In this article, an oscillation-based bandpass filter with a structure of two magnetically coupled orthogonal cantilevers was proposed for the first time. Two magnetically coupled orthogonal cantilevers with a frequency ratio of 1:2 was adopted, including an input cantilever and an output cantilever. When the input cantilever was driven to resonance directly by a sweep periodic excitation force, a rectangular-like $A$ – $f$ curve was observed in response to the output cantilever theoretically because of internal resonance, which showed great potential for bandpass filter applications. A macro prototype with a center frequency of 73.1 Hz and a 3 dB bandpass width of 6.2 Hz was developed for experimental verification. The experimental results showed that the output signal in the passband was generally linearly related to the input signal as the voltage of the input signal was in the range of 200–600 mV. In addition, the passband ripple could be greatly improved by limiting the deviation of modal frequency ratio by adjusting the center distance of the two magnets in the range of 7.5–8.0 mm. The proposed oscillation-based bandpass filter provided a new idea for the design of filters. Compared to some conventional electronic filters, it possesses a higher reliability and is immune to electromagnetic noise, which is capable of filtering signals in extreme environments, such as high-temperature environment and strong-electromagnetic-noise environment.

中文翻译：

---

具有两个磁耦合正交悬臂梁结构的基于振荡的带通滤波器

在本文中，首次提出了一种具有两个磁耦合正交悬臂梁结构的基于振荡的带通滤波器。采用两个频率比为1:2的磁耦合正交悬臂，包括输入悬臂和输出悬臂。当输入悬臂被扫描周期激励力直接驱动共振时，由于内部共振，理论上观察到输出悬臂响应矩形的$A$-$f$曲线，这显示了带通滤波器应用的巨大潜力. 开发了一个中心频率为 73.1 Hz 和 3 dB 带通宽度为 6.2 Hz 的宏原型用于实验验证。实验结果表明，当输入信号的电压在 200-600 mV 范围内时，通带中的输出信号通常与输入信号呈线性相关。此外，通过在7.5-8.0 mm范围内调整两个磁铁的中心距来限制模态频率比的偏差可以大大改善通带纹波。所提出的基于振荡的带通滤波器为滤波器的设计提供了新的思路。与一些传统的电子滤波器相比，它具有更高的可靠性和抗电磁噪声能力，能够过滤极端环境中的信号，如高温环境和强电磁噪声环境。通过在7.5-8.0 mm范围内调整两个磁铁的中心距来限制模态频率比的偏差可以大大改善通带纹波。所提出的基于振荡的带通滤波器为滤波器的设计提供了新的思路。与一些传统的电子滤波器相比，它具有更高的可靠性和抗电磁噪声能力，能够过滤极端环境中的信号，如高温环境和强电磁噪声环境。通过在7.5-8.0 mm范围内调整两个磁铁的中心距来限制模态频率比的偏差可以大大改善通带纹波。所提出的基于振荡的带通滤波器为滤波器的设计提供了新的思路。与一些传统的电子滤波器相比，它具有更高的可靠性和抗电磁噪声能力，能够过滤极端环境中的信号，如高温环境和强电磁噪声环境。