natural frequency of ordinary piezoelectric vibrators. For the two periodic structure cantilever beams, their models are established. The natural frequency is solved with the numerical simulation software and finite element software respectively. The results show that the natural frequency of the zigzag cantilever beam is more sensitive to the increase in the number of beam segments. So the natural frequencies of zigzag cantilever beams are lower when the number of beam segments is higher, and the low frequency energy capture performance is superior to spiral cantilever beams. However, the span between the natural frequencies of each mode are large and uneven, fewer modal orders can match the source frequency in the environment, its broad band energy capture ability is not as good as that of a spiral cantilever beam.
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表 1 10段螺旋结构悬臂梁的固有频率理论值与仿真值的比较
模态阶数 理论计算值/Hz Ansys仿真值/Hz 1 18.87 18.48 2 28.99 29.27 3 30.74 31.07 4 53.66 55.33 5 67.14 68.77 
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表 2 10段折叠旋结构悬臂梁固有频率理论值与仿真值的比较
模态阶数 理论计算值/Hz Ansys仿真值/Hz 1 13.35 13.107 2 21.31 21.37 3 50.63 49.667 4 62.07 62.64 5 94.84 95.44
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